Question: Question 7

The mean length of a work week for the population of workers is reported to be 39.2 hours (Investor’s Business Daily, September 2002). Suppose that a sample of 112 workers in a particular district showed a sample mean of 38.5 hours and a sample standard deviation of 4.8 hours. Test the hypothesis: H₀: m = 39.2 and H₁: m ≠ 39.2 with a a = 0.05.

a) What are the critical values for the test statistic, and what is the rejection rule?

b) What is the value of the test statistic?

c) Can the null hypothesis be rejected? What is your conclusion?

d) What is the p–value?