The weights of a certain brand of candies are normally distributed with a mean weight of g and a standard deviation of 0.0517 g. A sample of these candies came from a package containing 461 candies, and the package label stated that the net weight is 393.4 g. ( if every package has 461 candies, the mean weight of the candies must exceed 393.4/ 461 =0.8534 g for the net contents to weigh at least 393.4 g)
A) If 1 candy is randomly selected, find the probability that it weighs more than 0.8534 g.
B) If 461 candies are randomly selected, find the probability that their mean weight is at least 0.8534 g. The probability that a sample of 461 candies will have a mean of 0.8534 g or greater is blank.
C) Given these results, does it seem that the candy company is providing consumers with the amount claimed on the label?