Deck 7: Alcohol and Tobacco
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Deck 7: Alcohol and Tobacco
1
According to R.L. Polk & Co., Americans held onto their new vehicles for an average of 71.4 months. A random sample of 60 adults who recently sold their new vehicle was selected. Assuming the standard deviation for this population is 15.8 months, the standard error for this sample is -------.
A)2.04
B)1.30
C)5.92
D)3.56
A)2.04
B)1.30
C)5.92
D)3.56
2.04
2
The Affordable Care Act is a healthcare reform bill that President Obama signed into law on March 23, 2010. This bill is also known as "ObamaCare". A recent survey conducted by Jackson & Coker found that only 13% of doctors support this legislation. To validate these findings, a random sample of 300 doctors was asked if they support the Affordable Care Act. A total of 54 doctors from this sample responded that they supported this bill. Which of the following statements is correct?
A)The interval that contains 95% of the sample proportions is 0.064 and 0.196. Because the sample proportion is not between these two values, we do not have support for the results of the Jackson & Coker survey.
B)The interval that contains 95% of the sample proportions is 0.092 and 0.168. Because the sample proportion is not between these two values, we do not have support for the results of the Jackson & Coker survey.
C)The interval that contains 95% of the sample proportions is 0.064 and 0.196. Because the sample proportion is between these two values, we have support for the results of the Jackson & Coker survey.
D)The interval that contains 95% of the sample proportions is 0.092 and 0.168. Because the sample proportion is between these two values, we have support for the results of the Jackson & Coker survey.
A)The interval that contains 95% of the sample proportions is 0.064 and 0.196. Because the sample proportion is not between these two values, we do not have support for the results of the Jackson & Coker survey.
B)The interval that contains 95% of the sample proportions is 0.092 and 0.168. Because the sample proportion is not between these two values, we do not have support for the results of the Jackson & Coker survey.
C)The interval that contains 95% of the sample proportions is 0.064 and 0.196. Because the sample proportion is between these two values, we have support for the results of the Jackson & Coker survey.
D)The interval that contains 95% of the sample proportions is 0.092 and 0.168. Because the sample proportion is between these two values, we have support for the results of the Jackson & Coker survey.
The interval that contains 95% of the sample proportions is 0.092 and 0.168. Because the sample proportion is not between these two values, we do not have support for the results of the Jackson & Coker survey.
3
The sampling distribution of the proportion follows the ------- probability distribution.
A)binomial
B)Poisson
C)exponential
D)uniform
A)binomial
B)Poisson
C)exponential
D)uniform
binomial
4
Deanna has been hired to visit the local shopping mall to conduct a survey about the upcoming political election. She needs to select respondents at the mall and ask them questions about their voting tendencies. Deanna decides to walk around the mall and select shoppers to participate. Which of the following sampling techniques best describes Deanna's method?
A)stratified
B)convenience
C)systematic
D)simple random
A)stratified
B)convenience
C)systematic
D)simple random
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5
Scotland has been a member of the United Kingdom since the 1707 Act of Union. In a recent poll, 38% of Scots would vote in favor of leaving the U.K. A random sample of 135 Scots was selected. What is the probability that between 50 and 60 of them were in favor of leaving the U.K.?
A)0.7245
B)0.8810
C)0.5318
D)0.3066
A)0.7245
B)0.8810
C)0.5318
D)0.3066
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6
Dover Motors is a car dealership that sells new and used cars. Suppose they sold 140 used cars during the most recent quarter. The average selling price was $10,325 with a standard deviation of $2,880. A random sample of 60 used cars from this population was selected. What is the probability that the sample mean exceeds $10,000?
A)0.9115
B)0.8749
C)0.5987
D)0.6736
A)0.9115
B)0.8749
C)0.5987
D)0.6736
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7
Deanna has been hired to visit the local shopping mall to conduct a survey about the upcoming political election. She needs to select respondents at the mall and ask them questions about their voting tendencies. Deanna decides to randomly select four stores in the mall and then approach each shopper in these stores and ask them to participate in the survey. Which of the following sampling techniques best describes Deanna's method?
A)convenience
B)stratified
C)cluster
D)simple random
A)convenience
B)stratified
C)cluster
D)simple random
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8
Suppose the average driving distance for last year's Masters Golf Tournament was 282.5 yards with a standard deviation of 12.2 yards. A random sample of 30 drives was selected from a total of 4,144 drives that were hit during this tournament. What is the probability that the sample average was 279 yards or less?
A)0.3540
B)0.1611
C)0.0582
D)0.2676
A)0.3540
B)0.1611
C)0.0582
D)0.2676
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9
A study conducted by UCLA's Cooperative Institutional Research program found that 39.5% of college freshman spent six or more hours a week studying or doing homework during their senior year in high school. To verify these results, a random sample of 200 freshmen was asked how many hours they studied a week during their senior year in high school. A total of 88 students from this sample responded that they studied six or more hours a week. Which of the following statements is correct?
A)The interval that contains 95% of the sample proportions is 0.3647 and 0.4253. Because the sample proportion is not between these two values, we have support for the results of UCLA's study.
B)The interval that contains 95% of the sample proportions is 0.3272 and 0.4628. Because the sample proportion is not between these two values, we do not have support for the results of UCLA's study.
C)The interval that contains 95% of the sample proportions is 0.3272 and 0.4628. Because the sample proportion is between these two values, we have support for the results of UCLA's study.
D)The interval that contains 95% of the sample proportions is 0.3647 and 0.4253. Because the sample proportion is between these two values, we have support for the results of UCLA's study.
A)The interval that contains 95% of the sample proportions is 0.3647 and 0.4253. Because the sample proportion is not between these two values, we have support for the results of UCLA's study.
B)The interval that contains 95% of the sample proportions is 0.3272 and 0.4628. Because the sample proportion is not between these two values, we do not have support for the results of UCLA's study.
C)The interval that contains 95% of the sample proportions is 0.3272 and 0.4628. Because the sample proportion is between these two values, we have support for the results of UCLA's study.
D)The interval that contains 95% of the sample proportions is 0.3647 and 0.4253. Because the sample proportion is between these two values, we have support for the results of UCLA's study.
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10
A Florida neighborhood is comprised of 250 houses of which 12% are in foreclosure. A random sample of 91 homes from this neighborhood was selected. The standard error of the proportion is --------.
A)0.0272
B)0.0341
C)0.0748
D)0.0566
A)0.0272
B)0.0341
C)0.0748
D)0.0566
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11
A recent study reported that 73% of Americans could only converse in one language. A random sample of 130 Americans was randomly selected. What is the probability that 100 or fewer of these Americans could only converse in one language?
A)0.6389
B)0.9245
C)0.7510
D)0.8413
A)0.6389
B)0.9245
C)0.7510
D)0.8413
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12
MFP Research reported that average apartment rent in the U.S. is $1,083. A random sample of 39 apartments was selected. Using a population standard deviation of $227, what is the probability that the sample mean will be greater than $1,035?
A)0.7060
B)0.9066
C)0.8319
D)0.7557
A)0.7060
B)0.9066
C)0.8319
D)0.7557
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13
A recent survey conducted by the Country Financial Security Index asked adults 18 and older if they felt that next year will be financially better for them. Thirty percent of the respondents answered "Yes". To verify these findings, a random sample of 250 adults was asked the same question. A total of 55 adults from this sample responded "Yes". Which of the following statements is correct?
A)The interval that contains 95% of the sample proportions is 0.243 and 0.357. Because the sample proportion is between these two values, we have support for the results of the Country Financial Security Index survey.
B)The interval that contains 95% of the sample proportions is 0.243 and 0.357. Because the sample proportion is not between these two values, we do not have support for the results of the Country Financial Security Index survey.
C)The interval that contains 95% of the sample proportions is 0.205 and 0.395. Because the sample proportion is not between these two values, we do not have support for the results of the Country Financial Security Index survey.
D)The interval that contains 95% of the sample proportions is 0.205 and 0.395. Because the sample proportion is between these two values, we have support for the results of the Country Financial Security Index survey.
A)The interval that contains 95% of the sample proportions is 0.243 and 0.357. Because the sample proportion is between these two values, we have support for the results of the Country Financial Security Index survey.
B)The interval that contains 95% of the sample proportions is 0.243 and 0.357. Because the sample proportion is not between these two values, we do not have support for the results of the Country Financial Security Index survey.
C)The interval that contains 95% of the sample proportions is 0.205 and 0.395. Because the sample proportion is not between these two values, we do not have support for the results of the Country Financial Security Index survey.
D)The interval that contains 95% of the sample proportions is 0.205 and 0.395. Because the sample proportion is between these two values, we have support for the results of the Country Financial Security Index survey.
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14
A study conducted by Harvard Business School recorded the amount of time CEOs devoted to various activities during the workweek. Meetings were the single largest activity averaging 18 hours per week. Assume that the standard deviation for the time spent in meetings is 5.2 hours. To confirm these results, a random sample of 35 CEOs was selected. This sample averaged 16.8 hours per week in meetings. Which of the following statements is correct?
A)The interval that contains 95% of the sample means is 15.7 and 20.3 hours. Because the sample mean is between these two values, we have support for the results of the CEO study by the Harvard Business School.
B)The interval that contains 95% of the sample means is 17.1 and 18.9 hours. Because the sample mean is not between these two values, we do not have support for the results of the CEO study by the Harvard Business School.
C)The interval that contains 95% of the sample means is 16.3 and 19.7 hours. Because the sample mean is between these two values, we have support for the results of the CEO study by the Harvard Business School.
D)The interval that contains 95% of the sample means is 15.7 and 20.3 hours. Because the sample mean is between these two values, we do not have support for the results of the CEO study by the Harvard Business School.
A)The interval that contains 95% of the sample means is 15.7 and 20.3 hours. Because the sample mean is between these two values, we have support for the results of the CEO study by the Harvard Business School.
B)The interval that contains 95% of the sample means is 17.1 and 18.9 hours. Because the sample mean is not between these two values, we do not have support for the results of the CEO study by the Harvard Business School.
C)The interval that contains 95% of the sample means is 16.3 and 19.7 hours. Because the sample mean is between these two values, we have support for the results of the CEO study by the Harvard Business School.
D)The interval that contains 95% of the sample means is 15.7 and 20.3 hours. Because the sample mean is between these two values, we do not have support for the results of the CEO study by the Harvard Business School.
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15
Susan would like to conduct a survey of homeowners in the Meadowbrook neighborhood to get their opinions on proposed road modifications in the area. Which of the following is an example of a systematic sample?
A)Susan selects the first 20 homes that she passes as she walks into the entrance of the neighborhood.
B)Susan ensures that her sample contains an equal number of two-story, split-level, and ranch homes in her sample
C)Susan randomly chooses two streets in the neighborhood and selects every home on these streets.
D)Susan selects every third house on each street in the neighborhood.
A)Susan selects the first 20 homes that she passes as she walks into the entrance of the neighborhood.
B)Susan ensures that her sample contains an equal number of two-story, split-level, and ranch homes in her sample
C)Susan randomly chooses two streets in the neighborhood and selects every home on these streets.
D)Susan selects every third house on each street in the neighborhood.
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16
Deanna has been hired to visit the local shopping mall to conduct a survey about the upcoming political election. She needs to select respondents at the mall and ask them questions about their voting tendencies. Deanna decides to set up a booth with a sign offering to pay shoppers $20 if they respond to her survey. Which of the following sampling techniques best describes Deanna's method?
A)systematic
B)stratified
C)convenience
D)simple random
A)systematic
B)stratified
C)convenience
D)simple random
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17
Susan would like to conduct a survey of homeowners in the Meadowbrook neighborhood to get their opinions on proposed road modifications in the area. Which of the following is an example of a stratified sample?
A)Susan selects every third house on each street in the neighborhood.
B)Susan randomly chooses two streets in the neighborhood and selects every home on these streets.
C)Susan ensures that her sample contains a number of two-story, split-level, and ranch homes in her sample that corresponds to the number of homes in the neighborhood.
D)Susan selects the first 20 homes that she passes as she walks into the entrance of the neighborhood.
A)Susan selects every third house on each street in the neighborhood.
B)Susan randomly chooses two streets in the neighborhood and selects every home on these streets.
C)Susan ensures that her sample contains a number of two-story, split-level, and ranch homes in her sample that corresponds to the number of homes in the neighborhood.
D)Susan selects the first 20 homes that she passes as she walks into the entrance of the neighborhood.
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18
The Fortune 500 is comprised of Fortune magazine's annual list of the top 500 companies in the U.S. ranked by revenues. According to Catalyst, 16% of positions on corporate boards at Fortune 500 companies were held by women in 2011. A random sample of 100 Fortune 500 companies was selected. The standard error of the proportion is ------.
A)0.0125
B)0.0467
C)0.0329
D)0.0592
A)0.0125
B)0.0467
C)0.0329
D)0.0592
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19
The Wall Street Journal reported that a recently conducted travel found that 28% of baby boomers (those born between 1946 and 1964)took a cruise vacation within the last three years. A random sample of 75 baby boomers was selected. What is the probability that 23 or fewer of these individuals took a cruise within the last three years?
A)0.5060
B)0.8248
C)0.7566
D)0.6985
A)0.5060
B)0.8248
C)0.7566
D)0.6985
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20
The finite population correction factor for the standard error of the mean should be used when the ratio of the sample size to the size of the population exceeds -------- .
A)5%
B)3%
C)2%
D)1%
A)5%
B)3%
C)2%
D)1%
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21
A ------- sample is a sample in which every member of the population has an equal chance of being chosen.
A)stratified
B)simple random
C)probability
D)systematic
A)stratified
B)simple random
C)probability
D)systematic
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22
For a sample size of two or more, the standard error of the mean must be --------.
A)less than the population mean
B)more than the population mean
C)less than the population standard deviation
D)equal to the population standard deviation
A)less than the population mean
B)more than the population mean
C)less than the population standard deviation
D)equal to the population standard deviation
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23
The statistical technique where many samples are repeatedly drawn from a population is known as
A)resampling.
B)nonprobability sampling.
C)probability sampling.
D)convenience sampling.
A)resampling.
B)nonprobability sampling.
C)probability sampling.
D)convenience sampling.
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24
A recent study reported that 28% of shoppers only review one page when searching online for product information. A random sample of 100 shoppers was randomly selected. What is the probability that between 20 and 30 of these shoppers only review one page when searching online?
A)0.5418
B)0.3266
C)0.6361
D)0.4692
A)0.5418
B)0.3266
C)0.6361
D)0.4692
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25
According to Net Market Share, Microsoft's Internet Explorer browser has 53.4% of the global market. A random sample of 70 users was selected. What is the probability that 32 or more from this sample used Internet Explorer as their browser?
A)0.9608
B)0.9015
C)0.7266
D)0.8050
A)0.9608
B)0.9015
C)0.7266
D)0.8050
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26
According to comScore, Facebook users spent an average of 432 minutes on the site during a recent month. Assume that this population has a standard deviation of 127 minutes. A random sample of 50 users was selected from this population. What is the probability that the average number of minutes on the site in the recent month was less than 410 minutes?
A)0.1112
B)0.2806
C)0.0643
D)0.3384
A)0.1112
B)0.2806
C)0.0643
D)0.3384
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27
The national average price for regular gasoline was recently reported to be $3.29 per gallon. The standard deviation for the price of regular gasoline was $0.12. A random sample of 33 gas stations had an average price of $3.26. Which of the following statements is correct?
A)The interval that contains 95% of the sample means is $3.25 and $3.33. Because the sample
B)The interval that contains 95% of the sample means is $3.20 and $3.38. Because the sample mean is between these two values, we do not have support that the average price for regular gasoline is $3.29
C)The interval that contains 95% of the sample means is $3.23 and $3.35. Because the sample mean is between these two values, we do not have support that the average price for regular gasoline is $3.29.
D)The interval that contains 95% of the sample means is $3.17 and $3.41. Because the sample mean is between these two values, we have support that the average price for regular gasoline is $3.29.
A)The interval that contains 95% of the sample means is $3.25 and $3.33. Because the sample
B)The interval that contains 95% of the sample means is $3.20 and $3.38. Because the sample mean is between these two values, we do not have support that the average price for regular gasoline is $3.29
C)The interval that contains 95% of the sample means is $3.23 and $3.35. Because the sample mean is between these two values, we do not have support that the average price for regular gasoline is $3.29.
D)The interval that contains 95% of the sample means is $3.17 and $3.41. Because the sample mean is between these two values, we have support that the average price for regular gasoline is $3.29.
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28
The Central Limit Theorem requires
A)the resampling technique to be used to select the sample.
B)a sample size of at least 30 be used to ensure that the samples means are normally distributed.
C)the population be normally distributed to ensure that the samples means are normally distributed.
D)the bootstrap method to be used to select the sample.
A)the resampling technique to be used to select the sample.
B)a sample size of at least 30 be used to ensure that the samples means are normally distributed.
C)the population be normally distributed to ensure that the samples means are normally distributed.
D)the bootstrap method to be used to select the sample.
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29
As the size of the sample increases, the ---------.
A)standard error of the mean becomes smaller
B)population standard deviation increases
C)shape of the sampling distribution becomes wider
D)sampling error increases
A)standard error of the mean becomes smaller
B)population standard deviation increases
C)shape of the sampling distribution becomes wider
D)sampling error increases
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30
Recently, the average amount of time to foreclose on a house in the U.S. was reported to be 359 days. Assume that the standard deviation for this population is 90.4 days. A random sample of 42 homes that have completed the foreclosure process was selected. What is the probability that the sample average was less than 375 days?
A)0.5129
B)0.8749
C)0.6350
D)0.7264
A)0.5129
B)0.8749
C)0.6350
D)0.7264
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31
A statistics class has 140 students of which 55% are female. A random sample of 40 students was selected. What is the probability that 24 or more from this sample will be female?
A)0.0505
B)0.2266
C)0.2611
D)0.1469
A)0.0505
B)0.2266
C)0.2611
D)0.1469
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32
A key metric in the cell phone industry is average revenue per user (ARPU)which represents the average dollar amount that a customer spends per store visit. Recently, AT&T reported their ARPU was $67.81. Suppose the standard deviation for this population is $18.45. What is the probability that the ARPU will be between $62 and $66 from a random sample of 35 customers?
A)0.3553
B)0.4470
C)0.5619
D)0.2496
A)0.3553
B)0.4470
C)0.5619
D)0.2496
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33
According to market research surveys, HP controls 60% of the color inkjet printer market in the U.S. A random sample of 120 inkjet users was selected. What is the probability that 65 or fewer of these individuals used an HP printer?
A)0.1520
B)0.279
C)0.3256
D)0.0968
A)0.1520
B)0.279
C)0.3256
D)0.0968
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34
Deanna has been hired to visit the local shopping mall to conduct a survey about the upcoming political election. She needs to select respondents at the mall and ask them questions about their voting tendencies. Voting records show that 50% of the local population are registered as Republicans, 35% are registered as Democrats, and the remaining as Independents. Deanna wants to be sure that her final sample has a similar proportion of voters. Which of the following sampling techniques best describes Deanna's method?
A)convenience
B)simple random
C)stratified
D)cluster
A)convenience
B)simple random
C)stratified
D)cluster
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35
John is the manager at a fast food restaurant and would like to determine the average number of cars waiting for their order in the drive-through line during his hours of operation. Every day at noontime, he counts the number of cars in the drive-through. Because of the lunchtime traffic, his survey overestimates the actual average throughout the day. This error is due to
A)sampling error.
B)nonsampling error.
C)periodicity.
D)nonprobability error.
A)sampling error.
B)nonsampling error.
C)periodicity.
D)nonprobability error.
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36
The Beer Institute reported that monthly consumption of beer in is 1.7 gallons per person. A random sample of 36 adults was selected. Using a standard deviation of 0.5 gallons per month per person, what is the probability that the sample mean was between 1.6 and 1.8 gallons per month per person?
A)0.9082
B)0.7698
C)0.4960
D)0.5596
A)0.9082
B)0.7698
C)0.4960
D)0.5596
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37
In Chapter 1, the textbook author provided the following extreme example of a poorly worded survey question: "We would like to propose a national golf holiday. Everybody gets the day off from work and can play golf all day. (You would not need permission from your spouse to play.)Are you in favor of this proposal?
A. Yes, most definitely.
B. Sure, why not?
C. No, I would rather spend the entire day at work.
P.S. If you choose C, we will permanently revoke all your golfing privileges everywhere in the country for the rest of your life. We are dead serious.""
The results of this survey would be unreliable due to
A)nonsampling error.
B)judgment error.
C)nonprobability error.
D)sampling error.
A. Yes, most definitely.
B. Sure, why not?
C. No, I would rather spend the entire day at work.
P.S. If you choose C, we will permanently revoke all your golfing privileges everywhere in the country for the rest of your life. We are dead serious.""
The results of this survey would be unreliable due to
A)nonsampling error.
B)judgment error.
C)nonprobability error.
D)sampling error.
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38
The Central Limit Theorem (CLT)states that the sample means
A)of any samples will be normally distributed regardless of the shape of their population distributions.
B)of large-sized samples will be normally distributed regardless of the shape of their population distributions.
C)of any samples will be uniformly distributed regardless of the shape of their population distributions.
D)of large-sized samples will be uniformly distributed regardless of the shape of their population distributions.
A)of any samples will be normally distributed regardless of the shape of their population distributions.
B)of large-sized samples will be normally distributed regardless of the shape of their population distributions.
C)of any samples will be uniformly distributed regardless of the shape of their population distributions.
D)of large-sized samples will be uniformly distributed regardless of the shape of their population distributions.
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39
------ errors can occur as a result of a questionnaire that contains ambiguous questions.
A)Judgment
B)Nonsampling
C)Sampling
D)Nonprobability
A)Judgment
B)Nonsampling
C)Sampling
D)Nonprobability
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40
Susan would like to conduct a survey of homeowners in the Meadowbrook neighborhood to get their opinions on proposed road modifications in the area. Which of the following is an example of a simple random sample?
A)Susan selects the first 20 homes that she passes as she walks into the entrance of the neighborhood.
B)Susan randomly chooses two streets in the neighborhood and selects every home on these streets.
C)Susan selects every third house on each street in the neighborhood.
D)None of these choices describes a simple random sample.
A)Susan selects the first 20 homes that she passes as she walks into the entrance of the neighborhood.
B)Susan randomly chooses two streets in the neighborhood and selects every home on these streets.
C)Susan selects every third house on each street in the neighborhood.
D)None of these choices describes a simple random sample.
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41
A --------- sample is a sample in which each member of the population has a known, nonzero, chance of being selected for the sample.
A)systematic
B)convenience
C)simple random
D)probability
A)systematic
B)convenience
C)simple random
D)probability
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42
The MBA program at Dover College has an enrollment of 160 students with an average age of 34.7 years old and a standard deviation 5.2 years. A random sample of 40 MBA students was selected. What is the probability that the average age of the sample is less than 34 years old?
A)0.3300
B)0.1635
C)0.2946
D)0.4443
A)0.3300
B)0.1635
C)0.2946
D)0.4443
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43
An Epson inkjet printer ad advertises that the black ink cartridge will provide enough ink for an average of 245 pages. Assume that this claim is accurate and that the standard deviation for this population is 15 pages. A random sample of 33 customers was surveyed about the number of pages they were able to print with their black ink cartridges. What the probability that the sample mean will be 246 pages or less?
A)0.1093
B)0.6480
C)0.8729
D)0.3520
A)0.1093
B)0.6480
C)0.8729
D)0.3520
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44
Deanna has been hired to visit the local shopping mall to conduct a survey about the upcoming political election. She needs to select respondents at the mall and ask them questions about their voting tendencies. Deanna decides to position herself by the only entrance to the mall and select every 10th shopper entering the mall to participate. Which of the following sampling techniques best describes Deanna's method?
A)cluster
B)systematic
C)probability
D)simple random
A)cluster
B)systematic
C)probability
D)simple random
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45
Recent survey data indicated that 14.2% of adults between the ages of 25 and 34 live with their parents. A random sample of 125 young adults in this age group was selected. What is the probability that between 13 and 17 of these young adults lived with their parents?
A)0.1808
B)0.3505
C)0.2620
D)0.3135
A)0.1808
B)0.3505
C)0.2620
D)0.3135
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46
Periodicity is present in the population when
A)the population cannot be divided into mutually exclusive groups.
B)there is a pattern in the sample consistent with the value of k that is chosen in cluster sampling.
C)the population can be divided into mutually exclusive groups.
D)there is a pattern in the population consistent with the value of k that is chosen in systematic sampling.
A)the population cannot be divided into mutually exclusive groups.
B)there is a pattern in the sample consistent with the value of k that is chosen in cluster sampling.
C)the population can be divided into mutually exclusive groups.
D)there is a pattern in the population consistent with the value of k that is chosen in systematic sampling.
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47
The primary purpose of stratified sampling is to make the sampling process
A)more convenient.
B)more accurate.
C)less biased.
D)more economical.
A)more convenient.
B)more accurate.
C)less biased.
D)more economical.
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48
The purpose of the finite population correction factor for the standard error of the mean is to reflect the fact that the _______________ .
A)sampling error is lower for a finite population when compared to an infinite one
B)sampling error is higher for a finite population when compared to an infinite one
C)population standard deviation is higher for a finite population when compared to an infinite one
D)population standard deviation is lower for a finite population when compared to an infinite one
A)sampling error is lower for a finite population when compared to an infinite one
B)sampling error is higher for a finite population when compared to an infinite one
C)population standard deviation is higher for a finite population when compared to an infinite one
D)population standard deviation is lower for a finite population when compared to an infinite one
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49
According to the National Center for Health Statistics, 17% of adults between the ages of 45 and 64 had taken statin drugs in the prior 30 days to reduce cholesterol levels. A random sample of 120 adults from this age group was selected. What is the probability that between 24 and 27 from this sample had taken statin drugs during the last 30 days?
A)0.1373
B)0.3026
C)0.1892
D)0.4478
A)0.1373
B)0.3026
C)0.1892
D)0.4478
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50
Suppose the average math SAT score for students enrolled at Madison College is 507.3 with a standard deviation of 68.2. A random sample of 49 students has been selected. The standard error of the mean for this sample is ------------ .
A)10.4
B)7.1
C)38.4
D)68.2
A)10.4
B)7.1
C)38.4
D)68.2
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51
The No Child Left behind Act of 2001 (NCLB)established standards-based guidelines to determine the effectiveness of public schools. According to the Center on Education Policy, 45.5% of U.S. public schools failed to make adequate progress in a recent year as defined by NCLB. A random sample of 67 public schools was selected. The standard error of the proportion is -------.
A)0.0294
B)0.0487
C)0.0608
D)0.0322
A)0.0294
B)0.0487
C)0.0608
D)0.0322
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52
The Central Limit Theorem plays an important role in statistics because it provides information about the shape of the
A)sampling distribution when the sample size is sufficiently large.
B)sampling distribution for any sample size.
C)population distribution for any sample size.
D)population distribution when the sample size is sufficiently large.
A)sampling distribution when the sample size is sufficiently large.
B)sampling distribution for any sample size.
C)population distribution for any sample size.
D)population distribution when the sample size is sufficiently large.
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53
Soffritto Italian Grill served 220 dinners last Saturday night. The Chef's Special was ordered by 15% of the customers. A random sample of 50 customer orders from that evening was selected. What is the probability that between 8 and 12 of these orders were the Chef's Special?
A)0.3912
B)0.8267
C)0.7418
D)0.5210
A)0.3912
B)0.8267
C)0.7418
D)0.5210
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54
Recently, 18.3% of visitors to the Travelocity website hailed from the Google search engine. A random sample of 130 visitors on the Travelocity website was selected. The standard error of the proportion is _______________.
A)0.0466
B)0.0548
C)0.0206
D)0.0339
A)0.0466
B)0.0548
C)0.0206
D)0.0339
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55
The primary purpose of cluster sampling is to make the sampling process ---------.
A)more accurate
B)less biased
C)more convenient
D)more economical
A)more accurate
B)less biased
C)more convenient
D)more economical
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56
An NCAA study reported that the average salary of the 300 major college football coaches is $1.47 million. Using a random sample of 30 coaches and a population standard deviation of $300,000, what is the probability that the sample mean is between $1.4 million and $1.5 million per year?
A)0.7754
B)0.6829
C)0.9159
D)0.8660
A)0.7754
B)0.6829
C)0.9159
D)0.8660
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57
In ---------- sampling, we divide the population into mutually exclusive groups and randomly sample from each of these groups.
A)probability
B)simple random
C)stratified
D)cluster
A)probability
B)simple random
C)stratified
D)cluster
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58
Susan would like to conduct a survey of homeowners in the Meadowbrook neighborhood to get their opinions on proposed road modifications in the area. She would like to sample 50 homes using systematic sampling. There are a total of 200 homes in the Meadowbrook neighborhood. What value of k should Susan use?
A)4
B)200
C)10
D)50
A)4
B)200
C)10
D)50
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59
In ------ sampling, every kth member of the population is chosen for the sample.
A)probability
B)cluster
C)systematic
D)nonprobability
A)probability
B)cluster
C)systematic
D)nonprobability
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60
According to R.L. Polk & Co., the average age of cars and light trucks in the U.S. is 10.8 years. Assume that the standard deviation for this population is 3.7 years. A sample of 35 randomly selected vehicles was selected. What is the probability that the sample mean will be greater than 10 years?
A)0.8997
B)0.7812
C)0.9846
D)0.5469
A)0.8997
B)0.7812
C)0.9846
D)0.5469
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61
With the increased demand for Internet access, airlines have been investing in expanding service on their flights. Recently, 79% of Delta Air Lines' 727 planes were equipped with Wi-Fi A random sample of 200 planes from Delta's fleet was selected. What is the probability that 164 or fewer planes from this sample were equipped with Wi-Fi?
A)0.8508
B)0.7324
C)0.8888
D)0.6255
A)0.8508
B)0.7324
C)0.8888
D)0.6255
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62
According to the IRS, the average refund in the last tax year was $2.974. Assuming that the standard deviation for these refunds was $812, the standard error of the mean for a random sample of 60 tax returns is ____________ .
A)$141.38
B)$104.83
C)$127.10
D)$72.55
A)$141.38
B)$104.83
C)$127.10
D)$72.55
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63
According to Eurostat, 55.2% of households in Italy have one child, the highest percentage in the Euro zone. A random sample of 160 Italian households was selected. The standard error of the proportion is __________.
A)0.0393
B)0.0165
C)0.0454
D)0.0410
A)0.0393
B)0.0165
C)0.0454
D)0.0410
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64
Suppose there are 310 first-year lawyers in a particular metropolitan area with an average starting salary of $156,000 and a standard deviation of $13,000. What is the standard error of the mean for a random sample of 33 first-year lawyers?
A)$2,142.63
B)$4,512.26
C)$2,263.01
D)$3,145.44
A)$2,142.63
B)$4,512.26
C)$2,263.01
D)$3,145.44
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65
A recent study reported that 22% of adults in France admitted to texting or e- mailing while driving. A random sample of 110 French adults was randomly selected. What is the probability that 26 or more of these adults admitted to admitted to texting or e- mailing while driving?
A)0.2218
B)0.4030
C)0.3409
D)0.5748
A)0.2218
B)0.4030
C)0.3409
D)0.5748
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66
According to IDC, Apple's share of the smartphone market was 40% during a recent quarter. A random sample of 90 smartphone users was selected. The standard error of the proportion is __________ .
A)0.0337
B)0.0160
C)0.0517
D)0.1034
A)0.0337
B)0.0160
C)0.0517
D)0.1034
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67
Suppose the local Best Buy store averages 483 customers per day entering the facility with a standard deviation of 112 customers. A random sample of 48 business days was selected. What is the probability that the average number of customers in the sample is between 480 and 500?
A)0.2521
B)0.4284
C)0.1579
D)0.3377
A)0.2521
B)0.4284
C)0.1579
D)0.3377
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68
Susan would like to conduct a survey of homeowners in the Meadowbrook neighborhood to get their opinions on proposed road modifications in the area. Which of the following is an example of a convenience sample?
A)Susan selects every third house on each street in the neighborhood.
B)Susan randomly chooses two streets in the neighborhood and selects every home on these streets.
C)Susan selects the first 20 homes that she passes as she walks into the entrance of the neighborhood.
D)None of these choices describes a convenience sample.
A)Susan selects every third house on each street in the neighborhood.
B)Susan randomly chooses two streets in the neighborhood and selects every home on these streets.
C)Susan selects the first 20 homes that she passes as she walks into the entrance of the neighborhood.
D)None of these choices describes a convenience sample.
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69
A recent study reported that 18- to 24- year- olds averaged 192 restaurant visits per year. Assume that the standard deviation for number of visits per year for this age group is 56.5. To validate these findings, a random sample of forty 18- to 24- year- olds was selected and found to average 212 restaurant visits per year. Which of the following statements is correct?
A)The interval that contains 95% of the sample means is 174.5 and 209.5 visits. Because the sample mean is not between these two values, we do not have support for the results of the study.
B)The interval that contains 95% of the sample means is 170.3 and 213.7 visits. Because the sample mean is between these two values, we do not have support for the results of the study.
C)The interval that contains 95% of the sample means is 174.5 and 209.5 visits. Because the sample mean is not between these two values, we have support for the results of the study.
D)The interval that contains 95% of the sample means is 170.3 and 213.7 visits. Because the sample mean is between these two values, we have support for the results of the study.
A)The interval that contains 95% of the sample means is 174.5 and 209.5 visits. Because the sample mean is not between these two values, we do not have support for the results of the study.
B)The interval that contains 95% of the sample means is 170.3 and 213.7 visits. Because the sample mean is between these two values, we do not have support for the results of the study.
C)The interval that contains 95% of the sample means is 174.5 and 209.5 visits. Because the sample mean is not between these two values, we have support for the results of the study.
D)The interval that contains 95% of the sample means is 170.3 and 213.7 visits. Because the sample mean is between these two values, we have support for the results of the study.
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70
A _________ sample is used when members of the population are chosen to become part of the sample simply because they are easily accessible.
A)cluster
B)probability
C)convenience
D)stratified
A)cluster
B)probability
C)convenience
D)stratified
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71
Recently, FHA mortgages, which are insured by the federal government, accounted for 28% of all home- purchase mortgages that were approved. A random sample of 150 mortgage applications was selected. What is the probability that 48 or more from this sample were insured by the FHA?
A)0.2291
B)0.1379
C)0.3974
D)0.1915
A)0.2291
B)0.1379
C)0.3974
D)0.1915
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72
Taylor's Mill is a neighborhood comprised of 185 homes. According to the website Zillow, the average market value of the homes in this neighborhood is $418,300 with a standard deviation of $36,500. What is the standard error for a random sample of 32 homes from this neighborhood?
A)$7,510.35
B)$5,883.76
C)$4,153.87
D)$6,452.35
A)$7,510.35
B)$5,883.76
C)$4,153.87
D)$6,452.35
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73
ClearBags is an online company that sells packaging materials for photographers. Suppose their average order size is $208.19 with a standard deviation of $53.44. A random sample of 35 customer orders has been selected. The standard error of the mean for this sample is __________.
A)$9.03
B)$11.35
C)$7.30
D)$5.11
A)$9.03
B)$11.35
C)$7.30
D)$5.11
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74
The average weight of the entire batch of the boxes of cereal filled today was 20.15 ounces. A random sample of four boxes was selected with the following weights: 20.05, 20.56, 20.72, and 20.43. The sampling error for this sample is ____________ .
A)0.29
B)0.11
C)0.00
D)- 0.16
A)0.29
B)0.11
C)0.00
D)- 0.16
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75
According to Experian, the average FICO credit score for residents of El Paso, Texas, is 710. Suppose the standard deviation for this population is 46.1. A random sample of 60 El Paso residents has been selected. The standard error of the mean for this sample is __________.
A)1.96
B)8.44
C)3.28
D)5.95
A)1.96
B)8.44
C)3.28
D)5.95
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76
The sampling distribution of the proportion follows the normal distribution when the values np and nq are greater than or equal to __________.
A)50
B)20
C)30
D)5
A)50
B)20
C)30
D)5
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77
According to the Gallup Crime survey, 26% of gun owners are women. From a random sample of 160 gun owners, 26 were female. Which of the following statements is correct?
A)The interval that contains 95% of the sample proportions is 0.225 and 0.295. Because the sample proportion is between these two values, we have support that the proportion of gun owners who are female is 26%.
B)The interval that contains 95% of the sample proportions is 0.225 and 0.295. Because the sample proportion is not between these two values, we do not have support that the proportion of gun owners who are female is 26%.
C)The interval that contains 95% of the sample proportions is 0.192 and 0.328. Because the sample proportion is between these two values, we have support that the proportion of gun owners who are female is 26%.
D)The interval that contains 95% of the sample proportions is 0.192 and 0.328. Because the sample proportion is not between these two values, we do not have support that the proportion of gun owners who are female is 23.6%.
A)The interval that contains 95% of the sample proportions is 0.225 and 0.295. Because the sample proportion is between these two values, we have support that the proportion of gun owners who are female is 26%.
B)The interval that contains 95% of the sample proportions is 0.225 and 0.295. Because the sample proportion is not between these two values, we do not have support that the proportion of gun owners who are female is 26%.
C)The interval that contains 95% of the sample proportions is 0.192 and 0.328. Because the sample proportion is between these two values, we have support that the proportion of gun owners who are female is 26%.
D)The interval that contains 95% of the sample proportions is 0.192 and 0.328. Because the sample proportion is not between these two values, we do not have support that the proportion of gun owners who are female is 23.6%.
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78
According to Manhattan Research, 44% of physicians surveyed said they communicate with patients through e-mail. A random sample of 120 physicians was selected. What is the probability that 50 or more from this sample e-mail their patients?
A)0.6950
B)0.6042
C)0.4830
D)0.4168
A)0.6950
B)0.6042
C)0.4830
D)0.4168
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79
Susan would like to conduct a survey of homeowners in the Meadowbrook neighborhood to get their opinions on proposed road modifications in the area. Which of the following is an example of a cluster sample?
A)Susan selects every third house on each street in the neighborhood.
B)Susan selects the first 20 homes that she passes as she walks into the entrance of the neighborhood.
C)Susan randomly chooses two streets in the neighborhood and selects every home on these streets.
D)None of these choices describes a cluster sample.
A)Susan selects every third house on each street in the neighborhood.
B)Susan selects the first 20 homes that she passes as she walks into the entrance of the neighborhood.
C)Susan randomly chooses two streets in the neighborhood and selects every home on these streets.
D)None of these choices describes a cluster sample.
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80
The average battery life of the iPhone 4S is reported to be 7.0 hours. Assume that the standard deviation for the battery life for this cell phone is 45 minutes. A random sample of 38 iPhones had an average battery life of 6.5 hours. Which of the following statements is correct?
A)The interval that contains 95% of the sample means is 6.76 and 7.24 hours. Because the sample mean is not between these two values, we do not have support that the average battery life equals 7.0 hours.
B)The interval that contains 95% of the sample means is 6.76 and 7.24 hours. Because the sample
C)The interval that contains 95% of the sample means is 5.50 and 8.50 hours. Because the sample mean is between these two values, we have support that the average battery life equals 7.0 hours.
D)The interval that contains 95% of the sample means is 5.50 and 8.50 hours. Because the sample mean is between these two values, we do not have support that the average battery life equals 7.0 hours.
A)The interval that contains 95% of the sample means is 6.76 and 7.24 hours. Because the sample mean is not between these two values, we do not have support that the average battery life equals 7.0 hours.
B)The interval that contains 95% of the sample means is 6.76 and 7.24 hours. Because the sample
C)The interval that contains 95% of the sample means is 5.50 and 8.50 hours. Because the sample mean is between these two values, we have support that the average battery life equals 7.0 hours.
D)The interval that contains 95% of the sample means is 5.50 and 8.50 hours. Because the sample mean is between these two values, we do not have support that the average battery life equals 7.0 hours.
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