To estimate efficiency of a drug for weight loss, the clinical trial was performed. The results are presented in the table below. Patient number Weight before trial, kg Weight after trial, kg 83.5 85.2 78.1 79.5 75.8 73.2 76.1 91 89.4 82.0 81.5 67.2 68.2 70 74.0 66.5 74.0 90.2 87.0 79.9 78.5 64.0 65.1 67.8 70.0 64.6 58.6 92.9 60 94 15 16 88.2 88.0 LLLL LLL LLLLLLL -C.L. L.. HALL T ALLI. .ALI . TT

(a) Use the paired t-test to investigate the claim that the drug affects the weight. Test the null hypothesis Ho : Ha = Mbefore – Hafter = 0 against H: Ha 70 using a = 0.01. The parameter of interest is the difference in mean weight, Mole where d; =weight before – weight after. Ho Hd = 0 H:Ha 0 Round your answer to three decimal places (e.g. 98.765). Reject the null hypothesis if to > for a = 0.01. Find the test statistic. Round your answer to two decimal places (e.g. 98.76). to = (b) Construct a 99% two-sided confidence interval for the difference in weight. Round your answer to two decimal places (e.g. 98.76).