##### Question

In: Statistics and Probability

# The weights of a certain brand of candies are normally distributed with a mean weight of...

The weights of a certain brand of candies are normally distributed with a mean weight of 0.8549 g and a standard deviation of 0.0521 g. A sample of these candies came from a package containing 456​candies, and the package label stated that the net weight is 389.2 g.​ If every package has 456 candies, the mean weight of the candies must exceed 389.2/456 = 0.8536 for the net contents to weigh at least 389.2 ​g. a) if 1 candy is randomly selected, find the probability that it weights more than 0.8542g. the probability is.... b) If 447 candies are reandomly selected find the probability that their mean weight is at least 0.8542 g. the probability that a sample of 447 candies will have a mean of 0.8542g 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?

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