# Week 6 Homework 1.pdf - APUS CLE MATH302 B001 Spr 20 Tests...

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A manager wishes to see if the time (in minutes) it takes for their workers to complete acertain task is faster if they are wearing earbuds. A random sample of 20 workers' times were collectedbefore and after wearing earbuds. Test the claim that the time to complete the task will be faster, i.e.meaning has production increased, at a significance level of α = 0.01For the context of this problem, μD= μbefore−μafterwhere the first data set represents before earbudsand the second data set represents the after earbuds. Assume the population is normally distributed. Thehypotheses are:H0: μD= 0H1: μD> 0You obtain the following sample data:BeforeAfter6862.372.561.639.321.467.760.438.347.985.978.667.375.159.848.372.165-...APUS CLE : MATH302 B001 Spr 20 : Tests & Quizzes1 of 175/16/2020, 6:32 PM
BeforeAfter798361.756.857.944.756.850.67163.480.668.959.833.973.17949.938.459.255.464.855.6Choose the correct decision, summary and state the p-value. Reject H0, there is enough evidence to support the claim that the time to complete the task hasdecreased when workers are allowed to wear earbuds at work and the p-value = .0024Do not reject H0, there is not enough evidence to support the claim that the time to complete thetask has decreased when workers are allowed to wear earbuds at work and the p-value = .0024.Do not reject H0, there is enough evidence to support the claim that the time to complete the taskhas decreased when workers are allowed to wear earbuds at work and the p-value = .0012APUS CLE : MATH302 B001 Spr 20 : Tests & Quizzes-...2 of 175/16/2020, 6:32 PM
APUS CLE : MATH302 B001 Spr 20 : Tests & Quizzes