<PRE><B>Question 135312</B>
the pouch weight is supposed to be 8.8 ounces after being filled; you have been asked to see if the mean weight is different from 8.8 ounces … at the 0.05 level of significance.

You have a sample of 14 filled pouches with the following weights:

12 , 6 , 11 , 12 , 5 , 0 , 2 , 7 , 8 , 7 , 6 , 3 , 12 , 12 

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Ho: u=8.8
Ha: u is not 8.8
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Data: x-bar = 7.3571 ; s = 4.0308..
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Critical value for two-tail test with alpha=5%: z=+/- 1.96
 
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Test statistic: z(7.3571)=(7.3571-8.8) / [4.0308/sqrt(14)] =-1.3394
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Conclusion: Since test stat does not lie in rejection interval, Fail
to reject Ho. The test provided statistical evidence that u is 8.8.
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Cheers,
Stan H.</PRE>