Major league baseball salaries averaged $3.26 million with a standard deviation of $1.2 million in a recent year. suppose a sample of 100 major league players was taken. find the approximate probability that the mean salary of the 100 players was no more than $3.0 million.

The approximate probability that the mean salary of 100 players is no more than $3.0 million is 0.0151.

We follow these steps to arrive at the

We have

Population Mean (μ) = $3.2 million

Sample Mean (X bar) = $3.0 million

Population Standard Deviation (σ) = $1.2 million

Sample Size (n) = 100

We use the following formula to find the Z score with the data listed above:

We can refer to the Z tables or use an online calculator to find an area under the normal curve.

Since we need to find the probability that mean salary is no more than $3.0 million, we need to find the area to the left of the calculated Z score.

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