a) Carry out a t-test using five steps of hypothesis testing with the 0.05 level of significance at one-tailed. Explain your finding. b) Sketch the t-distribution involved.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 25PPS
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During the pandemic, an HR manager randomly assigned 6 employees to work from home
and the other 6 employees to work from the office as usual. After three months, all 12
employees’ job performance was tested. Scores for those working from home were 10, 12,
14, 13, 11, 12, and scores for those who worked from the office were 8, 6, 10, 8, 9, and 7.
The HR manager then compares the scores from both groups to determine which group
scores significantly higher.
Based on the experiment above,
a) Carry out a t-test using five steps of hypothesis testing with the 0.05 level of
significance at one-tailed. Explain your finding.

b) Sketch the t-distribution involved.

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