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Week 6 practice test 1. - American Public University MATH 302 | COMPLETED
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Week 6 practice test 1. - American Public University MATH 302 | COMPLETED A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task is faster if they are wearing earbuds. A random sample of 20 workers' times were collected before and after wearing earb...

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  • 27 de enero de 2023
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  • week 6 practice test 1 american public university math 302 | completed
  • a manager wishes to see if the time in minutes it takes for their workers to complete a certain task is faster if they are w

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  • MATH 302
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A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain
task is faster 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 faster,
i.e. meaning has production increased, 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
68 62.3
72.5 61.6
39.3 21.4
67.7 60.4
38.3 47.9
85.9 78.6
67.3 75.1
59.8 48.3
72.1 65
79 83
61.7 56.8
57.9 44.7
56.8 50.6
71 63.4
80.6 68.9
59.8 33.9
73.1 79
49.9 38.4
59.2 55.4
64.8 55.6

Choose the correct decision, summary and state the p-value.

, 

A.

Do not reject H0, there is enough evidence to support the claim that the time to complete
the task has decreased when workers are allowed to wear earbuds at work and the p-value
= .0012





B.

Do not reject H0, there is not enough evidence to support the claim that the time to
complete the task has decreased when workers are allowed to wear earbuds at work and
the p-value = .0024.





C.

Reject H0, there is enough evidence to support the claim that the time to complete the task
has decreased when workers are allowed to wear earbuds at work and the p-value = .0024





D.

Reject H0, there is enough evidence to support the claim that the time to complete the task
has decreased when workers are allowed to wear earbuds at work and the p-value = .0012




Answer Key:D
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) one-tail 0.0012
Question 2 of 20
1.0/ 1.0 Points
A researcher is testing reaction times between the dominant and non-dominant hand. They
randomly start with each hand for 20 subjects and their reaction times in milliseconds are
recorded. Test to see if the reaction time is faster for the dominant hand using a 5% level of
significance. The hypotheses are:
H0 : μD = 0
H1 : μD > 0

t-Test: Paired Two Sample for Means


Non-
Dominant Dominant
Mean 63.33 56.28
218.96431 128.75221
Variance 58 05
Observations 20 20
Pearson Correlation 0.9067
Hypothesized Mean
Difference 0
df 19
t Stat 4.7951
P(T<=t) one-tail 0.0001
t Critical one-tail 1.7291
P(T<=t) two-tail 0.0001
t Critical two-tail 2.0930


What is the correct decision?

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