Reference no: EM132461755

A manager wishes to see if the time (in minutes) it takes for their workers to complete certain task is different if they are wearing earbuds.  A random sample of 20 workers' times were collected before and after wearing earbuds. Test the claim that the time to complete the task will be different, i.e. meaning has production differed at all, at a significance level of α = 0.01

For the context of this problem, μD = μbefore-μafter where the first data set represents before earbuds and the second data set represents the after earbuds. Assume the population is normally distributed. The hypotheses are:

H0: μD = 0

H1: μD  0

You obtain the following sample data:

Before After

69 65.3

69.5 61.6

39.3 21.4

66.7 60.4

38.3 46.9

85.9 76.6

70.3 77.1

59.8 51.3

72.1 69

79 83

61.7 58.8

55.9 44.7

56.8 50.6

71 63.4

80.6 68.9

59.8 35.5

73.1 77

49.9 38.4

56.2 55.4

64.3 55.6

Find the p-value. Round answer to 4 decimal places.

p-value:______