A certain brand of candies have a mean weight of 0.8617 g and a stand deviation of 0.0521, based on a sample of a package containing 442 candies. The package label stated that the net weight is 377.6 g. (if every package has 442 candies, the mean weight of the candies must exceed 377.6/442= 0.8544 for the net contents to weigh at least 377.6 g.
A.) If 1 candy is randomly selected, find the probability that it weighs more than 0.8544 g.
B.) If 442 candies are randomly selected, find the probability that their mean, weight is at least 0.8544 g.
C.) Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label?