Question

The average salary for a first-year teacher is $27,989. If the distribution is approximately normal with a standard deviation of $3250. If the z-score is 0.34. What salary corresponds to the z-score

Answer 1

Answer: $29,094

If needed, delete the comma and/or the dollar sign.

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Work Shown:

mu = 27989 = population mean

sigma = 3250 = population standard deviation

z = (x-mu)/sigma

z*sigma = x-mu

x = z*sigma + mu

x = 0.34*3250 + 27989

x = 29,094

The salary of $29,094 corresponds to the z score of 0.34.

This indicates the salary $29,094 is exactly 0.34 standard deviation units above the mean.