Machiavellian describes negative character traits that include manipulation cunning, duplicity, deception, and bad faith. A Machiavellian ("Mach") rating score was determined for each in a random sample of 122 purchasing managers, with the following results: x̅ = 99.6, s = 12.6. A director of purchasing at a major firm claims that the true mean Mach rating score of all purchasing managers is 85.
a. Suppose you want to test the director's claim. Specify the null and alternative hypothesis for the test.
b. Give the rejection region for the test using α = 0.10.
c. Find the value of the test statistic.
d. Use the result in (c) to make the appropriate conclusion.