Chapter 7.3, Problem 70E

To determine

To Explain: that the student is right or not and explains it.

Answer to Problem 70E

Yes, correct

Explanation of Solution

In central limit theorem if the sample size is greater than and equal to 30 then the sampling distribution of the sample mean will be approximately normal distribution with mean and standard deviation $\raisebox{1ex}{$\sigma $}\!\left/ \!\raisebox{-1ex}{$\sqrt{n}$}\right.$ . So as increasing the value of n, it is observed that the standard deviation of the sampling distribution decrease and the spread of the sampling distribution of the sample mean decreases.