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categoryالرياضيات
schoolبكالوريوس
event_available2026-07-15
السؤال
Transcribed Image Text:
MyOpenMath
A manager wishes to see if the time (in minutes) it takes for their workers to complete a certain task will
change when they are allowed to wear ear buds at work. A random sample of 8 workers' times were collected
before and after wearing ear buds. Assume the data is normally distributed.
Perform a Matched-Pairs hypothesis test for the claim that the time to complete the task has changed at a
significance level of a
0.20.
-
If you wish to copy this data to a spreadsheet or StatCrunch, you may find it useful to first copy it to Notepad,
in order to remove any formatting.
Round answers to 4 decimal places.
For the context of this problem, Md After Before,
where the first data set represents "after" and the second data set represents "before".
Ho: d=0
Ha: Pa 0
This is the sample data:
After
Before
56.7
39
24.5
42.5
79.9
42.6
29.2
29.7
43.1
48.8
69.3
43.2
71
43.5
86.3
45
What is the mean difference for this sample?
Mean difference (d) =
What is the standard deviation difference for this sample?
standard deviation difference (sd) =
What is the test statistic for this test?
test statistic =
This P-value leads to a decision to.. Select an answer
As such, the final conclusion is that
Select an answer
fail to reject the null
accept the null
reject the claim
reject the null
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