A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey. Full Time Worker Part Time Worker Unemployed 8 9 9 6 6 8 7 8 10 8 9 10 7 7 9 7 9 9 8 7 7 Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01. H0: μ1=μ2=μ3H0: μ1=μ2=μ3 H1:H1: At least two of the means differ from each other. For this study, we should use              The test-statistic for this data =  (Please show your answer to 3 decimal places.) The p-value for this sample =  (Please show your answer to 4 decimal places.) The p-value is     αα  Base on this, we should      hypothesis As such, the final conclusion is that... There is sufficient evidence to support the claim that employment status is a factor in the amount of sleep people get. There is insufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.

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
Question

A researcher wants to know if there is a difference between the mean amount of sleep that people get for various types of employment status. The table below shows data that was collected from a survey.

Full Time Worker Part Time Worker Unemployed
8 9 9
6 6 8
7 8 10
8 9 10
7 7 9
7 9 9
8 7 7

Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.01α=0.01.

H0: μ1=μ2=μ3H0: μ1=μ2=μ3
H1:H1: At least two of the means differ from each other.

  1. For this study, we should use             
  2. The test-statistic for this data =  (Please show your answer to 3 decimal places.)
  3. The p-value for this sample =  (Please show your answer to 4 decimal places.)
  4. The p-value is     αα 
  5. Base on this, we should      hypothesis
  6. As such, the final conclusion is that...
    • There is sufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.
    • There is insufficient evidence to support the claim that employment status is a factor in the amount of sleep people get.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar 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