pls i really need help

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 8

grams of fat per pound. A random sample of 38

farm-raised trout is selected. The mean fat content for the sample is 30.7

grams per pound. Find the probability of observing a sample mean of 30.7

grams of fat per pound or less in a random sample of 38

farm-raised trout.

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

Answer 1

Here, mu = 32, sigma = 8, n = 38, and xbar = 30.7.

Now, P(xbar < 30.7) = normalcdf(-1*10^99, 30.7, 32, 8/sqrt(38)) = 0.1582.

Note: Normalcdf is the cumulative distribution function for the normal distribution. To run the function on a TI-calculator, try pressing 2nd —> DIST —> normalcdf —> and then pass the arguments separated by commas.