The weights of a certain brand of candies are normally distributed with a mean weight of 0.8584 g and a standard deviation of 0.0524 g. A sample of these candies came from a package containing 469 candies, and the package label stated that 400.2 the net weight is 400.2 g. (If every package has 469 candies, the mean weight of the candies must exceed 60 =0.8533 g for the net contents to weigh at least 400.2 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8533 g. The probability is (Round to four decimal places as needed.) b. If 469 candies are randomly selected, find the probability that their mean weight is at least 0.8533 g. The probability that a sample of 469 candies will have a mean of 0.8533 g or greater is. (Round to four decimal places as needed.) c. Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label? V because the probability of getting a sample mean of 0.8533 g or greater when 469 candies are selected V exceptionally small.

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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8584 g and a standard deviation of 0.0524 g. A sample of these candies came from a package containing 469 candies, and the package label stated that
400.2
the net weight is 400.2 g. (If every package has 469 candies, the mean weight of the candies must exceed
469
= 0.8533 g for the net contents to weigh at least 400.2 g.)
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8533 g.
The probability is:
(Round to four decimal places as needed.)
b. If 469 candies are randomly selected, find the probability that their mean weight is at least 0.8533 g.
The probability that a sample of 469 candies will have a mean of 0.8533 g or greater is
(Round to four decimal places as needed.)
c. Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label?
because the probability of getting a sample mean of 0.8533 g or greater when 469 candies are selected
exceptionally small.
Transcribed Image Text:The weights of a certain brand of candies are normally distributed with a mean weight of 0.8584 g and a standard deviation of 0.0524 g. A sample of these candies came from a package containing 469 candies, and the package label stated that 400.2 the net weight is 400.2 g. (If every package has 469 candies, the mean weight of the candies must exceed 469 = 0.8533 g for the net contents to weigh at least 400.2 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8533 g. The probability is: (Round to four decimal places as needed.) b. If 469 candies are randomly selected, find the probability that their mean weight is at least 0.8533 g. The probability that a sample of 469 candies will have a mean of 0.8533 g or greater is (Round to four decimal places as needed.) c. Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label? because the probability of getting a sample mean of 0.8533 g or greater when 469 candies are selected exceptionally small.
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