Question: Suppose that we wish to test H0: = 40 versus Ha: 40, where the population standard deviation is known to equal 18.

Suppose that we wish to test H0: μ = 40 versus Ha: μ ≠ 40, where the population standard deviation is known to equal 18. Also, suppose that a sample of 81 measurements randomly selected from the population has a mean equal to 35.

a. Calculate the value of the test statistic z.

b. By comparing z with critical values, 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?

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