For Exercises 9–16, the characteristics of a normal distribution are given, along with a sample size for random samples taken from this distribution. Do the following:
State the value of the mean of the sampling distribution of , that is, .
Calculate the value of the standard error of the sampling distribution of , that is, .
Draw a graph of the distribution curve of , similar to the orange curve in Figure 2 on page 398. On the number line, indicate and .
Draw a graph of the distribution curve for the sampling distribution of , similar to the green curve in Figure 2 on page 398. On the number line, indicate , and . Note how both graphs are centered at the population mean, but also note that the variability of the sampling distribution of is less than that of the original distribution of .