The CEO of the company claims that the mean work day of the company’s engineers is less than 8.5 hours. A random sample of 35 of engineers has a mean work day of 8.2 hours with a standard deviation of 0.5 hours. You want to test the CEO’s claim at ???? = 0.01

a. Identify the claim and state the hypothesis

b. Find the critical value and identify the rejection region.

c. Find the standardized test statistic z. Sketch a graph.

d. Decide whether to reject the null hypothesis.

e. Interpret the decision in the context of the original claim.