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Statistics / Elementary Statistics: A Step By Step Approach 9 / Chapter 6.2 / Problem 16E

Elementary Statistics: A Step By Step Approach | 9th Edition | ISBN: 9780073534985 | Authors: Allan Bluman

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Salary of Full-Time Male ProfessorsThe average salary of a

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QUESTION:

Problem 16E

Salary of Full-Time Male ProfessorsThe 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 80th percentile salary for male professors and for female professors.

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QUESTION:

Problem 16E

Salary of Full-Time Male ProfessorsThe 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 80th percentile salary for male professors and for female professors.

ANSWER:

Solution:

Step 1 of 2:

From the given problem we have

For men:

The mean $\mu{}=99685$

The standard deviation $\sigma{}=5200$

For women:

The mean $\mu{}=90330$

The standard deviation $\sigma{}=5200$

We have to find the 80th percentile salary for male professors and for female professors.

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