2. According to a recent survey, the average annual national expenditure for inpatient and outpatient care for all people over 64 was $5,423, with a standard deviation of $979. An arbitrary sample of 352 Sudbury residents over the age of 64 had average expenses of $5,516.
a) Can we conclude that the mean inpatient and outpatient expense of all Sudbury residents over age 64 is higher than the national average of $5,423? Use the .01 level of significance.
b) Calculate the P-value for this test. Would your answer have changed if you had used a .05 level of significance?