1.Describe in detail the results achieved on the company's test. Ignore other variables for now, just describe the test results. If the company is considering training for the lowest 10% of employees what score would they need to achieve to be exempted from training?

2.Compare the results of the test for both Females and Males. Construct a 95% Confidence Interval for the difference in the test result between Females and Males. What does this imply about relative performance?

3.The company believes that any score above 125 is acceptable. Calculate point estimates for the proportion of Females and the proportion of Males who achieved an acceptable score. Conduct a test to see if there is any difference in the performance of Females and Males according to the proportion of acceptable results.

4.The company is looking at its hiring procedures to make sure they are recruiting acceptably high quality employees. In particular they wish to make sure the average GPA is in the top bracket above 3.0. Conduct a test to see if the company is meeting that standard.

5.If the company is considering using GPA as an appropriate measure for hiring, it would reasonably be expected that GPA would be related to performance on the company test. What can you say about the strenght of the relationship between GPA and test results? How do these results compare to expectations and what does it say about hiring based on GPA?

6.Conduct a test to see if there is any difference on the test performance between employees with and without a higher degree? What does this imply about hiring?

7.All companies are rightly concerned about the income disparity between Males and Females and FringeTech is no different. Is there any evidence in the data that Males are earning more than Females on average?

8.Employees who have earned a higher degree might reasonably be expected to earn a higher income. Is there any evidence in the data that employees with a higher degree earn more than those without one?

9.It might reasonably be assumed that income and the results on the test are related to each other. Fully describe the relationship between those two variables. What income would you expect a person who scored a perfect 225 to be earning?

(6 Marks)

10.In developing an overall understand of income payments, each of the factors included in the data set might be considered to have an impact. Conduct a regression analysis to determine the extent to which income can be explained by the other variables as well. Fully describe the results including all necessary tests. Do you believe there is anything in the relationship between the independent variables which may affect these results? Are the results consistent with the other tests you have conducted?

11.Adjust the model from the previous question based on your results and re-do the regression. Fully explain the new results. Does this differ in anyway to the previous question.

Table 1: Sample Results Higher Employee Test Income Degree Number Result Gender ($000) (Y=1, N=0) Age GPA 1 163 F 94.1 0 21 3.07 2 148 F 69.4 30 2.82 3 163 M 83.1 1 30 2.89 4 142 F 81.7 0 26 3.02 5 173 F 72.1 O 31 2.98 6 168 F 90.1 0 29 3.02 7 178 M 95.4 O 35 3.04 8 154 M 128.2 49 3.55 LO 155 F 84.4 39 3.35 10 163 F 77.5 O 29 2.9