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A manufacture of chocolate candies uses machines to packagecandies as they move

ID: 2914986 • Letter: A

Question

A manufacture of chocolate candies uses machines to packagecandies as they move along a filling line. Although the packagesare labeled as 8 ounces, the company wants the packages to containa mean of 8.17 ounces so that virtually none of the packagescontain less than 8 ounces. A sample of 50 packages is selectedperiodically and the packaging process is stopped if there isevidence that the mean amount packaged is different from 8.17ounces. Suppose that in a particular sample of 50 packages he meanamount is dispensed is 8.159 ounces, with a sample standarddeviation of .051ounce.

A)is there evidence that the population mean amount is differentfrom 8.17 ounces(use .05 level of significance)

B) determine the p-value and interpret its meaning.

Explanation / Answer

A. z = (8.159-8.17)/(0.051/(50)) = -1.525 > -1.96 (CV for = 0.05) so there is no evidence B. from Z table, P(z
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