Suppose that we wish to test H0: m = 20 versus Ha: m 20, where s is known to equal 7. Also, suppose that a sample of n = 49 measurements randomly selected from the population has a mean of x = 18.
a. Calculate the value of the test statistic z.
b. By comparing z with a critical value, test H0 versus Ha at a = .01.
c. Calculate the p-value for testing H0 versus Ha.
d. Use the p-value to test H0 versus Ha at each of a = .10, .05, .01, and .001.
e. How much evidence is there that H0: m = 20 is false and Ha: m 20 is true?