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 onestep-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, 35, 32, 27, 28, 32, 31, 34, 32, 25OF: 17, 16, 21, 13, 12USE SALTDoes 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 #₁for younger females and ₂ for older females.)| Ho: M₁ M₂ = 0Hai My - 1200 но: 1-2 = 10H₂H₁-H₂ < 10о но: 41-H2=0Ha My My>0| Hỏi Hì t2 = 10Ha: H1 - H2 > 10Calculate the test statistic and determine the P-value. (Round your test statistic to one decimal place and your P-value to three decimal places.)t =P-value =

YFOF281735163221271328123231343225Significance level State the hypotheses as follows:Null Hypothesis i.e., population variances of two groups are equal.Alternative Hypothesis i.e., population variances of two groups are not equal.This is a two-tailed test.Perform F-test using Excel.Enter the data values in Excel.Go to DATA > Data analysis.Select 'F-test: Two sample for variances'.Enter variable 1 range and variable 2 range.Select the output range.Set alpha as 0.10.Click ok.Excel output is shown below:The test statistic is 0.826.The p-value for two-tailed test is: .Since the p-value is greater than significance level, we fail to reject the null hypothesis.Therefore, we assume that population variances of two groups are equal.The relevant null and alternative hypotheses are:This is a right-tailed test. Because, the alternative hypothesis includes 'greater than' symbol.Perform two-sample t-test using Excel:Enter the data values in Excel.Go to DATA > Data analysis.Select 't-test: Two sample assuming equal variances'.Enter variable 1 range and variable 2 range.Enter hypothesized mean difference as 10.Select the output range.Set alpha as 0.10.Click ok.Excel output is shown below:From the output, the test statistic is 2.5 and the p-value is 0.013.Test statistic is P-value is