The Economic Policy Institute reports that the average entry-level wage for male college graduates is $21.22 per hour and for female college graduates is $19.49 per hour. The standard devation for male graduates is $3.84 and for female graduates is $2.97. Assume wages are normally distributed. If 26 female graduates are chosen, what is the probability that the sample average entry-level wage is at least $20.34. (Round to four decimal points)

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The Economic Policy Institute reports that the average entry-level wage for male college graduates is $21.22 per hour and for female college graduates is $19.49 per hour. The standard devation for male graduates is $3.84 and for female graduates is $2.97. Assume wages are normally distributed.

If 26 female graduates are chosen, what is the probability that the sample average entry-level wage is at least $20.34. (Round to four decimal points)

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Solution:

Let X be the wages of female graduates.

From the given information, Y follows normal distribution with mean µ=$19.49 per hour and a standard deviation σ=$2.97.

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