3. Suppose that I collect data on the temperatures of a randomly selected sample of 15 students seeking Health Services. Here are the results: 95.3, 100.1, 99.9, 100.4, 102.3, 98.1, 103.7, 99.2, 101.2, 101.4, 100.5, 98.1, 101.9, 100.2, 103.1 These data are available on LATTE in an Excel spreadsheet. A. Create a 95% confidence interval for the (population) mean temperature of a student seeking Health Services. For simplicity, please ignore the finite population correction factor in your solution. B. If your null hypothesis is that students seeking Health Services have, on average, a normal temperature (Ho : M = 98.6) and your alternative hypothesis is that students seeking Health Services do not have, on average, a normal temperature (H1 : u * 98.6), and you're only willing to tolerate a = 5% probability of type I error, do you have sufficient evidence to reject your null? C. What is the relationship between the 95% confidence interval for u and testing a null hypothesis that Ho : M = Mo against an alternative hypothesis that H1 : / / Mo at the a = 5% level? Please provide a proof of your claim