A certain brand of candies have a mean weight of 0.8616 g and a standard deviation of 0.0518 based on sample of a package containing 447 candies. the package lable stated that the net weight is 381.8g (If every package has 447 candies the mean weight of the candies must exceed 381.8/447 =0.8542 for the net contents to weigh at least 381.8g. (more to come)

Question

andijo76 · Answer

a) if 1 candy is randomly selected, find the probability that it weighs more than 0.8542g
   The probability is 
    (round to four decimal places as needed)

b) if 447 candies are randomly 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?
  N0/Yes because the probability of getting a sample mean of 0.8542g or greater when 447 candies are selected is not/is exceptional