Exam 7: Sampling and Sampling Distributions

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Which of the following sampling methods will more likely be susceptible to ethical violation?

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Sampling error can be reduced by taking larger sample sizes.

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A sample of 300 subscribers to a particular magazine is selected from a population frame of 9,000 subscribers. If, upon examining the data, it is determined that no subscriber had been selected in the sample more than once,

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Sampling error can be completely eliminated by taking larger sample sizes.

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The standard error of the mean is also known as the standard deviation of the sampling distribution of the sample mean.

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A manufacturer of power tools claims that the average amount of time required to assemble their top-of-the-line table saw is 80 minutes with a standard deviation of 40 minutes. Suppose a random sample of 64 purchasers of this table saw is taken. The probability that the sample mean will be between 77 and 89 minutes is ________.

(Short Answer)
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Suppose μ = 50 and σ2 = 100 for a population. In a sample where n = 100 is randomly taken, 90% of all possible sample means will fall between 49 and 51.

(True/False)
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TABLE 7-4 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected. -Referring to Table 7-4, what is the probability that a random sample of 50 will have at least 30% of customers who will make a purchase after visiting the web site?

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A telemarketer set the company's computerized dialing system to contact every 25th person listed in the local telephone directory. What sampling method was used?

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To estimate the average number of hours a student at a major university spent in the library, a researcher obtained the list of students from the registrar's office, from which she can draw a random sample 200 students. This list is a ________.

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Which of the following is true regarding the sampling distribution of the mean for a large sample size?

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The sample proportion is an unbiased estimate of the population proportion.

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Selection bias occurs more frequently in systematic samples than in simple random samples.

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The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The sampling distribution of the sample mean has a standard error of 0.15.

(True/False)
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As the size of the sample is increased, the standard deviation of the sampling distribution of the sample mean for a normally distributed population will stay the same.

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The question "Is your household income last year somewhere in between $25,000 and $35,000?" will most likely result in coverage error.

(True/False)
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The average score of all pro golfers for a particular course has a mean of 70 and a standard deviation of 3.0. Suppose 36 golfers played the course today. Find the probability that the average score of the 36 golfers exceeded 71.

(Short Answer)
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The amount of bleach a machine pours into bottles has a mean of 36 oz. with a standard deviation of 0.15 oz. Suppose we take a random sample of 36 bottles filled by this machine. The sampling distribution of the sample mean has a mean of 36 oz.

(True/False)
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TABLE 7-4 According to a survey, only 15% of customers who visited the web site of a major retail store made a purchase. Random samples of size 50 are selected. -Referring to Table 7-4, 90% of the samples will have less than what percentage of customers who will make a purchase after visiting the web site?

(Short Answer)
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For a population frame containing N = 1,007 individuals, what code number should you assign to the first person on the list in order to use a table of random numbers?

(Multiple Choice)
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