Quantify the uncertainty of your estimate by giving the standard deviation of the distribution. Round your response to at least three decimal places.
#3 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 35 farm-raised trout is selected. The mean fat content for the sample is 30.5 grams per pound. Find the probability of observing a sample mean of 30.5 grams of fat per pound or less in a random sample of 35 farm-raised trout.
3.Normal DistributionMean ( u ) =32Standard Deviation ( sd )=7.5Number ( n ) = 35Normal Distribution = Z= X­ u / (sd/Sqrt(n) ~ N(0,1) P(X > 30.5) = (30.5­32)/7.5/ Sqrt ( 35 )=…