The file P09_45.xlsx contains measurements of ounces in randomly selected cans from a soft-drink filling machine. These

Question:

The file P09_45.xlsx contains measurements of ounces in randomly selected cans from a soft-drink filling machine. These cans reportedly contain 12 ounces, but because of natural variation, the actual amounts differ slightly from 12 ounces.
a. Can the company legitimately state that the amounts in cans are normally distributed?
b. Assuming that the is normal with the mean and standard deviation found in this sample, calculate the probability that at least half of the next 100 cans filled will contain less than 12 ounces.
c. If the test in part a indicated that the data are not normally distributed, how might you calculate the probability requested in part b?

Distribution
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