As the population ages, there is increasing concern about accident-related injur

Question

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 Use the following R code to visualize the data, perform a t test and calculate the 95% CI #Data and R Code YF=c( 29, 34, 33, 27, 28, 32, 31, 34, 32, 25, 29, 37, 29, 34, 33, 27, 28, 32, 31, 34) OF c 25, 20, 21, 23, 22, 18, 14, 23, 17, 13, 21, 17) boxplot(YF, OF) t.test(YF, OF, alternative"greater") t.test(YF, OF)$conf.int Which of the following is true based on the side by side boxplot of the data? O The older females tend to have higher maximum lean angles than younger females The younger females tend to have higher maximum lean angles than older females The maximum lean angle is approximately the same for younger and older females. Does the data suggest that true average maximum lean angle for younger females (YF) is more than it is for older females (OF)? State and test the relevant hypotheses at significance level 0.05 by obtaining a P-value. (Use ?1 for younger females and ?2 for older females.) ? ??: X1-X2:0 Ha: x1 -x2 0 Ho: x1-x20 ??: x1-x2 > 0 Compute the test statistic value and find the P-value. (Round your test statistic to three decimal places and your P-value to four decimal places.) t 8.9519 P-value0.0075

Explanation / Answer

Answer

first, we need to find the degree of freedom

we have n1 = 20 and n2=12

degree of freedom = n1+n2 - 2 = 20+12 -2 = 32-2 = 30

we have calculated test statistic t = 8.9519 and degree of freedom = 30

Using student's t distribution table with t value = 8.9519 and degree of freedom =30 for one tailed test

we get p value = 0.0000 (rounded to 4 decimal places)

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