Question

Seventy million pounds of trout are grown in the U.S. every year. Farm-raised trout contain an average of 32 grams of fat per pound, with a standard deviation of 7.5 grams of fat per pound. A random sample of 34 farm-raised trout is selected. The mean fat content for the sample is 31.1 gratis per pound. Find the probability of observing a sample mean of 31.1 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. X ?

Answer 1

Assuming a Normal Dütribution, We have x bouts grown ~ N(32, 7.5) When n = 34, Sample Mean, N N ( 32, 7.5/334), in X-32 2 N N (0,1) 7.5/334 31.1-32 We need P(x2 31.1). P (x-32 7.5/134 7.5/834) P(Z < -0.02) - 0.5-P (-0-02 L z 20) synnerting [Pwezco) = 0.5 = 0.5- P(OLZ 20.02) = 0.5-0.0080 (from std Normal tables) 11 0 4920