Question 2 4 pts You are interested in the weight gain of the Auburn Freshman. You think that the average weight gain of the Auburn Freshman student is not 15 pounds. You collect a random sample of measurements. The weight gains are (a negative value indicates a weight loss): 16, 15, 9, 10, 17, 13, 18, 9, 12, 14, 12, 15 You may assume for the following questions that the distribution of weight gain is normal. (a) State the appropriate hypothesis test. (This was done before collecting the data) Null Hypothesis: [Select ] Alternative Hypothesis: [ Select ] (b) Calculate the sample mean . I = [ Select ] (c) Calculate the sample standard deviation s. s = [ Select ] (d) Evaluate the test statistic T = 6/Vn' [ Select ] (e) The test statistic is t-distributed with [ Select ] degrees of freedom. (f) The p-value for the test is [ Select ] (g) Should you reject the null hypothesis in favor of the alternative at significance level a = 0.01? [Select ] (h) Is the weight gain significantly different from 15 lbs? [ Select ]