a) Set up Ho and Ha for determining whether sigma2R is less than sigma2H. Find the test statistic for the test.b) Give the rejection region (or P-value) for the test if α = 0.10.c) Make the appropriate conclusion in context of the problem.d) What conditions are required for the test results to be valid? 4. Luxury Limos offers limousine service from the city hall in Toronto, Ontario, to theToronto International Airport. The president of the company is considering two routes.One is via Highway 427 and the other via Avenue Road. She wants to study the time ittakes to drive to the airport using each route and then compare the results. She collectedthe following sample data, which is reported in minutes. Using the 0.10 significance level,is there a difference in the variation in the driving times using the two routes?Avenue Road 52 67 56 4556 45 70 54 64Highway 427 59 60 61 51 56 63 57 65Let ok and o represent the true variances in driving times for Avenue Road and Highway427, respectively.

Avenue Road Highway 52 59 67 60 56 61 45 51 70 56 54 63 64 57 65

a) Set up Ho and Ha for determining whether sigma2R is less than sigma2H. Find the test statistic for the test. b) Give the rejection region (or P-value) for the test if α = 0.10. c) Make the appropriate conclusion in context of the problem.

a) Set up Ho and Ha for determining whether sigma2R is less than sigma2H. Find the test statistic for the test. b) Give the rejection region (or P-value) for the test if α = 0.10. c) Make the appropriate conclusion in context of the problem.

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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12
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Test the claim that the proportion of men who own cats is smaller than the proportion of women who own cats at the .10 significance level. The null and alternative hypothesis would be: Но: дм — Мр Но: рм — МF Но: рм — Pr Но: рм — рF Но: им — МЕ Но: рм — РF PF Ho:HM = µf Ho:PM = Pf H1: µM + HF H1:µM PF H1:µM > µF H1:PM < PF The test is: left-tailed right-tailed two-tailed Based on a sample of 60 men, 35% owned cats Based on a sample of 40 women, 55% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis
2:13 Making conclusions in a z test for a pr... A public opinion survey investigated whether a majority (more than 50%) of adults supported a tax increase to help fund the local school system. A random sample of 200 adults showed that 113 of those sampled supported the tax increase. 5G 204 Researchers used these results to test Ho: p = 0.5 versus Ha: p > 0.5, where p is the true proportion of adults that support the tax increase. They calculated a test statistic of z≈ 1.84 and a corresponding P- value of approximately 0.033. Assuming the conditions for inference were met, which of these is an appropriate conclusion? Choose 1 answer: A At the a = 0.01 significance level, they Stuck? Use a hint. SC Check
Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.02 significance level. The null and alternative hypothesis would be: Но: HF Ho: UM = µF Ho:PM — pF Ho:рм PF Ho: им — MF Ho:; PF Нi: рм > иF Hi: рм # pF Hi:рм рF Hi: рм < pF Hi:рм # pғ The test is: right-tailed two-tailed left-tailed Based on a sample of 80 men, 25% owned cats Based on a sample of 40 women, 50% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 2 decimals) Based on this we: O Reject the null hypothesis O Fail to reject the null hypothesis
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12: One researcher estimated that smoking reduces the sense of smell. The mean of the odor test for non-smokers is μ=18.4. The following scores were obtained by giving the same odor test to an unbiased sample of a cigarette smokers: 16 14 19 17 16 17 15 18 19 12 14 18 a) Please set up the Ho and Ha hypotheses.