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Mathematics, 24.07.2020 16:01 teana58

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8624 g and a standard deviation of 0.0514 g. A sample of these candies came from a package containing 441 candies, and the package label stated that the net weight is 376.7 g. (If every package has 441 candies, the mean weight of the candies must exceed StartFraction 376.7 Over 441 EndFraction equals0.8541 g for the net contents to weigh at least 376.7 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8541 g. The probability is nothing. (Round to four decimal places as needed.) b. If 441 candies are randomly selected, find the probability that their mean weight is at least 0.8541 g. The probability that a sample of 441 candies will have a mean of 0.8541 g or greater is nothing. (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? โ–ผ Yes, No, because the probability of getting a sample mean of 0.8541 g or greater when 441 candies are selected โ–ผ is is not exceptionally small.

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