Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average (mean) of

32

grams of fat per pound, with a standard deviation of

8

grams of fat per pound. Arandom sampleof

34

farm-raised trout is selected. The mean fat content for the sample is

29.7

grams per pound.

Find the probability of observing a sample mean of

29.7

grams of fat per pound or less in a random sample of

34

farm-raised trout.

Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places.