Question

In: Statistics and Probability

Protein content in a particular farmer’s soybean crop is normally distributed with a mean of 40...

Protein content in a particular farmer’s soybean crop is normally distributed with a mean of 40 grams and a standard deviation of 20 grams. Suppose we take samples of size 100 soy plants. Use this data to answer the following:

a.) Find the probability that a randomly chosen soy plant’s protein content will be less than 38 grams. Write answer as decimal rounded to the thousandth.

b.) Find the probability the sample mean protein content will be less than 38 grams. Write answer as decimal rounded to the thousandth.

Solutions

Expert Solution

Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-0.1, TRUE)" to find the probability.

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Refer Standard normal table/Z-table to find the probability or use excel formula "=NORM.S.DIST(-1, TRUE)" to find the probability.


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