According to the Organization of Economic Cooperation and Development, South Koreans spend more hours per year on the job than people in any other developed country (The Wall Street Journal, March 1, 2010). Suppose 10 workers in South Korea and 10 workers in the United States are asked to report the number of hours worked in the last year. The results are shown in the accompanying table and also appear on the text website, labeled South Koreans.
a. Set up the hypotheses to test the claim that the median annual hours worked in South Korea are greater than the median annual hours worked in the United States.
b. Calculate the value of the test statistic W.
c. Assume that the distribution of w is approximately normal. With α = 0.05, is the claim supported by the data? Explain.