SOLUTION: I really need help on this one. The data given below show the number of students attending cyber charter schools in Allegheny County, Pittsburgh, Pennsylvania and the number of

Question 765242: I really need help on this one.
The data given below show the number of students attending cyber charter schools in Allegheny County, Pittsburgh, Pennsylvania and the number of students attending cyber schools in counties surrounding Allegheny County. At , is there enough evidence to support the claim that the average number of students in school districts in Allegheny County who attend cyber schools is greater than those who attend cyber schools in school districts outside Allegheny County? Assume normal distributions and equal population variances. (Decide whether the z-test or the t-test applies). You will have to calculate the sample mean and sample standard deviation for each group.

Allegheny County
25, 75, 38, 41, 27, 32
Outside Allegheny County
57, 25, 38, 14, 10, 29

Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
is there enough evidence to support the claim that the average number of students in school districts in Allegheny County who attend cyber schools is greater than those who attend cyber schools in school districts outside Allegheny County? Assume normal distributions and equal population variances. (Decide whether the z-test or the t-test applies). You will have to calculate the sample mean and sample standard deviation for each group.
Allegheny County
25, 75, 38, 41, 27, 32
Outside Allegheny County
57, 25, 38, 14, 10, 29
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Ha: ua-uo > 0 (claim)
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I ran both a 2-Sample Z-test and a 2-Sample T-test:
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Z-test results
test stat:: 2.6528
p-value:: 0.0040
Conclusion: Reject Ho at the 1% level of significance
Test supports the claim.
============================
T-test results
test stat:: t = 1.0565
p-value:: 0.1579
Conclusion: Fail to reject Ho at the 10% level of significance
Test does not support the claim.-
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The samples are very small. I would go with the t-testing.
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Cheers,
Stan H.
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