Assume that cans of cola are filled so that the actual amounts are normally distributed with a mean of 12.00 ounces and a standard deviation of 0.11 ounce.
a. What is the likelihood that a sample of 36 cans will have a mean amount of at least 12.05 ounces?
b. Given the result in part a, is it reasonable to believe that the cans are actually filled with a mean of 12.00 ounces? If the mean is not 12.00 ounces, are consumers being cheated?