Given in the table are the BMI statistics for randomsamples of men and women. Assume that the twosamples are independent simple random samplesselected from normally distributed populations, anddo not assume that the population standarddeviations are equal. Complete parts (a) and (b)below. Use a 0.01 significance level for both parts.Male BMIFemale BMIul4327.5519In4324.65565.5129398.506336a. Test the claim that males and females havethe same mean body mass index (BMI).What are the null and alternative hypotheses?A. HO: μ1 + μ2H1: μ1 > μ2 C. HO : μ1 = μ2 H1: μ1 μ2H1: μ1< μ2 B. HO: μ1 μ2D. HO: μ1 μ2H1: μ1< μ2The test statistic, t, is(Round to two decimal places as needed.)The P-value is. (Round to threedecimal places asneeded.)State the conclusion for the test.A. Fail to reject the null hypothesis.There is sufficient evidence to warrantrejection of the claim that men and womenhave the same mean BMI.B. Fail to reject the null hypothesis. There isnot sufficient evidence to warrant rejection ofthe claim that men and women have the samemean BMI.C. Reject the null hypothesis. Thereis sufficient evidence to warrant rejection ofthe claim that men and women have the samemean BMI.D. Reject the null hypothesis. There isnot sufficient evidence to warrant rejection ofthe claim that men and women have the samemean BMI.b. Construct a confidence interval suitable fortesting the claim.< μ1- μ2 <.(Round to two decimal places as needed.)

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Answered: Given in the table are the BMI…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.01 significance level to test the claim that women and men have the same mean diastolic blood pressure. Women Men Women Men69.0 71.0 63.0 63.095.0 65.0 73.0 81.079.0 68.0 57.0 92.065.0 61.0 59.0 80.071.0 65.0 79.0 89.080.0 71.0 72.0 63.059.0 58.0 70.0 72.051.0 40.0 64.0 79.072.0 66.0 66.0 76.087.0 65.0 84.0 57.067.0 81.0 55.0 67.059.0 75.0 76.0 84.073.0 53.0 74.0 71.063.0 77.0 51.0 69.066.0 51.0 91.0 68.087.0 91.0 58.0 71.057.0 78.0 82.0 73.085.0 81.0 83.0 72.071.0 59.0 77.0 68.062.0 73.0 66.0 77.071.0 80.0 72.0 67.072.0 103.0 61.0 51.089.0 61.0 88.0 66.070.0 79.0 57.0 71.067.0 73.0 77.0 66.067.0 84.0 77.0 76.071.0 64.0 90.0 51.081.0 67.0 64.0 55.073.0 55.0 70.0 65.089.0 84.0 79.0 85.063.0 78.0 42.0 84.069.0 56.0 73.0 72.077.0 62.0 71.0 80.091.0 65.0 46.0…
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts Treatment Placebo μ μ1 μ2 n 28 32 x 2.35 2.61 s 0.95 0.66 What is the null and alternative hypotheses? The test statistic, t, is? The P-value is? Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. ?<μ1−μ2<?
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Cell Phone Lifetimes A recent study of the lifetimes of cell phones found the average is 23.2 months. The standard deviation is 3.1 months. If a company provides its 33 employees with a cell phone, find the probability that the mean lifetime of these phones will be less than 23.8 months. Assume cell phone life is a normally distributed variable, the sample is taken from a large population, and the correction factor can be ignored. Use a TI-83 Plus/TI-84 Plus calculator. Round your answer to at least four decimal places. P(X<23.8)=
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Data on the weights (Ib) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. Diet Regular H2 27 27 0.79037 lb 0.80399 lb 0.00449 lb 0.00756 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? O A. Ho: H1 = H2 OB. Ho: H1#H2 Hq: Hy
A study was done using a treatment group and a placebo group. The results are shown in the table. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.10 significance level for both parts the t value= (round to two decimal places as needed) the p value= (round three decimal places as needed) Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. ___<μ1−μ2<____ (Round to three decimal places as needed.)
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: Hy #4₂ OC, Hoi ky tuy H₁: Hy O L P H command n X S Time Remaining: 01:13:11 V : • Diet H₁ 30 0.79861 lb 0.00445 lb ; x { [ option ? I Regular H₂ 30 0.80936 lb 0.00742 lb Next delete
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