The population of current statistics students has ages with

The population of current statistics students has ages with mean mu and standard deviation sigma.

Samples of statistics students are randomly selected so that there are exactly 45 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 meanages?

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

B.Because n greater than>30,the sampling distribution of the mean ages can be approximated by a normal distribution with mean mu and standard deviation StartFraction sigma Over StartRoot 45 EndRoot EndFraction45.

C.Because n greater than>30,the sampling distribution of the mean ages is precisely a normal distribution with mean

muand standard deviation StartFraction sigma Over StartRoot 45 EndRoot EndFraction45.

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

Solution

(B) is correct and self explanatory.