SOLUTION: A chocolate company uses machines to package candies, the packages are labeled as 8 ounces, the company wants packages to contain 8.17 ounces so that virtually none of the packages

Question 192454: A chocolate company uses machines to package candies, the packages are labeled as 8 ounces, the company wants packages to contain 8.17 ounces so that virtually none of the packages contain less than 8oz. A sample of 50 packages is selected and the packing is stopped is there is evidence that the mean amount is different from 8.17oz. Suppose that the mean amount dispensed in a sample of 50 packages is 8.159oz with a sample standard deviation of 0.051oz.
A. Is there evidence that the population mean amount is different from 8.17oz? (use a 0.05 level of significance)
B. Compute the p-value and interpret its meaning.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A chocolate company uses machines to package candies, the packages are labeled as 8 ounces, the company wants packages to contain 8.17 ounces so that virtually none of the packages contain less than 8oz. A sample of 50 packages is selected and the packing is stopped is there is evidence that the mean amount is different from 8.17oz. Suppose that the mean amount dispensed in a sample of 50 packages is 8.159oz with a sample standard deviation of 0.051oz.
A. Is there evidence that the population mean amount is different from 8.17oz? (use a 0.05 level of significance)
Ho: u >= 8.17
Ha: u < 8.17
B. Compute the p-value and interpret its meaning.
I ran a T-test and got the following results:
test statistic: t = -1.52513...
p-value: = P(t < -1.52513) = 0.0668...
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Since the p-value is greater than 5%, fail to reject Ho.
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Cheers,
Stan H.

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