Question

THIRD BLOCK SAMPLE TEST 27 7 through 9 refer to the following setup. One variable Questionsused to compare the physical attributes of female Olympic swimmers and runners ence of the upper arm, in centimetres, while relaxed. The following data from independent random samples are available: two lation Parameters Snuple Size Sauple Mean Sample Std. Dev. Swimmers Runners μι, σι 23.5cm 81 1.5cm 7. Assuming normally distributed populations with homogeneous variance, estimate the common variance using the pooled sample variance. whleeled of mmers true while relaxedof runners cireumterence of the upper arm, in cenhmaters, rs, voh r i =true circumference of the upper ar m,in c 8. Assuming normality, do these data provide substantial evidence that the true mean circum- ference of the upper arm is more than 2 em larger in swimmers than in runners? Compute (or bracket) the P-value for the appropriate test, and then interpret the result by stating at which levels of significance the null hypothesis should be rejected. (i) α = 0.01 (ii) α = 0.05 (iii) α = 0.10 Assuming normality, find the upper limit of a 99% confidence interval for μ1-

Answer 1