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July 1, 2015

Homework Help: statistics

Posted by cindy on Monday, July 19, 2010 at 10:41am.

M&M plain candies have weights that are normally distrbuted with a mean weight of 0.8565 gram and a standard deviation of 0.0518 gram. A random sample of 100 M&M candies is obtained from a package containing 465 candies: the package label states that the net weight is 396.9 grams. If every package has 465 candies, the mean weight of the candies must exceed 396.9/465=0.8535 for the net contents to weigh at least 3969.9 grams.
A. If 1 M&M plain cand is randomly selected, how likely is it that it weighs more than 0.8535 gram?
B. If 465 M&M plain candies are randomly selected, how likely is it that their mean weight is at least 0.8535 gram?

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