SOLUTION: 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

Algebra ->  Probability-and-statistics -> SOLUTION: 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       Log On


   



Question 135291: 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!
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
------------
Ho: u = 10
Ha: u is not 10
-----------------------
x-bar = 9.56
-----------
Critical value if alpha = 5%: z = +/- 1.96
----------------
Test statistic: z(9.56)= (9.56-10)*1.16256../[sqrt(10)] = -1.1968...
---------------
Conclusion: Since test statistic does not lie in the rejection interval,
Fail to reject Ho. The test provided statistical evidence that the mean
is 10.
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Cheers,
Stan H.