(a) What are the null and alternative hypotheses, and level of significance, for this hypothesis test? (2 marks)(b) What is the distribution of the test statistic for this hypothesis test?(c) What is the decision rule for this hypothesis test?(d) What is the observed test statistic for this hypothesis test?(e) What is the correct conclusion for this hypothesis test?(f) After completing the hypothesis test, the researchers now decide to estimate ?D using a confidence interval. Assume the assumptions for the confidence interval for ?D are satisfied. Answer the following questions.(i) What is the 99% confidence interval for ?D?(ii) Choose the correct conclusion below regarding the 99% confidence interval calculated in part (i). (2 marks)There is sufficient evidence to suggest that the drug is effective in lowering fever since the lower endpoint of the interval in part (i) is greater than 0. There is insufficient evidence to suggest that the drug is effective in lowering fever since the value 0 lies inside the interval in part (i). There is insufficient evidence to suggest that the drug is effective in lowering fever since the value 0 lies outside the interval in part (i). There is sufficient evidence to suggest that the drug is effective in lowering fever since the upper endpoint of the interval in part (i) is less than 0.

A drug to reduce fever was given to a random sample of 7 patients who suffered from high fever. The temperature (in .C) of each patient was measured just before the drug was administered and also measured four hours after the drug was administered. The data is presented in the table below. Suppose we want to test, at the 5% level of significance whether the drug is effective in lowering fever. Let /1 denote the mean temperature of patients four hours after taking the drug and let U2 denote the mean temperature of patients before taking the drug. Also let HD = M1 - H2. Assume all the assumptions of this test are satisfied. Answer the following questions. Table Patient 2 3 4 5 6 7 Before 38.9 39.9 39.3 40.5 41.2 39.9 40.8 After 38.2 36.1 36.7 36.7 36.7 37.1 35.8