Chapter 9, Problem 39SE

Potatoes Use the data from exercise $9.35$.

a. If you use the four-step procedure with a two-sided alternative hypothesis, should you be able to reject the hypothesis that the population mean is 20 pounds using a significance level of $0.05$ ? Why or why not? The confidence interval is reported here: I am $95\%$ confident that the population mean is between $20.4$ and $21.7$ pounds.

b. Now test the hypothesis that the population mean is not 20 pounds using the four-step procedure. Use a significance level of $0.05$.

c. Choose one of the following conclusions:

i. We cannot reject a population mean of 20 pounds.

ii. We can reject a population mean of 20 pounds.

iii. The population mean is $21.05$ pounds.