According the Organization for Economic Cooperation and Development (OECD), the weekly hours worked in manufacturing in the United States was 42 hours in 2017. A recent random sample of 60 manufacturing workers in the United States was selected, and it was found that they worked an average of 38.6 hours last week with a sample standard deviation of 10.4 hours.

a. Using α = 0.05, is there enough evidence from this sample to conclude that the average number of hours of manufacturing hours worked per week is different than 42 hours?

b. Determine the precise p-value for this test using Excel.