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The average salary of a male full professor at a public four-year institution of

ID: 3236095 • Letter: T

Question

The average salary of a male full professor at a public four-year institution offering classes at the doctoral level is $99, 685. For a female full professor at the same kind of institution, the salary is $90, 330. If the standard deviation for the salaries of both genders is approximately $5200 and the salaries are normally distributed, find the 91th percentile salary for the following. Round your answers to the nearest dollar and intermediatez-value calculations to 2 decimal places. Source: World Almanac. Part 1 out of 2 Male professors The 91th percentile salary for male professors is $

Explanation / Answer

Z score for 91th percentile = 1.34

Z = (X - mean) / SD

or, 1.34 = (X - 99685) / 5200

or, X = 99685 + 1.34 * 5200

or, X = 106653 (ans)

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