According to the U.S. Bureau of Labor Statistics, all workers in America who had a bachelor’s degree and were employed earned an average of $1038 a week in 2010. A recent sample of 400 American workers who have a bachelor’s degree showed that they earn an average of $1060 per week. Suppose that the population standard deviation of such earnings is $160.
a. Find the p-value for the test of hypothesis with the alternative hypothesis that the current mean weekly earning of American workers who have a bachelor’s degree is higher than $1038. Will you reject the null hypothesis at α = .025?
b. Test the hypothesis of part a using the critical-value approach and α = .025.