A survey taken several years ago found that the average time a person spent reading the local daily newspaper was 10.8 minutes. The standard deviation of the population was 3 minutes. To see whether the average time had changed since the newspaper's format was revised, the newspaper editor surveyed 36 individuals. The average time that the 36 people spent reading the paper was 12.2 minutes. (a) (10 pts.) At LaTeX: \alpha=0.02α = 0.02, is there a change in the average time an individual spends reading the newspapers? Test by using confidence interval for the mean. Round confidence interval to nearest thousandth. Show step1-step3. (b). (4 pts.) Do the results agree? Explain why.