Test of hypothesis: Two tailed test
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A machine produces 3 inch nails. A sample of 10 nails was selected and the lengths determined:
2.89,2.95,3.00,3.05,2.99,2.96,3.10,3.06,3.00,3.12
Use the results to test Ho u=3 and Ha u not equal 3 at a=0.01. Give the computed test statistic and conclusion.
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Solution Summary
The solution tests the hypothesis that the mean length of nails is not equal to 3 inches.
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Variance and standard deviation
X= X^ 2 =
2.89 8.3521
2.95 8.7025
3.00 9
3.05 9.3025
2.99 8.9401
2.96 8.7616
3.10 9.61
3.06 9.3636
3 9
3.12 9.7344
Total= 30.12 90.7668
n=no of observations= 10
Mean= 3.012 =30.12/10
variance={summation of X 2 - ...
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