You have independent random samples of data containing information on commute times measured in minutes, and marital status. In the dataset, 71 individuals live in the East and 59 individuals live in the West. The sample average commute time in the East is 28, and the sample variance is 36. In the East, 41 individuals are married The sample average commute time in the West is 30, and the sample variance is 49. In the West, 36 individuals are married. Use a 5% level of significance for all hypothesis tests. a. Test the hypothesis that there is a difference in mean commute times between those living in the East and those living in the West. Degrees of freedom = 118. B. Test the hypothesis that there is a difference in the proportion of people currently married between the East and the West.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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You have independent random samples of data containing information on commute times measured in minutes, and marital status. In the dataset, 71 individuals live in the East and 59 individuals live in the West.

The sample average commute time in the East is 28, and the sample variance is 36. In the East, 41 individuals are married

The sample average commute time in the West is 30, and the sample variance is 49. In the West, 36 individuals are married. Use a 5% level of significance for all hypothesis tests.

a. Test the hypothesis that there is a difference in mean commute times between those living in the East and those living in the West. Degrees of freedom = 118.

B. Test the hypothesis that there is a difference in the proportion of people currently married between the East and the West.

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