Question

A study is being conducted to determine whether a particular exercise program is effective at reducing the mean blood cholesterol level on males between the ages of 35 and 50. Six subjects participated in the program, and their cholesterol levels before and after the program are as follows. Blood Cholesterol Level Subject Before After 265 229 2 240 231 3 258 227 4 295 240 5 251 238 6 225 226 Using this data, we wish to test the following hypothesis using a level of significance of 0.05, where My denotes the mean blood cholesterol level before the program, and uz denotes the mean blood cholesterol level after the program. H:H1 - H2 = 0 H:M1 - Mz > 0 answer questions a through e assuming that you have chosen to use a paired t-test.

Answer 1

A study is being condutled to determine Wheathen a particular excercise pologram is effective al- eueducing the mean Cholesterol level on males. m=6 subjedl- participated in the prognan From the given data we have to find di-clifference (Deforce - Aften) then mean difference ca) and standard deviation of difference Sol. The data is given as follows subject-| Before After - وہ 229 265 36 2 240 258 231 227 31 دیا 55 295 240 13 257 5 6 238 226 el 225 143 W Ġ Mean of difference (7) - { di x 143 6 - 23083

standau deviation (sa) © Eldi-d) 6-1 5 {(36-23.8397 169-23.83) 7..-+61-238 - 20.61 Here owl mull and alternative hypothesis are ج Ho: Mo-M2=0 Hii Mi-Mado Cleasily, this is right tail test. We should have to use a paired-t test here. The formula for test statistic is- t 2 d Sed N 2 23.83 ER.83 20.61 16 Since, this is a sigut tail testy We should reject- our null hypothesis it toosenved > t&, (1-1) here, significance level & 20.05 and degrees of freedom (n-1)-5 t

Be thee teruitical value is, tooos, 5 2.015 Since t observed a 2.83 » t«, 81-1) = 2.015 So, we should prejud- our null duypothesis and conclude thal-, a particular excercise program is effective at greducing the mean blood cholesterol level.