Salary of Full Professors The average salary of a male full professor at a public four-year institution offering classes at the doctoral level is $99,685. For al 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 84th percentile salary for the following. Round your answers to the nearest dollar and intermediate z-value calculations to 2 decimal places. Part: 0/2 Part 1 of 2 Male professors The 84th percentile salary for male professors is $

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Salary of Full Professors 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 84th percentile salary for the following. Round your answers to the nearest dollar and intermediate z-value
calculations to 2 decimal places.
Part: 0 / 2
Part 1 of 2
Male professors
The 84th percentile salary for male professors is $
X
Ś
Transcribed Image Text:Salary of Full Professors 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 84th percentile salary for the following. Round your answers to the nearest dollar and intermediate z-value calculations to 2 decimal places. Part: 0 / 2 Part 1 of 2 Male professors The 84th percentile salary for male professors is $ X Ś
Expert Solution
Step 1: Given that

X~N( μ , ?)

μ=99685, ?=5200

Z-score =( x - μ )/?

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