Question

As the population ages, there is increasing concern about accident-related injuries to the elderly. An artide reported on an experiment in which the mandmum lean angle the farthest a subject is able to lean and still recover in one step-was determined for both a sample of younger females (21-29 years) and a sample of older females (67-1 years). The following observations are consistent with summary data given in the artide: YF: 29, 36, 33, 27, 28, 32, 31, 34, 32, 25 OF: 18, 15, 23, 13, 12 Does the data suggest that true average mandmum bean angle for older females (or) is more than 10 degrees smaller than it is for younger females ()State and test the relevant hypotheses at significance level 0.10 (Use for younger females and for older females.) O Ho! Hi - 10 HF. - P <10 O Mo! - 2 - 0 • Mo: 1 - 2 - 10 Mi-2 > 10 O MM - - H1-H2O Calculate the test statistic and determine the value (Round your test statistic to two decimal places and your A value to three decimal places.) P value - 0001 State the conclusion in the problem context. • Reject Mo The data suggests that true werage lean angle for older females is more than 10 degrees smaller than that of younger females. Fal to reject Ho. The data suggests that true average lean angle for older females is more than 10 degrees smaller than that of younger females. Fotorele Theater

Answer 1

solution The nou and alternative hypothesion ave Ho: Ha ! U-elly =10 M, -, >10 for YF : ne - 10 F, = [xln = 307 30760 - 30.7 S = 3.401 OF ; - 5 ng &= Exln = 8ils - 16, L Ş: 4.438 20.10 → Rest statistic ta (x-x) - (-) S2 + 5 2 2 ( 30.7-16.2) - 10 ne 2. 25740 3.4012 10 + 4.438 5 t 1.99 d: 0.10 p-value level significance Degree of freedom of (sh 2 + 5 ) 2 *) on (nje n-

25, 9677 0.14866 + 3.8793 25.9677 4.62796 De 6.45 ~ 6 is tailed test ri This Right als Then p-value 0.047 since pralucis less than significance reject noll hypothesis to level [cout 0.007 20.10 SO we option A i Conect