A student claims that statistics students at her school spend, on average, an hour doing statistics homework each night. In an attempt to substantiate this claim, she selects a random sample of 6 of the 62 students who are taking statistics currently and asks them how much time they spend completing statistics homework each night. Here are the data (in hours): 0.75, 0.75, 0.75, 0.5, 1, 1.25. She would like to know if the data provide convincing statistical evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour. What are the appropriate hypotheses?H0: μ = 1 versus Ha: μ < 1, where μ = the mean amount of time that the selected students spend doing statistics homework each nightH0: μ = 1 versus Ha: μ > 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each nightH0: μ = 1 versus Ha: μ < 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each nightH0: μ = 1 versus Ha: μ > 1, where μ = the true mean amount of time that the selected students spend doing statistics homework each night An engineer would like to design a parking garage in the most cost-effective manner. He reads that the averageheight of pickup trucks, which is the largest type of vehicle that should be expected to fit into the parking garage,is 76.4 inches. To double-check this figure, the engineer employs a statistician. The statistician selects a randomsample of 100 trucks and finds the mean height of the sample to be 77.1 inches with a standard deviation of 5.2inches. The statistician will determine if these data provide convincing evidence that the true mean height of alltrucks is greater than 76.4 inches. The statistician plans to test the hypotheses, Ho: µ = 76.4 versus H₂: µ > 76.4,where μ = the true mean height of all trucks. The conditions for inference are met. The test statistic is t = 1.35 andthe P-value is between 0.05 and 0.10. What conclusion should be made at the significance level, x = 0.05?Reject Ho. There is convincing evidence that the true mean height of all trucks is greater than 76.4 inches.Reject Ho. There is not convincing evidence that the true mean height of all trucks is greater than 76.4 inches.Fail to reject Ho. There is convincing evidence that the true mean height of all trucks is greater than 76.4 inches.O Fail to reject Ho. There is not convincing evidence that the true mean height of all trucks is greater than 76.4inches.Ο Ο Ο

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Answered: A student claims that statistics…

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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A student claims that statistics students at her school spend, on average, an hour doing statistics homework each night. In an attempt to substantiate this claim, she selects a random sample of 6 of the 62 students who are taking statistics currently and asks them how much time they spend completing statistics homework each night. Here are the data (in hours): 0.75, 0.75, 0.75, 0.5, 1, 1.25. She would like to know if the data provide convincing statistical evidence that the true mean amount of time that statistics students spend doing statistics homework each night is less than one hour. What are the appropriate hypotheses?

H₀: μ = 1 versus H_a: μ < 1, where μ = the mean amount of time that the selected students spend doing statistics homework each night

H₀: μ = 1 versus H_a: μ > 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each night

H₀: μ = 1 versus H_a: μ < 1, where μ = the true mean amount of time that statistics students spend doing statistics homework each night

H₀: μ = 1 versus H_a: μ > 1, where μ = the true mean amount of time that the selected students spend doing statistics homework each night