To test H0 45 versus H1 45 a simple random sample of size n

To test H0: = 45 versus H1: 45, a simple random sample of size n = 40 is obtained.

(a) Does the population have to be normally distributed to test this hypothesis by using the methods presented in this section? Why?

No, because n> or equal to 40.

so population is not necessarily to be normally distributed to test this hypothesis.

Generally, the sampling distribution will be approximately normally distributed if any of the following conditions apply.