According to the information on a granola raisin bran cereal box, the cereal is packaged in boxes containing 18.0 oz. of cereal, with a standard deviation of 0.5 oz. Assume that a quality assurance investigator pulls out a random sample of 32 boxes of this cereal and weighs the boxes’ contents. The investigator obtains a mean of 17. Here are the results:

a. State the null hypothesis.

b. Calculate the normal deviate Z test.

c. What is the probability that the average weight per box of this sample’s cereal would be that far below the stated standard weight if the company’s granola raisin bran cereal really does average 18.0 oz. per box?