# Assume that cans of Coke are filled so that the actual amounts are normally distributed with a

## Question:

Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.11 oz.

a. Find the probability that a single can of Coke has at least 12.19 oz.

b. The 36 cans of Coke in Data Set 26 “Cola Weights and Volumes” in Appendix B have a mean of 12.19 oz. Find the probability that 36 random cans of Coke have a mean of at least

12.19 oz.

c. Given the result from part (b), is it reasonable to believe that the cans are actually filled with a mean equal to 12.00 oz? If the mean is not equal to 12.00 oz, are consumers being cheated?

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