A manager wishes to see if the time (in minutes) it takes for the company workers to complete a certain task will increase when they are allowed to wear ear buds at work. A random sample of 8 workers' times were collected before and after wearing ear buds. Assume the data are normally distributed. Perform a Matched-Pairs hypothesis test for the Ho: pre and post means are equal vs. the Ha: that the time to complete the task has increased at a significance level of a = 0.01.
A manager wishes to see if the time (in minutes) it takes for the company workers to complete a certain task will increase when they are allowed to wear ear buds at work. A random sample of 8 workers' times were collected before and after wearing ear buds. Assume the data are normally distributed. Perform a Matched-Pairs hypothesis test for the Ho: pre and post means are equal vs. the Ha: that the time to complete the task has increased at a significance level of a = 0.01.
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:Question 6
A manager wishes to see if the time (in minutes) it takes for the company workers to complete a certain
task will increase when they are allowed to wear ear buds at work. A random sample of 8 workers' times
were collected before and after wearing ear buds. Assume the data are normally distributed.
Perform a Matched-Pairs hypothesis test for the Ho: pre and post means are equal vs. the Ha: that the time
to complete the task has increased at a significance level of a =
0.01.
Round answers to 4 decimal places.
For the context of this problem, µd =
Hlpost - lpre,
where the first data set represents "after" (post) and the second data set represents "before" (pre).
H.: µd
0 < Prl :"H
Here are the sample data:
After
Before
27.3
22
49.3
54.9
43.5
44.3
61
44.3
41.4
33.7
45.1
44.6
39.4
33.7
64.7
48.9
What is the mean difference for this sample?
Mean difference:
%3D
What is the significance level for this sample?
Significance level =
The P-value for this test is 0.0393. Enter this number in the answer box:
P-value
This P-value leads to a decision to... Select an answer
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