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Mean Weight of Plain Candies

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Labeling of M&M Packages

Q. M&M plain candies have a mean weight of 0.9147 g and a standard deviation of 0.0369 g (based on Data Set 19 in Appendix C). the M&M candies used on Data Set 19 came from a package containing 1498 candies, and the package label stated that the net weight is 1361 g. (If every package has 1498 candies, the candies must exceed 1361/1498 = 0.9085 g for the net contents to weigh at least 1361 g.)

a. If 1 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 the Mars Company is providing M&M consumers with the amount claimed on the label?

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This solution shows step-by-step calculations and justifications to determine the probability of selection M&M candies with specific weights.

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Labeling of M&M Packages
Q. M&M plain candies have a mean weight of 0.9147 g and a standard deviation of 0.0369 g (based on Data Set 19 in Appendix C). the M&M candies used on Data Set 19 came from a package containing 1498 candies, and the package label stated that the net weight is 1361 g. (If every package has 1498 ...

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