The wage gap between men and women continues to play a role in the United States' economy. It has been cited that on average, women work fewer hours in a week than men, perhaps due to parenthood and traditional gender roles. A random sample of 8 men and 8 women was taken and the number of hours they work in a week was recorded. The data are shown below. Assume that the number of hours worked in a week are normally distributed. At a significance level of 1%, do these data provide sufficient evidence to infer that women work less than men? Men 39.0 48.8 52.2 36.9 33.7 46.7 40.9 31.6 Men The following summary statistics may be helpful for your test: Variable N Mean StDev 41.22 5 Women Men- Women 38.7 36.6 37.4 46.2 42.4 28.3 37.4 41.3 O2.139 O 0.840 O 1.188 Women 8 8 7.376 38.53 8 8 2.688 11.447 5.243 What is the value of the test statistic? Round your answer to 3 decimal places. O 0.664
The wage gap between men and women continues to play a role in the United States' economy. It has been cited that on average, women work fewer hours in a week than men, perhaps due to parenthood and traditional gender roles. A random sample of 8 men and 8 women was taken and the number of hours they work in a week was recorded. The data are shown below. Assume that the number of hours worked in a week are normally distributed. At a significance level of 1%, do these data provide sufficient evidence to infer that women work less than men? Men 39.0 48.8 52.2 36.9 33.7 46.7 40.9 31.6 Men The following summary statistics may be helpful for your test: Variable N Mean StDev 41.22 5 Women Men- Women 38.7 36.6 37.4 46.2 42.4 28.3 37.4 41.3 O2.139 O 0.840 O 1.188 Women 8 8 7.376 38.53 8 8 2.688 11.447 5.243 What is the value of the test statistic? Round your answer to 3 decimal places. O 0.664
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question

Transcribed Image Text:The wage gap between men and women continues to play a role in the United States' economy. It has been cited that on average, women work fewer hours in a week
than men, perhaps due to parenthood and traditional gender roles. A random sample of 8 men and 8 women was taken and the number of hours they work in a week
was recorded. The data are shown below. Assume that the number of hours worked in a week are normally distributed. At a significance level of 1%, do these data
provide sufficient evidence to infer that women work less than men?
Men
Women
39.0
38.7
48.8
36.6
52.2
37.4
fr
36.9
46.2
33.7
42.4
46.7
28.3
40.9
37.4
31.6
41.3
The following summary statistics may be helpful for your test:
Variable N Mean
StDev
41.22
5
Men
Women
Men-
Women
8
38.53
8
7.376
5.243
8 2.688 11.447
What is the value of the test statistic? Round your answer to 3 decimal places.
0.664
2.139
0.840
1.188
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