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 7 grams of fat per pound. A random sample of 35 farm-raised trout is selected. The mean fat content for the sample is 31.8 grams per pound. Find the probability of observing a sample mean of 31.8 grams of fat per pound or less in a random sample of 35 farm-raised trout.

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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 7 grams of fat per pound. A random sample of 35 farm-raised trout is selected. The mean fat content for the sample is 31.8 grams per pound.

Find the probability of observing a sample mean of 31.8 grams of fat per pound or less in a random sample of 35 farm-raised trout.

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

[Graph/Diagram Explanation: Not applicable—no graphs or diagrams present in the image.]

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Transcribed Image Text: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 7 grams of fat per pound. A random sample of 35 farm-raised trout is selected. The mean fat content for the sample is 31.8 grams per pound. Find the probability of observing a sample mean of 31.8 grams of fat per pound or less in a random sample of 35 farm-raised trout. Carry your intermediate computations to at least four decimal places. Round your answer to at least three decimal places. [Graph/Diagram Explanation: Not applicable—no graphs or diagrams present in the image.] Buttons: - Recheck - Try again - Save For Later - Submit Assignment
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Step 1: We need to write the given information in this step.

Solution-:

Given: M e a n equals mu equals 32 comma S D equals sigma equals 7 comma n equals 35

We want to find P left parenthesis x with bar on top space less or equal than 31.8 space right parenthesis equals ?

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