p. If 441 candies are randomly selected, find the probability that their mean weight is at least 0.8532 g.

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HW 6.4 question 3

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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8551 g and a standard deviation of 0.0519 g. A sample of these candies
came from a package containing 441 candies, and the package label stated that the net weight is 376.3 g. (If every package has 441 candies, the mean weight of
376.3
the candies must exceed
441
= 0.8532 g for the net contents to weigh at least 376.3 g.)
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8532 g
The probability is 0.5160
(Round to four decimal places as needed.)
b. If 441 candies are randomly selected, find the probability that their mean weight is at least 0.8532 g.
The probability that a sample of 441 candies will have
(Round to four decimal places as needed.)
mean of 0.8532 g or greater is
Transcribed Image Text:The weights of a certain brand of candies are normally distributed with a mean weight of 0.8551 g and a standard deviation of 0.0519 g. A sample of these candies came from a package containing 441 candies, and the package label stated that the net weight is 376.3 g. (If every package has 441 candies, the mean weight of 376.3 the candies must exceed 441 = 0.8532 g for the net contents to weigh at least 376.3 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8532 g The probability is 0.5160 (Round to four decimal places as needed.) b. If 441 candies are randomly selected, find the probability that their mean weight is at least 0.8532 g. The probability that a sample of 441 candies will have (Round to four decimal places as needed.) mean of 0.8532 g or greater is
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