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Assume cans of Coke are filled so the actual amounts have a mean of 12.00 oz. and a standard deviation of 0.11 oz.

Assume cans of Coke are filled so the actual amounts have a mean of 12.00 oz. and a standard deviation of 0.11 oz.
a) Find the probability that a sample of 36 cans will have a mean amount of at least 12.19 oz
b) Based on the result from part a, is it reasonable to believe that the cans are actually filled with a mean of 12.0 oz? If the mean is not 12.0 oz, are the consumers being cheated?

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