2) The CEO of the company claims that the mean work day of the engineers is less than 8.5 hours. A random sample of 35 of the company's mechanical engineers has a mean work day of 8.2 hours. Assume that the population standard deviation is 0.5 hour. You want to test the CEO's claim at a=0.01 a. Identify the claim and state the hypothesis. Determine whether the test is left-tailed, right-tailed, or two-tailed. b. Find the critical value and identify the rejection region. c. Find the standardized test statistic z. d. Decide whether to reject the null hypothesis. e. Interpret the decision in the context of the original claim