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Your friend claims that his commute time to work is different than his commute time returning home for the same day. Suppose that data were collected for a random set of 11 days, where each difference is calculated by subtracting the commute time to work from the commute time returning home. Assume that the populations are normally distributed. The test statistic is t ~ -1.788, α = 0.01 , the corresponding rejection regions are K-3. 169 and t 〉 3·169, the null hypothesis is Ho Ha0, and the alternative hypothesis is Ha: Hd + 0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the commute time to work and the commute time returning home is significantly not equal to zero? Select all that apply: Reject the null hypothesis that the true mean difference between the commute time to work and the commute time returning home is equal to zero. Fail to reject the null hypothesis that the true mean difference between the commute time to work and the commute time returning home is equal to zero. Based on the results of the hypothesis test, there is enough evidence at the α = 0.01 level of significance to support the claim that the true mean difference between your friend's commute times to work and commute times returning home on the same day is not equal to zero. Based on the results of the hypothesis test, there is not sufficient evidence at the α-0.01 level of significance to suggest that the true mean difference between your friend's commute times to work and commute times returning home on the same day is not equal to zero.

Your friend claims that his commute time to work is different than his commute time returning home for the same day. Suppose that data were collected for a random set of 11 days, where each difference is calculated by subtracting the commute time to work from the commute time returning home. Assume that the populations are normally distributed. The test statistic is t ~ -1.788, α = 0.01 , the corresponding rejection regions are K-3. 169 and t 〉 3·169, the null hypothesis is Ho Ha0, and the alternative hypothesis is Ha: Hd + 0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the commute time to work and the commute time returning home is significantly not equal to zero? Select all that apply: Reject the null hypothesis that the true mean difference between the commute time to work and the commute time returning home is equal to zero. Fail to reject the null hypothesis that the true mean difference between the commute time to work and the commute time returning home is equal to zero. Based on the results of the hypothesis test, there is enough evidence at the α = 0.01 level of significance to support the claim that the true mean difference between your friend's commute times to work and commute times returning home on the same day is not equal to zero. Based on the results of the hypothesis test, there is not sufficient evidence at the α-0.01 level of significance to suggest that the true mean difference between your friend's commute times to work and commute times returning home on the same day is not equal to zero.

MATLAB: An Introduction with Applications
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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Your friend claims that his commute time to work is different than his commute time returning home for the same day. Suppose that data were collected for a random set of 11 days, where each difference is calculated by subtracting the commute time to work from the commute time returning home. Assume that the populations are normally distributed. The test statistic is t ~ -1.788, α = 0.01 , the corresponding rejection regions are K-3. 169 and t 〉 3·169, the null hypothesis is Ho Ha0, and the alternative hypothesis is Ha: Hd + 0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the commute time to work and the commute time returning home is significantly not equal to zero? Select all that apply: Reject the null hypothesis that the true mean difference between the commute time to work and the commute time returning home is equal to zero. Fail to reject the null hypothesis that the true mean difference between the commute time to work and the commute time returning home is equal to zero. Based on the results of the hypothesis test, there is enough evidence at the α = 0.01 level of significance to support the claim that the true mean difference between your friend's commute times to work and commute times returning home on the same day is not equal to zero. Based on the results of the hypothesis test, there is not sufficient evidence at the α-0.01 level of significance to suggest that the true mean difference between your friend's commute times to work and commute times returning home on the same day is not equal to zero.
Transcribed Image Text:Your friend claims that his commute time to work is different than his commute time returning home for the same day. Suppose that data were collected for a random set of 11 days, where each difference is calculated by subtracting the commute time to work from the commute time returning home. Assume that the populations are normally distributed. The test statistic is t ~ -1.788, α = 0.01 , the corresponding rejection regions are K-3. 169 and t 〉 3·169, the null hypothesis is Ho Ha0, and the alternative hypothesis is Ha: Hd + 0. Which of the following statements are accurate for this hypothesis test in order to evaluate the claim that the true mean difference between the commute time to work and the commute time returning home is significantly not equal to zero? Select all that apply: Reject the null hypothesis that the true mean difference between the commute time to work and the commute time returning home is equal to zero. Fail to reject the null hypothesis that the true mean difference between the commute time to work and the commute time returning home is equal to zero. Based on the results of the hypothesis test, there is enough evidence at the α = 0.01 level of significance to support the claim that the true mean difference between your friend's commute times to work and commute times returning home on the same day is not equal to zero. Based on the results of the hypothesis test, there is not sufficient evidence at the α-0.01 level of significance to suggest that the true mean difference between your friend's commute times to work and commute times returning home on the same day is not equal to zero.
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