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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.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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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
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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