MATH302 D002 Win 20 Tests & Quizzes
Tests & Quizzes
Week 6 Test
Return to Assessment List
Part 1 of 7 - Matched or Paired Samples Questions 2.0/ 2.0 Points
Question 1 of 20
1.0/ 1.0 Points
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
, Before After
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: .0038
Answer Key: 0.0038|.0038
Feedback:
Copy and paste the data into Excel. Use the Data Analysis Toolpak in Excel.
Data - > Data Analysis -> scroll to where is says t:Test: Paired Two Samples for Means -> OK
Variable 1 Range: is Before
Variable 2 Range: is After
The Hypothesized Mean Difference is 0 and make sure you click Labels in the first row and click OK. You will get an
output and this is the p-value you are looking for.
P(T<=t) two-tail 0.0038
Question 2 of 20
1.0/ 1.0 Points
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
t Stat 2.9870
P(T<=t) one-tail 0.0024
t Critical one-tail 1.3334
P(T<=t) two-tail 0.0048
t Critical two-tail 1.7396
The hypotheses for this problem are:
H0: μD = 0
H1: μD > 0
What is the correct test statistic?
A. 1.3334
B. 2.9870
Tests & Quizzes
Week 6 Test
Return to Assessment List
Part 1 of 7 - Matched or Paired Samples Questions 2.0/ 2.0 Points
Question 1 of 20
1.0/ 1.0 Points
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
, Before After
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: .0038
Answer Key: 0.0038|.0038
Feedback:
Copy and paste the data into Excel. Use the Data Analysis Toolpak in Excel.
Data - > Data Analysis -> scroll to where is says t:Test: Paired Two Samples for Means -> OK
Variable 1 Range: is Before
Variable 2 Range: is After
The Hypothesized Mean Difference is 0 and make sure you click Labels in the first row and click OK. You will get an
output and this is the p-value you are looking for.
P(T<=t) two-tail 0.0038
Question 2 of 20
1.0/ 1.0 Points
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
t Stat 2.9870
P(T<=t) one-tail 0.0024
t Critical one-tail 1.3334
P(T<=t) two-tail 0.0048
t Critical two-tail 1.7396
The hypotheses for this problem are:
H0: μD = 0
H1: μD > 0
What is the correct test statistic?
A. 1.3334
B. 2.9870
