A certain brand of candies have a mean weight of 0.8608g and a standard deviation of 0.052, bsed on a sample of a package contining 451 candies. The package lable stated that the net weight is 385.1g. (If every package has 451 candies the mean weigh of the candies must exceed 385.1/451=0.8539 for the net contents to weigh at least 385.1g)
a. If 1 candy is randomly selected, find the probability that it weighs more than 0.8530g/
b. If 451 candies are randomly selected, find the probabilty that their mean weight is at least 0.8539g. or greater.
c. Given these results, does it seem that the candy company is provideing consumers with the amount claimed on the label (yes or no) because the probablity of getting a sample mean of 0.8539g or greater when 451 candies are selected is (is or is not) exceptionally small.