SOLUTION: Hello, Can you help me with this one? 1. You are working with a piece of manufacturing machinery that fills pouches; the pouch weight is supposed to be 8.8 ounces after being fi

Question 135312: Hello, Can you help me with this one?
1. You are working with a piece of manufacturing machinery that fills pouches; 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

Use the 5 step hypothesis testing procedure � to determine your conclusion.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
--------------------------------------------------------
Ho: u=8.8
Ha: u is not 8.8
----------------------
Data: x-bar = 7.3571 ; s = 4.0308..
---------------------
Critical value for two-tail test with alpha=5%: z=+/- 1.96

--------------------
Test statistic: z(7.3571)=(7.3571-8.8) / [4.0308/sqrt(14)] =-1.3394
---------------------
Conclusion: Since test stat does not lie in rejection interval, Fail
to reject Ho. The test provided statistical evidence that u is 8.8.
========================
Cheers,
Stan H.
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