As the population ages, there is increasing concern about accident-related injuries to the elderly. An article reported on an experiment in which the maximum lean angle-the furthest 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 (67-81 years). The following observations are consistent with summary data given in the article:
YF: 28 36 33 27 28 32 31 35 32 29
OF: 19 15 22 13 12
(a) Carry out a test at significance level 0.10 to see whether the population standard deviations for the two age groups are different.