A natural food company is marketing a new yogurt that it advertises as having only half the fat of regular yogurt. The average amount of fat in a cup of regular yogurt is 1 unit. The Food and Drug Administration has asked us to investigate the product to see whether the company has engaged in false advertising. The test results are as follows:

What is the probability of our observing .52 units of average fat, as shown in the report if the population average fat is .5, as stated in the advertisement?

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Amount of yogurt tested Average amount of fat contained per cup Number of cups containing more than half the fat of regular yogurt Standard deviation of the amount of fat 400 cups 52 units 12 cups .2 units