SOLUTION: A production filling operation has a population standard deviation of 6 ounces. When in proper adjustment, the mean filling weight for the production process is 50 ounces. A qualit

Question 318891: A production filling operation has a population standard deviation of 6 ounces. When in proper adjustment, the mean filling weight for the production process is 50 ounces. A quality control inspector selects a random sample of 36 containers and finds that the mean weight is 48.6 ounces. Does the process need adjustment? Why? Find the p-value. (Hint: the process will need adjustment if the mean weight is either significantly above or below 50 ounces)
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A production filling operation has a population standard deviation of 6 ounces.
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When in proper adjustment, the mean filling weight for the production process is 50 ounces.
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A quality control inspector selects a random sample of 36 containers and finds that the mean weight is 48.6 ounces.
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Does the process need adjustment? Why? Find the p-value. (Hint: the process will need adjustment if the mean weight is either significantly above or below 50 ounces)
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Ho: u = 50 ounces
Ha: u is not equal to 50 ounces
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x-bar = 48.6 ounces
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t(48.6) = (48.6-50)/[6/sqrt(36)] = -1.4
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p-value = 2*P(t< -1.4 when df = 35) = 0.1703
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Since the p-value is greater than 5%, fail to reject Ho.
The mean of the production process is statistically equal to 50;
it does not need adjustment.
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Cheers,
Stan H.
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