A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled 8 ounces, the company wants the packages to contain 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages the mean amount dispenses is 8.159 ounces, with a sample standard deviation of 0.051 ounces. Use the critical value approach to determine if there is evidence that the population mean amount is different from 8.17ounces? (use a 0.05 level of significance) Determine the p-value for this test. Is the p-value consistent with the result in part a?

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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  1. A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled 8 ounces, the company wants the packages to contain 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages the mean amount dispenses is 8.159 ounces, with a sample standard deviation of 0.051 ounces.
  2. Use the critical value approach to determine if there is evidence that the population mean amount is different from 8.17ounces? (use a 0.05 level of significance)
  3. Determine the p-value for this test. Is the p-value consistent with the result in part a?
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