The Weather Underground reported that the mean amount of summer rainfall for the northeastern US is at least 11.52 inches. Ten cities in the northeast are randomly selected and the mean rainfall amount is calculated to be 7.42 inches with a standard deviation of 1.3 inches. At the ? = 0.05 level, can it be concluded that the mean rainfall was below the reported average? What if ? = 0.01? Assume the amount of summer rainfall follows a normal distribution.

a. State the null and alternate hypothesis.

b. State the p-value.

c. State alpha.

d. What is the decision?

e. Formulate the conclusion.

f. Answer any other questions asked in the problem

Please find attached how I did this task. I am not sure whether I calculated the p-value right. I took the critical value from the t-table and substracted it from 1. Your help is appreciated. In case my procedure is wrong, please include a detailed step by step explanation.

BE INSUFFICELAY DA ENOUGH EVIDENCE MAY NOT BE PROVIDED TO DOUBT THE NULL HYPOTHESIS. THERE IS THE POSSIBILITY OF HAVING A THRE IT CANON PC TURE II ERROR) . PROBABILITY OF NOT REJECTING IS FALSE. THE NULL HYPOTHESIS WHEN THE AUN HYPOTHELLE 6) SINCE THE POPULATION STANDARD 14.52 DEVIATION IS UNKNOWN, WE USE THE CE 0.05 to - 9.932 OF= 10-49 + - TABLE: - 1.833 - 4.833 - 70833 -9. 943 = 0.04 + - TABLE:-2.821 1 - 2 .824 = - 4.821 = P - VALLLE -9 953 - 2.821. of DECISION: REJECT THE NUU HYPOTHESIS HO BECAUSE P - VAWILLE