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
icon
Related questions
Topic Video
Question
100%
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.
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.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman