Question 1
Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. The mean and the standard deviation of the sampling distribution of the sample means are
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8.7 and 1.94
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36 and 1.94
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36 and 1.86
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36 and 8
Question 2
Random samples of size 17 are taken from a population that has 200 elements, a mean of 36, and a standard deviation of 8. Which of the following best describes the form of the sampling distribution of the sample mean for this situation?
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approximately normal because the sample size is small relative to the population size
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approximately normal because of the central limit theorem
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exactly normal
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None of these alternatives is correct.