A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will change when they are allowed to wear ear buds at work. A random sample of 4 workers' times were collected with and without earbuds. Assume the populations of time to complete the task is normal. Without earbuds With earbuds 36.7 34 51.9 49.5 43.4 42 46.8 43.6 Test whether the time to complete the task changed, on average, with earbuds at a significance level of a = 0.05. The test statistic is (use 4 decimal places)

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A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will
change when they are allowed to wear ear buds at work. A random sample of 4 workers' times were collected
with and without earbuds. Assume the populations of time to complete the task is normal.
Without earbuds
With earbuds
36.7
34
51.9
49.5
43.4
42
46.8
43.6
Test whether the time to complete the task changed, on average, with earbuds at a significance level of
0.05.
a =
The test statistic is
(use 4 decimal places)
Transcribed Image Text:Part 1 of 2 A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will change when they are allowed to wear ear buds at work. A random sample of 4 workers' times were collected with and without earbuds. Assume the populations of time to complete the task is normal. Without earbuds With earbuds 36.7 34 51.9 49.5 43.4 42 46.8 43.6 Test whether the time to complete the task changed, on average, with earbuds at a significance level of 0.05. a = The test statistic is (use 4 decimal places)
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