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.
Exercise : Players
The heights of four randomly and independently selected baseball players were found to be 196 cm, 198 cm, 193 cm, and 175 cm. Assume Normality.
a. Find a 95% confidence interval for the mean height of all players of the baseball team.
b. Does the interval capture 170 cm? Is there enough evidence to reject a mean height of 170 cm?