Industrial-organizational researchers anticipate that if employers allow their employees to work from home two days per week that it will increase productivity. To test their hypothesis, they collect a sample of n=144 employees who can work from home twice a week and measure their productivity. The sample mean for these employees was 79 with a standard deviation of 12. If the mean productivity in the general populations of employees is 77.5, is there enough evidence to support that employees that are allowed to work from home have significantly different productivity compared to population? To answer this, conduct a full hypothesis test using the one-sample t-test (alpha of α=0.01, two-tailed test), including a measure of effect size.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter13: Probability And Calculus
Section13.2: Expected Value And Variance Of Continuous Random Variables
Problem 10E
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Industrial-organizational researchers anticipate that if employers allow their employees to work from home two days per week that it will increase productivity. To test their hypothesis, they collect a sample of n=144 employees who can work from home twice a week and measure their productivity. The sample mean for these employees was 79 with a standard deviation of 12. If the mean productivity in the general populations of employees is 77.5, is there enough evidence to support that employees that are allowed to work from home have significantly different productivity compared to population? To answer this, conduct a full hypothesis test using the one-sample t-test (alpha of α=0.01, two-tailed test), including a measure of effect size.
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