The weights of a certain brand of candies are normally distributed with a mean weight of 0.8599 g and a standard deviation of 0.0513 . A sample of these candies came from a package containing 470 candies

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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 0.0513 . A sample of these candies came from a package containing 470 candies , and the package label stated that the net weight is 401.0 g (every package has 470 candies , the mean weight of the candies must exceed g for the net contents to weigh at least 401.09 .) 401.0/470 = 0.8531 a . If 1 candy is randomly selected , find the probability that it weighs more than 0.8531 g. The probability is (Round to four decimal places as needed . ) b If 470 candies are randomly selected , find the probability that their mean weight is at least 0.8531 g. The probability that a sample of 470 candies will have a mean of 0.8531 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 0.8531 g or greater when 470 candies are selected exceptionally small

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