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?