Calculus and Above
Calculus Questions? Ask a Mathematician for Answers ASAP
Thank you for using the site, and thank you for requesting me.
Can you post the research question and data that you would like to use for this?
Ok, no problem. The data file just appeared on my end, so I have that downloaded now.
Is the data in the Excel file from a real source, or it is hypothetical data?
Ok, give me a few minutes to look over the research study and I'll get back to your shortly.
Ok, here's what I think we should do with this...
The data provided in the study paper isn't quite sufficient to perform a hypothesis test as neither the raw data nor the various standard deviations are available. I would suggest that we create reasonable hypothetical standard deviation values, and then perform a test comparing the overall mean salary for males with the overall mean salary for females.
To do this, you will need to change the wording of your hypotheses slightly. I would phrase them as follows:
H0: There is no difference between the mean salaries for males and females in leadership positions within the Thompson Health Systems Organization
H1: There is a statistically significant difference between the mean salaries for males and females in leadership positions within the Thompson Health Systems Organization
As long as your instructor won't object to changing the wording (I'm always careful with these kinds of assignments when they refer to previous work, i.e. "developed for Week 2"), then we can proceed with this.
Yes, it does.
The way that it was originally written speaks a bit toward causation, which is notoriously difficult to prove.
A better approach would be to hypothesize that the variables are independent (H0) or dependent (H1), and then perform a Chi-Square Test of Independence. There are two potential problems with that approach though. First, you may not have yet covered this test in your course, so it might not be appropriate for you to use yet. Second, the data that we have available to us does not lend itself to such a test.
I'll make alterations as needed and get this written up for you as quickly as I can.
Ok, no problem. I'll have it posted for you well before Sunday.
Ok, sounds good.
Here is the hypothesis test:
Please feel free to ask if you have any questions about this solution, and please let me know if your instructor gives you any feedback that requires making any alterations. I'll be happy to do what I can to address any issues.