(Answered) Question a manufacturer of chocolate candies uses machines

Statistics

Question: A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.Although the packages are labeled as 8 ounces, the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidencethat the mean amount packaged is different from 8.17ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.159 ounces, with a sample standard deviation of 0.051 ounce.

a. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance.)

b. Determine the p-value and interpret its meaning.

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