Question 1 point
A manager wishes to see if the time (in minutes) it takes for their workers to complete a
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
, Before After
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:
___.0038___
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Question 2 point
A manager wants to see if it worth going back for a MBA degree. They randomly sample 18
managers' salaries before and after undertaking a MBA degree and record their salaries in
thousands of dollars. Assume Salaries are normally distributed. Test the claim that the MBA
degree, on average, increases a manager's salary. Use a 10% level of significance.
t-Test: Paired Two Sample for Means
New Old
Salary Salary
Mean 61.878 56.999
Variance 177.5551 115.8012
Observations 18 18
Pearson Correlation 0.7464
Hypothesized Mean Difference 0
df 17
A manager wishes to see if the time (in minutes) it takes for their workers to complete a
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
, Before After
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:
___.0038___
View Feedback
Question 2 point
A manager wants to see if it worth going back for a MBA degree. They randomly sample 18
managers' salaries before and after undertaking a MBA degree and record their salaries in
thousands of dollars. Assume Salaries are normally distributed. Test the claim that the MBA
degree, on average, increases a manager's salary. Use a 10% level of significance.
t-Test: Paired Two Sample for Means
New Old
Salary Salary
Mean 61.878 56.999
Variance 177.5551 115.8012
Observations 18 18
Pearson Correlation 0.7464
Hypothesized Mean Difference 0
df 17
