3.3 – Discussion: Z Scores

Z-scores have four very important functions as follows:   

1. They divide an acceptably symmetrical curve into known percentages.  
2. They locate individual positions in a distribution very precisely.   
3. They locate positions of two or more individuals in the same distribution very precisely one to the other.   
4. For mathematical purposes, they provide a common scale for disparate interval and/or ratio measures.

As Chief Pilot of a major airline, you are interested in a way to compare pilot performance on an aviation knowledge test. Since there are two different tests that the pilots may take, you want to be able to fairly compare their scores. One of the exams has a score scale from 0 to 150 and another with a score scale of 50 to 300. Describe how you would use z-scores to be able to compare performance of individual pilots. 

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Your company wants to build a new manufacturing facility which will cost $2.5 million for plant and machinery. It will have a net annual income cash flow of $750,000 for the next 10 years.

You could build it in your US location where your total incremental tax rate would be 45%. However you are considering building it in Ireland.

Calculate the after tax present worth of adding a new manufacturing facility in each of the two countries (Ireland and the USA) and determine where it would be better to place the investment. You will need to research tax methods and depreciation rules in Ireland, and compare with those of the US. Use these results to recommend where to make the investment.

Write a report to present and justify your decision. Discuss the effects of the financial issues in the decision process. Present your numerical analysis as an appendix to your report.

Your work will be evaluated for the accuracy of the numerical analysis (4 pts) and the depth and relevance of the various other issues that you have considered in the decision process (4 pts), and finally the quality of writing (2 pts).

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