Question

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

Answer 1

fa 2075 Data No toys given is: weight before torial (x) 85.2 79.5 15.8 weight also trial (8) 5 83. 781 trial (8) l o ja 7 1.4 de X-Y 17 (di-d2² 0.14 06 0, 0.4556 2 T3 2 0.2756 76.1 74.0 90-21 87.0 0.0006 1.6256 2.1 0.8 24 2:1 89.4 0.1056 0.0006 82-0 79.9 Bm Flourdo o = d m 0.8556 81.5 78.5 64.0 3.26 1.2656 67.2 1.0506 68.2 TO 67. 82 0.0156 3.7056 0.0306 64.6 0.9506 94 3.9156 di- 74 704 4 66.5 58.6 14 0.4556 94 92.4, 0.9506 16881288 0:2 Efli-ā) 3 14.4496. ma) we use paired it test to investigate the clain that deug affect the weight. Null hypothesis used here is, Ho: fld - " before after so against the alternative Hi: Mol to using 2= 0.01 parane parameter of interest is fol. di we found out. 5 di = 33.2 di 33-2, 4.4496 mindig

to SDCD the test statistic Under Ho is gwen by, conto = a which follows + distoi butina fint with (n-1) df. where da 12 Le sold)= 1 {\di- az a 1 Here a. lx 33.2 n a - 2.075 Sold)-. I xertak 17-4496 VO.9031 House 0.9503 .. to - 2.075 x 4 0.9503 8.341 - Reject the null hypothesis if tol ta,ni a teini - to. 1915 - 224467 (Fooms statistical table Reject Ho if Holy 2,95 (the sided) to = 8.73 Here Hol is greater ... Reject the null hypothesis it, the difference in means weight is not equal to o.

je., weight before toral and after total are not equal. Therefore the dang affects the weight (by 99% two sided confidence interval for the difference in weight, takes the formula, Hy el at the foren] Here, Mye (2015 + 2.9540.4503] My [90754 2.002] MAE C 2.45 3 0-7] Hd @[1395, 2.175] í > pohle [ 1136, 4.18] 2.075 + 2.95 x 0.9503 Vl6 difference .. we can be 99% confident that the true in weight lies between 1.38 and 2.48. cl., 1-38 < Md < 2.78.