Answered: A researcher wants to know if the…

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 the clothes a woman wears is a factor in her GPA. The table below shows data that was collected from a survey.

Shorts	Dress	Jeans	Skirt
2.7	3.6	2.5	2
2.5	2.9	2.1	2.4
4	3.9	2.1	3.5
1.9	3.8	2.7	2.7
3.2	3.5	3.4	3.1
3.7	3.1	3.4	2.2
3.4	2.9	2.5	2.9
3.9	2.7	2.9	2.4
1.9	3.5	2.7	1.8

Assume that all distributions are normal, the four population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of α=0.05α=0.05.

H0: μ1=μ2=μ3=μ4H0: μ1=μ2=μ3=μ4
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 the clothes a woman wears is a factor in GPA.
- There is insufficient evidence to support the claim that the clothes a woman wears is a factor in GPA.

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