The population of current statistics students has ages with mean and standard de

Question

The population of current statistics students has ages with mean and standard deviation . Samples of statistics students are randomly selected so that there are exactly 48 students in each sample. For each sample, the mean age is computed. What does the central limit theorem tell us about the distribution of those mean ages?

A. Because n>30, the sampling distribution of the mean ages can be approximated by a normal distribution with mean and standard deviation.

B. Because n>30, the sampling distribution of the mean ages can be approxiamted by a normal distribution with mean and standard deviation /square root 48

C. Because n>30, the sampling distribution of the mean ages is precisely a normal distribution with mean and standard deviation /square root 48

D. Because n>30, the central limit theorem does not apply in this situation.

Explanation / Answer

Ans : B. Because n>30, the sampling distribution of the mean ages can be approxiamted by a normal distribution with mean and standard deviation /square root 48.

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