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Question
The weight of potato chips in a medium-size bag is stated to be 10 ounces. The amount that the packaging machine puts in these bags is believed to have a Normal distribution with a mean of 10.2 ounces and a standard deviation of 0.14 ounces.
(a) What fraction of all bags sold are underweight?
(b) Some of the chips are sold in "bargain packs" of 6 bags. What is the probability that the mean weight of the 6 bags is below the stated amount?
(c) If the production engineer wants to change the value of the mean but maintain the standard deviation at 0.14 ounces so that at most 1.5% of all bags are underweight, how large does the engineer need to make that mean?
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