Question 1199971
mean = 32.62
standard deviation = 2.32.


the calculator at <a href = "https://davidmlane.com/hyperstat/z_table.html" target = "_blank">https://davidmlane.com/hyperstat/z_table.html</a> makes this easy.


the results for each questions are shown below:


a.) What is the probability that a financial manager earns between $30 and $35 per hour.


<img src = "http://theo.x10hosting.com/2023/012901.jpg">


the probability is equal to .7181


b.) How high must be hourly rate be to put a financial manager in the top 10% with respect to pay.


<img src = "http://theo.x10hosting.com/2023/012902.jpg">


the hourly rate must be greater than 35.593


c.) For a randomly selected financial manager, what is the probability that the manager earns less than $28 per hour.


<img src = "http://theo.x10hosting.com/2023/012903.jpg">


the probability is equal to .0232


the calculator allows you to work directly with raw scores.
if you need to know how to do this with z-score, let me know.
theo