SOLUTION: help on this question For the following set of data, test the hypothesis that the average is 10. Run a test of that hypothesis and present the conclusion. x 8.9 9.7 10.3 8.5

Algebra ->  Probability-and-statistics -> SOLUTION: help on this question For the following set of data, test the hypothesis that the average is 10. Run a test of that hypothesis and present the conclusion. x 8.9 9.7 10.3 8.5      Log On


   



Question 139133: help on this question
For the following set of data, test the hypothesis that the average is 10. Run a test of that hypothesis and present the conclusion.
x
8.9
9.7
10.3
8.5
10.4
9.3
9.8
7.1
10.6
11.1

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ho: u=10
Ha: u is not 10
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Find the mean of the sample: x-bar
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Determine the critical t values for a two tail test with alpha=5% and dr=9
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Determine the test statistic: t(x-bar) = (x-bar - 10)/[s/sqrt(10)]
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Determine the p-value
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Draw a conclusion based on the p-value compared to alpha
or the test statistic compared to the critical values.
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Running a T-test I get:
test statistic: t=-1.1556
p-value: 0.27759...
x-bar= 9.57
s=1.1767...
------------
Conclusion: Fail to reject Ho.
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Cheers,
Stan H.