Suppose that we wish to test H0: = 40 versus Ha: 40, where a

Question:

Suppose that we wish to test H0: μ = 40 versus Ha: μ ≠ 40, where a is known to equal 18. Also, suppose that a sample of n = 81 measurements randomly selected from the population has a mean of = 35.
a. Calculate the value of the test statistic z.
b. By comparing z with a critical value, test H0 versus Ha at α = .05.
c. Calculate the p-value for testing H0 versus Ha.
d. Use the p-value to test H0 versus Ha at each of α = .10, .05, .01, and .001.
e. How much evidence is there that H0: μ = 40 is false and Ha: μ ≠ 40 is true?