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Week 6 Test 1 - American Public University MATH 302 | COMPLETED
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  • MATH 302
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  • American Military University

Week 6 Test 1 - American Public University MATH 302 | COMPLETED 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 ...

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  • January 27, 2023
  • 21
  • 2022/2023
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  • week 6 test 1 american public university math 302 | completed
  • 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

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  • American Military University
  • MATH 302
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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


57.1 55.8


58.3 51.7


83.6 76.6


50.5 47.5


51.5 48.6


20.6 15.5

, New
Old LM
LM

35.2 29.9


46.7 54


23.5 21


48.8 58.5


53.1 42.6


76.6 61.2


29.6 26.3


14.5 11.4


43.7 56.3


57 46.1


66.1 72.9


38.1 43.2
Find the p-value. Round answer to 4 decimal places.
44.4 51.1
p-value = 0.1987

, 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




Old
New 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

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