Question

5. A medical researcher wishes to see whether the variance of the heart rates (in beats per minute) of smokers is different from the variance of heart rates of people who do not smoke. Below is the data from two samples. Using a = 0.05, is there enough evidence to support the claim? (10 points) Smokers Non-Smokers n1 = 26 S12 = 32 n2= 18 s22 = 10

Answer 1

Given! smokers n =26 5,2=32 Non-smokers 72 =18 5²=10 2 be the population variance of smokeor 62² be the population Varance of Non smokers. typothesis. Hoi 62=62² Vst,- 62 & 622 test statistic! F=5,2 S2² 32 F = 3.2 critical value - at x=0.05 Fn, 1 02-1 a 12 F267, 18-1,0.05 = F25, 17, 0.025 = 2.5484 G from f-table, onetailed af df2=17) En 1, D2-1 & 12 2.5484 1225

decision! cal E critical f, then Reject Ho otherwise do not reject Ho 3-2 7 2.5484 je cal Fy critical f, then Reject Ho conclusion' Reject Ho. Then there is sufficient evidence to conclude that the variance of the heart rater in beets per minute) of smokers is different from the variance of heart rates of people who do not smoke