I need help finding the t value and p value As the population ages, there is inc

Question

I need help finding the t value and p value

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 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 (67-81 years). The following observations are consistent with summary data given in the article YF: 29, 36, 33, 27, 28, 32, 31, 36, 32, 28 OF: 19, 14, 21, 13, 12 Does the data suggest that true average maximum lean angle for older females (OF) Is more than 10 degrees smaller than It Is for younger females (YF)? State and test the relevant hypotheses at significance level 0.10. (Use 1 for younger females and 2 for older females.) Hai 1-2 10 Calculate the test statistic and determine the P-value. Round your test statistic to two decimal places and your P-value to three decimal places.) t= 7.53 P-value.366

Explanation / Answer

For the given data Excel output is

Answer :

t = 2.64

p value = 0.017

t-Test: Two-Sample Assuming Unequal Variances Variable 1 Variable 2 Mean 31.2 15.8 Variance 10.4 15.7 Observations 10 5 Hypothesized Mean Difference 10 df 7 t Stat 2.641226 P(T<=t) one-tail 0.016682 t Critical one-tail 1.414924 P(T<=t) two-tail 0.033364 t Critical two-tail 1.894579

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