Question

A study was conducted to determine if taking a popularly advertised herbal supplement will result in weight loss in obese males. A random sample of clinically obese males was obtained. Each subject was weighed before taking the supplement and again after 60 days using the supplement. Subjects were told not to alter their diet in any way during the study period. The following table shows the observed results for the six subjects. Subject 1 3 4 5 IN Before (B) 164 172 186 166 174 178 After (A) 166 154 176 170 160 168 D=B-A -2 18 10 4 14 10 a.What are the appropriate hypotheses to use in this case to determine if the herbal supplement is effective in achieving weight loss in obese males? b. With a -0.05, according to the appropriate table, what values of the test statistic would cause the sample results to be declared statistically significant?

Answer 1

Provided information B: Before weight A: After weight D = B-A a) We want to test to test the herbal supplement is effective in achiev- ing weight loss in obe'se males '. The following null and alternative hypothesis need to be tested Ho: Md HA: Ud so i=1,2,... 6 b) a=0.05 D;= Bi-Ai n = 6 : Di= 46 B = [Di = 46 = 7.6667 6 SD = E(D;-D = 8.8015 n-1 '. Test statistic = D-Mo Sp = 7.6667-0 8.8015 Test statistic Lt) 2.134 critical value = tnt,0,05 = 2.015 Decision: Reject Ho, because t) 2.134 conclusion: The herbal supplement is effective

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