In a pediatric clinic a study is carried out to see how effective aspirin is in reducing temperature. Twelve 5-year-old children suffering from influenza had their temperatures taken immediately before and 1 hour after administration of aspirin. The results are given below. Suppose we assume normality and want to test the hypothesis that aspirin is reducing the temperature. Body temperature (F) before and after taking aspirin Subject Before After Difference 1 102.4 99.6 2.8 2 103.2 100.1 3.1 3 101.9 100.2 1.7 4 103.0 101.1 1.9 101.2 99.8 1.4 6. 100.7 100.2 0.5 7 102.5 101.0 1.5 8. 103.1 100.1 3 9 102.8 100.7 2.1 10 102.3 101.1 1.2 11 101.9 101.3 0.6 12 101.4 100.2 1.2 Total 21 a. What are the null and alternative hypotheses in this situation? b. Test whether there is a difference between mean body temperature before and after taking aspirin. Provide the test statistic, degrees of freedom for the test statistic, the p-value and a full conclusion. c. Calculate a 95% temperature before and after taking aspirin. nfidence inter for the true mean difference in body