Problem 3 (3 points) The mean water temperature downstream from a power plant cooling tower discharge pipe should be no more than 100°F. Past experience has indicated that the standard deviation of temperature is 2°F. The water temperature is measured on nine randomly chosen days, and the average temperature is found to be 98°F. a) Should the water temperature be judged acceptable with α = 0.05 based on the measured days? (use <100), what is your decision threshold on the measured temperature the alternative hypothesis: average? (2 points) b) What is the P-value for this test? (1 points)