Mathematics, 06.05.2020 03:19 tynasiaparks13
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8556 g and a standard deviation of 0.0511 g. A sample of these candies came from a package containing 469 candies, and the package label stated that the net weight is 400.3 g. (If every package has 469 candies, the mean weight of the candies must exceed StartFraction 400.3 Over 469 EndFraction equals0.8536 g for the net contents to weigh at least 400.3 g.)
Required:
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8536 g.
b. If 441 candies are randomly selected, find the probability that their mean weight is at least 0.8543 g.
c. Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label?
Answers: 1
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