M&M plain candies have a mean weight of 0.9147 g and a standard deviation of 0.0369 g (based on Data Set 11 in Appendix B). The M&M candies used in Data Set 11 came from a package containing 1498 candies, and the package label stated that the net weight is 48.0 oz, or 1361 g. (If every package has 1498 candies, the mean weight must exceed 1361/1498 = 0.9085 g for the net contents to weigh at least 1361 g.)
a. If an M&M plain candy is randomly selected, find the probability that it weighs more than 0.9085 g.
b. If 1498 M&M plain candies are randomly selected, find the probability that their mean weight is at least 0.9085 g.
c. Given these results, does it seem that Mars is providing M&M consumers with the amount claimed on the label?