Question 1

When a population is small,it is necessary to include the ____________________ factor in our hypothesis tests and confidence interval estimators for p.

Accepted Answer

finite pop

Question 2

The test statistic for p is approximately normal when ____________________ and ____________________ are both greater than 5.

Accepted Answer

np; n(1 − p)
 n(1 −

Question 3

The 95% confidence interval would indicate that,for this shipment,the proportion of defective fuses is between 0 and 0.28.

Accepted Answer

A) True 
 B)False

Question 4

If we are testing for an improvement in the consistency of an operation or the manufacturing of a product,the alternative hypothesis would have a(n)____________________ sign in it.

Accepted Answer

The answer of If we are testing for an improvement...

Question 5

Healthy Foods
 In segmenting the frozen meal market in Spain,a food manufacturer uses health and diet consciousness as the segmentation variable.Four segments are developed and coded as follows: 1: Concerned about eating healthy foods 2: Concerned about weight 3: Concerned about health because of illness 4: Unconcerned To distinguish between groups,surveys are conducted.On the basis of a questionnaire,people are categorized as belonging to one of these groups.A recent survey asked a random sample of 1,500 Spanish adults (20 and over)to complete the survey.Out of the 1,500 people surveyed,360 indicated that they are concerned about eating healthy foods.The most recent information available reveals that there are 40,256,000 Spanish adults who are 20 and over. ​ ​
-{Healthy Foods Narrative} What is the parameter we wish to estimate? Explain.

Accepted Answer

Since the data are nominal,the

Question 6

Applicants' Grades 
The grades of a sample of 10 applicants,selected at random from a large population,are 71,86,75,63,92,70,81,59,80,and 90. ​ ​
-{Applicants' Grades Narrative} Construct a 90% confidence interval estimate for the population standard deviation.

Accepted Answer

LCL = @#IMG-DLM& = 8

Question 7

The formula   is used to find the sample size needed to estimate a population proportion.In this formula,B represents the ____________________ on the error of estimation.

Accepted Answer

The answer of The formula   is used to...

Question 8

When the population standard deviation is ____________________ and the population is normal,the test statistic for testing hypotheses about μ is the t-distribution with n − 1 degrees of freedom.

Accepted Answer

The answer of When the population standard deviation is ____________________...

Question 9

The t-distribution allows the calculation of confidence intervals for means for small samples when the population variance is not known,regardless of the shape of the distribution in the population.

Accepted Answer

A) True 
 B)False

Question 10

The air pumps at service stations come equipped with a gauge to regulate the air pressure of tires.A mechanic believes that the gauges are in error by at least 3 pounds per square inch.To test his belief he takes a random example of 50 air pump gauges and determines the difference between the true pressure (as measured by an accurate measuring device)and the pressure shown on the air pump gauge.The mean and the standard deviation of the sample are   = 3.4 and s = 1.2.Can the mechanic infer that he is correct at the 5% significance level? Assume tire pressures have a normal distribution.

Accepted Answer

H₀: μ = 3,H₁: μ > 3 Rejection r

Question 11

For a 99% confidence interval of the population mean based on a sample of n = 25 with s = 0.05,the critical value of t is:

Accepted Answer

A) 2.7969 
B) 2.7874 
C) 2.4922 
D) 2.4851 
A) 2.7969 
B) 2.7874 
C) 2.4922 
D) 2.4851

Question 12

During a natural gas shortage,a gas company randomly sampled residential gas meters in order to monitor daily gas consumption.On a particular day,a sample of 100 meters showed a sample mean of 250 cubic feet and a sample standard deviation of 50 cubic feet.Provide a 90% confidence interval estimate of the mean gas consumption for the population.

Accepted Answer

@#IMG-DLM& .Thus,LCL = 241.7,and UCL = 2

Question 13

To estimate ____________________ when the population size N is small,the confidence interval estimator is   .

Accepted Answer

the popula

Question 14

In market segmentation,if education is the segmentation variable of interest,then possible segments of the market include: some high school,high school graduates,some college,college or university graduates.

Accepted Answer

A) True 
 B)False

Question 15

In selecting the sample size to estimate the population proportion p,if we have no knowledge of even the approximate values of the sample proportion   ,we:

Accepted Answer

A) take another sample and estimate   . 
B) take two more samples and find the average of their   . 
C) let   = 0.50. 
D) let
 
= 0)95. 
A) take another sample and estimate   . 
B) take two more samples and find the average of their   . 
C) let   = 0.50. 
D) let
 
= 0)95.

Question 16

Energy Drink Consumption
 A researcher at the University of Washington medical school believes that energy drink consumption may increase heart rate.Suppose it is known that heart rate (in beats per minute)is normally distributed with an average of 70 bpm for adults.A random sample of 25 adults was selected and it was found that their average heartbeat was 73 bpm after energy drink consumption,with a standard deviation of 7 bpm. ​ ​
-{Energy Drink Consumption Narrative} Test the hypotheses in the previous question at the 10% significance level to determine if we can infer that energy drink consumption increases heart rate.

Accepted Answer

Rejection region: t > t_0.10,24 = 1.31

Question 17

When the population standard deviation is unknown and the population is ____________________,the test statistic for testing hypotheses about μ is the t-distribution with n − 1 degrees of freedom.

Accepted Answer

The answer of When the population standard deviation is unknown...

Question 18

The statistic s2 is an unbiased and consistent estimator of σ2.

Accepted Answer

A) True 
 B)False

Question 19

If the sampled population is nonnormal,the t-test of the population mean μ is still valid,provided that the condition is not extreme.

Accepted Answer

A) True 
 B)False

Question 20

If the lower and upper confidence limits of the population mean μ,using a sample of size 100,are 225 and 280,respectively,then the lower and upper confidence limits of the total of a population of size 3000 are respectively

Accepted Answer

A) 652,500 and 812,000 
B) 675,000 and 840,000 
C) 697,500 and 868,000 
D) 652,862 and 812,452 
A) 652,500 and 812,000 
B) 675,000 and 840,000 
C) 697,500 and 868,000 
D) 652,862 and 812,452

When a population is small,it is necessary to include the ____________________ factor in our hypothesis tests and confidence interval estimators for p.

The test statistic for p is approximately normal when and are both greater than 5.

The 95% confidence interval would indicate that,for this shipment,the proportion of defective fuses is between 0 and 0.28.

If we are testing for an improvement in the consistency of an operation or the manufacturing of a product,the alternative hypothesis would have a(n)____________________ sign in it.

Applicants' Grades The grades of a sample of 10 applicants,selected at random from a large population,are 71,86,75,63,92,70,81,59,80,and 90. -{Applicants' Grades Narrative} Construct a 90% confidence interval estimate for the population standard deviation.

The formula is used to find the sample size needed to estimate a population proportion.In this formula,B represents the ____________________ on the error of estimation.

When the population standard deviation is ____________________ and the population is normal,the test statistic for testing hypotheses about μ is the t-distribution with n − 1 degrees of freedom.

The t-distribution allows the calculation of confidence intervals for means for small samples when the population variance is not known,regardless of the shape of the distribution in the population.

For a 99% confidence interval of the population mean based on a sample of n = 25 with s = 0.05,the critical value of t is:

To estimate ____________________ when the population size N is small,the confidence interval estimator is .

In market segmentation,if education is the segmentation variable of interest,then possible segments of the market include: some high school,high school graduates,some college,college or university graduates.

In selecting the sample size to estimate the population proportion p,if we have no knowledge of even the approximate values of the sample proportion ,we:

When the population standard deviation is unknown and the population is ____________________,the test statistic for testing hypotheses about μ is the t-distribution with n − 1 degrees of freedom.

The statistic s² is an unbiased and consistent estimator of σ².

If the sampled population is nonnormal,the t-test of the population mean μ is still valid,provided that the condition is not extreme.

If the lower and upper confidence limits of the population mean μ,using a sample of size 100,are 225 and 280,respectively,then the lower and upper confidence limits of the total of a population of size 3000 are respectively

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

Exam 12: Inference About a Population

When a population is small,it is necessary to include the ____________________ factor in our hypothesis tests and confidence interval estimators for p.

The test statistic for p is approximately normal when ____________________ and ____________________ are both greater than 5.

The 95% confidence interval would indicate that,for this shipment,the proportion of defective fuses is between 0 and 0.28.

If we are testing for an improvement in the consistency of an operation or the manufacturing of a product,the alternative hypothesis would have a(n)____________________ sign in it.

Applicants' Grades The grades of a sample of 10 applicants,selected at random from a large population,are 71,86,75,63,92,70,81,59,80,and 90. ​ ​ -{Applicants' Grades Narrative} Construct a 90% confidence interval estimate for the population standard deviation.

The formula is used to find the sample size needed to estimate a population proportion.In this formula,B represents the ____________________ on the error of estimation.

When the population standard deviation is ____________________ and the population is normal,the test statistic for testing hypotheses about μ is the t-distribution with n − 1 degrees of freedom.

The t-distribution allows the calculation of confidence intervals for means for small samples when the population variance is not known,regardless of the shape of the distribution in the population.

For a 99% confidence interval of the population mean based on a sample of n = 25 with s = 0.05,the critical value of t is:

To estimate ____________________ when the population size N is small,the confidence interval estimator is .

In market segmentation,if education is the segmentation variable of interest,then possible segments of the market include: some high school,high school graduates,some college,college or university graduates.

In selecting the sample size to estimate the population proportion p,if we have no knowledge of even the approximate values of the sample proportion ,we:

When the population standard deviation is unknown and the population is ____________________,the test statistic for testing hypotheses about μ is the t-distribution with n − 1 degrees of freedom.

The statistic s2 is an unbiased and consistent estimator of σ2.

If the sampled population is nonnormal,the t-test of the population mean μ is still valid,provided that the condition is not extreme.

If the lower and upper confidence limits of the population mean μ,using a sample of size 100,are 225 and 280,respectively,then the lower and upper confidence limits of the total of a population of size 3000 are respectively

What Is Statistics

Graphical Descriptive Techniques 1

Graphical Descriptive Techniques 2

Numerical Descriptive Techniques

Data Collection and Sampling

Probability

Random Variables and Discrete Probability Distributions

Continuous Probability Distributions

Sampling Distributions

Introduction to Estimation

Introduction to Hypothesis Testing

Inference About Comparing Two Populations

Analysis of Variance

Chi-Squared Tests

Simple Linear Regression and Correlation

Multiple Regression

Model Building

Nonparametric Statistics

Time-Series Analytics and Forecasting

Statistical Process Control

Decision Analysis

Conclusion

Filters

The test statistic for p is approximately normal when and are both greater than 5.

Applicants' Grades The grades of a sample of 10 applicants,selected at random from a large population,are 71,86,75,63,92,70,81,59,80,and 90. -{Applicants' Grades Narrative} Construct a 90% confidence interval estimate for the population standard deviation.

The statistic s² is an unbiased and consistent estimator of σ².