[4/5 Points] DETAILS PREVIOUS ANSWERS MY NOTES ASK YOUR TEACHER We wish to determine if average run times are changing in the annual Cherry Blossom Run. In 2006, the average run time for this 10-mile event was 93.29 minutes (93 minutes and 17 seconds). The data file CherryBlossomRun2012 contains a random sample of run times in 2012. We wish to test the hypothesis that run times have changed. a) Which of the following is an appropriate set of hypotheses? O Ho: M 93.29; Ha: H = 93.29 O Ho: M = 93.29; Ha: H > 93.29 b) What is the average of the run times for our sample of 100 runners in 2012? Give your answer to two decimal places. X = 95.61 minutes c) Assume we have information that the standard deviation of all run times among runners of this race is 16 minutes. Find the resulting P-value. Give your answer to four decimal places. P = .1470 d) When carrying out the significance test at a level of significance a = 0.05, which of the following is a valid conclusion based on your P-value? We can conclude that =93.29, that is, we have strong evidence that the mean run time has not changed We can conclude that 93.29