Although women make up the majority of nurses, male nurses on average make more

ID: 3060823 • Letter: A

Question

Although women make up the majority of nurses, male nurses on average make more than women do. A 2013 report showed that in hospitals, male nurses are bringing in more money per year than female nurses and this disparity increases when we consider ambulatory/outpatient care. If nurses salaries are normally distributed, and a female's salary has a mean of $55,786 with a standard deviation of $4600 and a males salary is $59,686 with a standard deviation of $5100 answer the following: A. If you are a female nurse, what is the probability that you make more than the average male nurse? B. If you are a male nurse, what is the probability that you make less than the average female nurse?

Explanation / Answer

here let female salary is A and male salary is B

therefore mean difference in salary =E(A) -E(B) =55786-59686 =-3900

and std deviation =(46002+51002)1/2 =6868.0419

a). If you are a female nurse, what is the probability that you make more than the average male nurse:

If you are a male nurse, what is the probability that you make less than the average female nurse: P(X>0) =0.2851

for normal distribution z score =(X-)/ here mean= = -3900 std deviation == 6868.0419

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Although women make up the majority of nurses, male nurses on average make more

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