Answered: A researcher wants to know if there is…

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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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
6	6	10
6	7	10
7	6	8
5	9	8
8	8	10
7	8	9
6	7	7
	8	9

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
Ha:Ha: 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 4 decimal places.)
The p-value for this sample = (Please show your answer to 4 decimal places.)

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