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A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task is faster if they are

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A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task is faster if they are wearing earbuds. A random sample of 20 workers' times 0.01 were collected before and after wearing carbuds. Test the claim that the time to complete the task will be faster, i.a. meaning has production increased, at a significance level of a = For the context of this problem, Up = Prese: Tham where the first data set represents before earbuds and the second data set represents the after carbuds. Assame the population is normally distributed. The hypotheses are: H: un 0 You obtain the following sample data: Before After 62.3 72.5 61.6 39.3 21.4 67.7 60.4 38.3 47.9 85.9 78.6 67.3 75.1 59.8 48.3 72.1 79 83 61.7 56.8 57.9 44.7 56.8 50.6 71 63.4 80.G 68.9 59.8 33.9 73.1 79 49.9 38,4 59.2 55.4 64.8 55.6

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