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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8599 g and a standard deviation of 0.051 g.

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The weights of a certain brand of candies are normally distributed with a mean weight of 0.8599 g and a standard deviation of 0.051 g. A sample of these candies came from a package containing 442 candies, and the package label stated that the net weight is 377.4 g. (If every package has 442 candies, the mean weight of the candies must exceed -= 0.8539 g for the 377.4 net contents to weigh at least 377.4 g.) a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8539 g. The probability is. (Round to four decimal places as needed.) b. If 442 candies are randomly selected, find the probability that their mean weight is at least 0.8539 g. The probability that a sample of 442 candies will have a mean of 0.8539 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 0.8539 g or greater when 442 candies are selected exceptionally small

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