The weights of a certain brand of candies are normally distributed with a mean weight of 0.8585 g and a standard deviation of 0.0521 g. A nample of these candies came from a package containing 461 candies, and the package label stated that the net weight is 393.5 g. (If every package has 461 candies, the mean welght of the 393.5 candies must exceed 461 0.8536 g for the net contents to weigh at least 393.5 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0 8536 g The probability is (Round to four decimal places as needed.) b. If 461 candies are randomly selected, find the probability that thoir mean weight is at least 0.8536 g The probability that a sample of 461 candies will have a mean of 0.8536 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 8536 g or greater when 461 candies are selected exceptionally small

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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8585 g and a standard deviation of 0.0521 g. A sample of these candies
came from a package containing 461 candies, and the package label stated that the net weight is 393.5 g. (If every package has 461 candies, the mean weight of the
393.5
=0.8536 g for the net contents to weigh at least 393.5 g.)
candies must exceed
461
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g
The probability is
(Round to four decimal places as needed.)
b. If 461 candies are randomly selected, find the probability that their mean weight is at least 0.8536 g
The probability that a sample of 461 candies will have a mean of 0.8536 g or greater is
(Round to four decimal placos 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 0.8536 g or greater when 461 candies are selected
exceptionally small.
Transcribed Image Text:The weights of a certain brand of candies are normally distributed with a mean weight of 0.8585 g and a standard deviation of 0.0521 g. A sample of these candies came from a package containing 461 candies, and the package label stated that the net weight is 393.5 g. (If every package has 461 candies, the mean weight of the 393.5 =0.8536 g for the net contents to weigh at least 393.5 g.) candies must exceed 461 a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g The probability is (Round to four decimal places as needed.) b. If 461 candies are randomly selected, find the probability that their mean weight is at least 0.8536 g The probability that a sample of 461 candies will have a mean of 0.8536 g or greater is (Round to four decimal placos 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 0.8536 g or greater when 461 candies are selected exceptionally small.
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