According to the Bureau of the Census, the mean annual income of government employees during a recent year was $14,632. There was some doubt that this
mean was representative of incomes of government employees living in the San Francisco Bay area during the same period. A random sample of 49 employees
has a sample mean of $15,415 and sample standard deviation of $1,827. Does the mean annual income in the Bay area differ significantly from the national
average, at 5% level of significance? Use the critical value method.
List the assumptions pertaining to this procedure.
Remember to show your steps (including all relevant information) and explicitly verify that all assumptions of the procedure are satisfied.