Average working hours per year. Present-day workers work 20 to 30 hours less every week than those in the 19th century. Among the member countries of the Organization for Economic Co-operation and Development (OECD), Germany’s average working hours per year are the lowest compared to others. Clockify.me reports that Germans work for an average of 1,354 hours per year. Assume that the standard deviation of such working hours is 1,026 hours per year. Consider a random sample of 324 Germans and let x represent the mean yearly working hours for the sample.

a. What is mx?

b. What is sx?

c. Describe the shape of the sampling distribution of x.

d. Find the z-score for the value x = 1,240.

e. Find P1x 7 1,2402.