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 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 grams 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.

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 is 0.227

Step-by-step explanation:

Let X be the sample mean of fat in 34 farm-raised trout

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 can be stated as:

P(X<31.1 grams) = P(z<z*)

where z* is the z-statistic of sample mean of 31.1 grams fat.

z* can be calculated as follows:

z*= where

Then z*= ≈ −0.7497

and P(z<z*) ≈ 0.227

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 is 0.227

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

1. 3. can also be expressed as (22/7)

2. -4.5

3. 3.6

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