women (combining employment and at-home work). Suppose a study was done to determine if the average work week has increased. 77 women were surveyed with the following results. The sample avera Does it appear that the average work week has increased for women at the 5% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) Part (b) O Part (c) O Part (d) State the distrihution to use for the test (Enter vour anewer the form z or tawhere df is the degrees of freedom )
women (combining employment and at-home work). Suppose a study was done to determine if the average work week has increased. 77 women were surveyed with the following results. The sample avera Does it appear that the average work week has increased for women at the 5% level? Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) O Part (a) Part (b) O Part (c) O Part (d) State the distrihution to use for the test (Enter vour anewer the form z or tawhere df is the degrees of freedom )
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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
Transcribed Image Text:In 1955, Life Magazine reported that a 25-year-old mother of three worked (on average) an 80 hour week. Recently, many groups have been studying whether or not the women's movement has, in fact, resulted in an increase in the average work week for
women (combining employment and at-home work). Suppose a study was done to determine if the average work week has increased. 77 women were surveyed with the following results. The sample average was 83; the sample standard deviation was 1o.
Does it appear that the average work week has increased for women at the 5% level?
Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)
O Part (a)
O Part (b)
O Part (c)
O Part (d)
State the distribution to use for the test. (Enter your answer in the form z or tor where df is the degrees of freedom.)
A Part (e)
What is the test statistic? (Round your answer to two decimal places.)
---Select--- v =
O Part (f)
What is the p-value? (Round your answer to four decimal places.)
Explain what the p-value means for this problem.
O If H, is false, then there is a chance equal to the p-value that the average number of hours women work each week is not 83 hours or more.
If H, is false, then there is a chance equal to the p-value that the average number of hours women work each week is 83 hours. or more
O If H, is true, then there is a chance equal to the p-value that the average number of hours women work each week is not 83 hours or more.
O If H, is true, then there is a chance equal to the p-value that the average number of hours women work each week is 83 hours or more.
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