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 1 265 229 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 y, denotes the mean blood cholesterol level before the program, and uz denotes the mean blood cholesterol level after the program. H:41 - H2 = 0 H:M1 - U2 > 0 Answer questions a through e assuming that you have chosen to use a paired t-test.

Answer 1

DATE Alternative hypotheses 17,2 mi-dry to a=0.05 solution step, null hypothesis Ho? step 2 Step3 Level of significance steru calculations y a-ł 7-9 x-x 2 yy? २२१ 8.84 -2.83 78.14 8:00 240 231 -16.16 -0.83 1184 -4.83 23.32 41.84 8:17 1750.58 66.74 238 -5.16 6.17 3 f.of -31116 -5.83 970.94 33.98 1537 1391 3090 80 ) 7078 0.68 227 & 40 2614 3.3856 26.62 n = {x = 153725616 Joe t = niab n2=6 - 1391231.83 6 3² - 1 2 [ { (z. 2) + s (1 253 2] to [3090.80+ 17078] to [ 3261.58 ] = 326.158 step5 The test statistics x-5 - 256.16-23):82 rs ²21 222 22) 2.33 Degree of freedon nith22 = 676-2=10 Table valet for 10 at 50% level of significance ý 2.23 Sisle calculate tvalue> so we reject ie Accepted 1326.156 16+ table Nill hypothery Ho Hi M, -uto 1 classmate