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Week 6 practice test 4 - American Public University MATH 302 | COMPLETE

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Course
MATH 302

Institution
American Military University

Week 6 practice test 4 - American Public University MATH 302 | COMPLETE A manager wants to see if it is worth going back for an 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 ...

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week 6 practice test 4 american public university math 302 | complete
a manager wants to see if it is worth going back for an mba degree they randomly sample 18 managers salaries before and aft

Institution
American Military University
Course
MATH 302

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A manager wants to see if it is worth going back for an 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 59.82778 52.66667
Variance 175.5551 112.7012
Observations 18 18
Pearson Correlation 0.7464
Hypothesized Mean Difference 0
df 17
t Stat 3.4340
P(T<=t) one-tail 0.0016
t Critical one-tail 1.3334
P(T<=t) two-tail 0.0033
t Critical two-tail 1.7396

The hypotheses for this problem are:
H0: μD = 0
H1: μD > 0

What is the correct p-value?



A.

-3.4340

, 

B.

-1.3334



C.

0.0033



D.

0.0016



E.

0.7464

Answer Key:D
Feedback:
No calculations are needed. The answer is given to you in the output.
P(T<=t) one-tail 0.0016
Question 2 of 20
0.0/ 1.0 Points
An adviser is testing out a new online learning module for a placement test. They wish to test the
claim that on average the new online learning module increased placement scores at a
significance level of α = 0.05. For the context of this problem, μD=μnew–μold where the first data set
represents the new test scores and the second data set represents old test scores. Assume the
population is normally distributed.

, H0: μD = 0
H1: μD < 0
You obtain the following paired sample of 19 students that took the placement test before and
after the learning module:

New
Old LM
LM

58.1 55.8
58.3 53.7
83.6 76.6
49.5 47.5
51.8 48.9
20.6 11.4
35.2 30.6
46.7 54
22.5 21
47.7 58.5
51.5 42.6
76.6 61.2
29.6 26.8
14.5 12.5
43.7 56.3
57 43.1
66.1 72.8
38.1 42.2
42.4 51.3 Choose the correct decision and summary and state the p-value.



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Exam (elaborations)

Week 6 practice test 4 - American Public University MATH 302 | COMPLETE

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