Salaries for various positions can vary significantly depending on whether or not the company is in the public or private sector. The U.S. department of labor posted the 2007 mean salary for human resource managers employed by the federal government, as &76, 503. Assume the annual salaries for this type of job are normally distributed and have a standard deviation of $8850.

Question

Salaries for various positions can vary significantly depending on whether or not the company is in the public or private sector.  The U.S. department of labor posted the 2007 mean salary for human resource managers employed by the federal government, as &76, 503.  Assume the annual salaries for this type of job are normally distributed and have a standard deviation of $8850.

What is the probability that a randomly selected human resource manager received over $100,000 in 2007?

A sample of 20 human resource managers is taken and annual salaries are reported.  What is the probability that the sample mean annual salary falls between $70,000 and $80,000

PsyDAG · Answer

Z = (score-mean)/SD

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability for that Z score.

For the sample mean,

Z = (score-mean)/SEm

SEm = SD/√n

Use same table for the Z scores.

Corinne · Answer

Thank you! I was able to complete the first question. Is SE Standard Error? and m=mean? Thank you again

PsyDAG · Answer

Yes and Yes.

Stats Student · Answer

What do you mean by score?