Cereal A companys cereal boxes advertise 9.65 ounces of cereal. In fact, the amount of cereal in
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Cereal A company’s cereal boxes advertise 9.65 ounces of cereal. In fact, the amount of cereal in a randomly selected box follows a Normal distribution with mean m = 9.70 ounces and standard deviation s = 0.03 ounces.
(a) What is the probability that a randomly selected box of the cereal contains less than 9.65 ounces of cereal? Show your work.
(b) Now take an SRS of 5 boxes. What is the probability that the mean amount of cereal x– in these boxes is 9.65 ounces or less? Show your work.
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