(c) Based on the P-value calculated in (b) would you reject the null hypothesis at any reasonable significance level? Explain your reasoning.O Fail to reject Ho. The data does not suggest that the difference in the true average heights exceeds 1.O Reject Ho. The data suggests that the difference in the true average heights exceeds 1.O Reject Ho. The data does not suggest that the difference in the true average heights exceeds 1.O Fail to reject Ho. The data suggests that the difference in the true average heights exceeds 1.(d) What hypotheses would be appropriate if μ₁ referred to the older age group, μ, to the younger age group, and you wanted to see if there was compelling evidence for concluding that the population mean height foryounger women exceeded that for older women by more than 1 in.?Ho: M₁ M₂ = −1Hai H₁ - H₂> -1O Ho: M₁ M₂ = 1На: М1 -H2> 1Ho: M₁M₂ = 1Ha: M₁ M₂ <1O Ho: M₁Hai HyM₂ = -1- Hz < -1 A report included the following information on the heights (in.) for non-Hispanic white females.Sample Sample Std. ErrorSizeMeanMean0.0986793963.662.10.11(a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use 20-39 - 60 and older')Age20-3960 and olderInterpret the interval.O We are 95% confident that the true average height of younger women is less than that of older women by an amount within the confidence interval.O We are 95% confident that the true average height of younger women is greater than that of older women by an amount within the confidence interval.O We are 95% confident that the true average height of younger women is greater than that of older women by an amount outside the confidence interval.We cannot draw a conclusion from the given information.(b) Let μ₁ denote the population mean height for those aged 20-39 and μ₂ denote the population mean height for those aged 60 and older. Interpret the hypotheses Ho: M₁ M₂ = 1 and H₂: μ₁ −µ₂ > 1.O The null hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is more than 1 inchhigher than for younger women.O The null hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is more than 1inch higher than for older women.O The null hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The alternative hypothesis states that the true mean height for older women is 1 inchhigher than for younger women.O The null hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The alternative hypothesis states that the true mean height for younger women is 1inch higher than for older women.Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)z =P-value =

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fidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for nterval. 5% confident that the true average height of younger women is less than that of older women by an amount within the confidence interval. 5% confident that the true average height of younger women is greater than that of older women by an amount within the confidence interval. 5% confident that the true average height of younger women is greater than that of older women by an amount outside the confidence interval. t draw a conclusion from the given information. the population mean height for those aged 20-39 and 4₂ denote the population mean height for those aged 60 and older. Interpret the hypothe hypothesis states that the true mean height for older women is 1 inch higher than for younger women. The alternative hypothesis states that the han for younger women. hypothesis states that the true mean height for younger women is 1 inch higher than for older women. The alternative hypothesis states that the ther than for older women. hypothesis states that the true mean height for older women is more than 1 inch higher than for younger women. The alternative hypothesis sta han for younger women. hypothesis states that the true mean height for younger women is more than 1 inch higher than for older women. The alternative hypothesis sta her than for older women. t of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decima

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...