Random samples of size 17 are from a population that has 200 elements, a mean of 36, and a standard deviation of 8. which of the following best describes the from of the sampling distribution of the sample mean for this situation ?
Correct answer: D. None of these alternatives is correct
- A. Approximately normal because the sample size is small relative to the population size
- B. Approximately normal because of the central limit theorem
- C. Exactly
- D. None of these alternatives is correct
Explanation
With a sample size of only 17, the central limit theorem alone cannot ensure an approximately normal sample-mean distribution, because no population shape is specified. It is not necessarily exact normal, so none of the listed alternatives is correct.
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