Suppose that we wish to test H0: = 80 versus Ha: > 80, where

Question:

Suppose that we wish to test H0: μ = 80 versus Ha: μ > 80, where σ is known to equal 20. Also, suppose that a sample of n = 100 measurements randomly selected from the population has a mean of = 85.
a. Calculate the value of the test statistic z.
b. By comparing - 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 = 80 is false and Ha: μ > 80 is true?