For the data of Exercise 29 find a 90% confidence interval for the ratio of population standard deviations, and relate your CI to the test of Exercise 74.

Data From Exercise 29

Data From Exercise 74

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As the population ages, there is increasing concern about accident-related injuries to the elderly. The article "Age and Gender Differences in Single-Step Recovery from a Forward Fall" (J. Gerontol A Biol. Sci. Med. Sci. 1999 54(1):M44-50) reported on an experiment in which the maximum lean angle the farthest a subject is able to lean and still recover in one step was deter- mined 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: Younger: 29, 34, 33, 27, 28, 32, 31, 34, 32, 27 Older: 18, 15, 23, 13, 12 Does the data suggest that true average maximum lean angle for older females is more than 10 degrees smaller than it is for younger females? State and test the relevant hypotheses at significance level. 10 by obtaining a P-value.