OMGT6123 Homework #4

You will submit your HW assignment within Canvas in the Assignments area.  Remember to use naming convention detailed in the syllabus.  Word, Excel, screenshots, .jpegs, .pdfs &/or all types of documents can be submitted.

Follow the instructions listed below regarding the expected HW deliverable.

Submit homework by the due date and time.

The same instructions apply for all homework problems. It is vitally important that you do a good job defining the problem, stating assumptions, explaining your analysis, feel free to use graphs, tables, and/or any other means to get your point across. Simply writing an answer down is woefully inadequate (i.e., you will receive no points).

Remember: You are telling a "story" in the attempt to win a contract from a client, do your best to tell the story, win the contract, and get paid (or in this case get an excellent grade!)


Complete the following problems:


1.  In Dr. Schlapfer's OMGT6123 class (n = 67 total students), the average GPA for the midterm exam was 3.11 with a sample standard deviation of 0.45.  Dr. Schlapfer believes that this midterm average differs from the long run (population) mean of 3.25.  It is assumed that the population data is normally distributed.


a. 
She wants to test at a 95% confidence level is this claim about the sample GPA being different than the long run GPA.  Show your process & explain the result.


b.  Does this result change if she wishes to increase the confidence to 99%?  Show your process & explain your answer.



2.  Jennifer is in charge of creating the media for the College of Business Career Center.  Overtime, she has found that recent graduates garner an average salary when graduating of $62,500.  Currently the COB media states this & is also stated in many of the COB ads.  Jen goes on to sample 125 students (n = 125), & the average sample salary that comes from the sample is $62,000 with a sample standard deviation of $2,200.  Jen believes that this sample salary average does not differ from the long run (population) salary mean.  It is assumed that the population data is normally distributed.


a. 
She wants to test at a 95% confidence level is this claim about the sample average salary being different than the population salary mean.  Show your process & explain the result.


b.  Does this result change if she wishes to increase the confidence to 99%?  Show your process & explain your answer.



3.  Rob used a 99% confidence interval to estimate the mean server installation time (days).  A random sample of 222 installations generated the following confidence interval:  (1.22, 3.44).


a.  Using the given information, what is the sampling error for the problem & what is the standard deviation of the sample?

b.  Again, using the given & calculated information, what sample size would be necessary if we wanted to estimate the true mean installation time with the same sampling error but with only 95% confidence?



INSTRUCTIONS FOR THE HW#4 DELIVERABLE


Create a short executive summary presenting the details of each problem you completed. Follow these instructions for the executive summary:


Your work should consist of:

a. A cover sheet with your name and the date.

 

b. A 1-PAGE Executive Summary of your work including explanations, calculations, diagrams, etc. Please feel free to include as much detail as you think necessary but remember you have limited space.

 

c. Executive summaries are expected to be typewritten (i.e., MS-Word, WordPerfect). However, calculations can be handwritten. Clarity and neatness are expected.

 

d. Please refer to the website for further information regarding writing executive summaries. You may use any font and spacing that is reasonable. i.e., 0.25-inch margins and font size 10 are at the low end of reasonable. At a minimum your summary must have section headers & structure (e.g., Introduction, Analysis, Recommendations).  Remember you are presenting this to your boss.

 

e.  Please combine all calculations, spreadsheets, diagrams, graphs, etc., in a section & label it Appendix A. If you are running short on space in your executive summary, you may reference pages in the Appendix. (This may come in handy for certain diagrams, graphs, etc.) It is vitally important that you link your work to the executive summary, i.e., I will NOT go searching for answers, spell them out in your executive summary and show your work in the Appendix!!

You will be graded on both your calculations and your presentation. Calculations will be weighted approximately 75% and your presentation (i.e., the executive summary) will be weighted 25%. Just a reminder, if I can't read it or find it, I can't grade it.

 

A typical HW will have the following parts:

- a cover page with your name and date,

- your executive summary,
- an appendix cover page, and
- your appendix pages.

You may turn in both a Word file and an Excel file (the Excel file would most likely contain your Appendix material).

NOTE: I WANT ONLY 1 (ONE) EXECUTIVE SUMMARY THAT INCLUDES ALL HW PROBLEMS. DO NOT CREATE MORE THAN 1 (ONE) EXECUTIVE SUMMARY!! PLEASE EMAIL ME IF THIS IS NOT CLEAR.