Chapter 10.2, Problem 10.38E

To determine

To Explain: that the changing the sample size and idealized curve for the sampling distribution changes with it and describe the happening.

Explanation of Solution

Graph:

  

As the sample size increases, the sampling distribution of the sample mean looks to become narrower, which indicates less variability. As the sample size $n$ increases, the peak at the mean $\mu$ (in the graph above $\mu =0$ ) becomes higher and higher and the graph above shows the normal distribution with mean $\mu =0$ and standard deviation $\frac{\sigma }{\sqrt{n}}=\frac{1}{\sqrt{n}}$ when $n=1,25,100$