Project #36730 - PROBAbility/Statistics

In your report make sure all the questions are answered and addressed explicitly, and also add your critical evaluation of the situation and the analysis method used to answer these questions.

Question 1: Demand for systems analysts in the consulting industry is greater than ever. Graduates with a combination of business and computer knowledge—some even from liberal arts programs—are getting great offers from consulting companies. Once these people are hired, they frequently switch from one company to another as competing companies lure them away with even better offers. One consulting company, D&Y, has collected data on a sample of systems analysts with undergraduate degrees they hired several years ago. The data are in the file Retention.xlsx. The variables are as follows:

 Variable Description StartSal Employee's starting salary at D&Y OnRoadPct Percentage of time employee has spent on the road with clients StateU Whether the employee graduated from State University (D&Y's principal source of recruits) CISDegree Whether the employee majored in Computer Information Systems or a similar computer-related area Stayed3Yrs Whether the employee stayed at least three years with D&Y

D&Y is trying to learn everything it can about retention of these valuable employees. You can help by solving the following problems and then, based on your analysis, presenting a report to D&Y.

I. Although starting salaries are in a fairly narrow band, D&Y wonders whether they have anything to do with retention.

a. Find a 95% confidence interval for the mean starting salary of all employees who stay at least three years with D&Y. Do the same for those who leave before three years.

b. Among all employees whose starting salary is below the median (\$37,750), find a 95% confidence interval for the proportion who stay with D&Y for at least three years. Do the same for the proportion of employees which their starting salary was above median (\$37,750) and stayed for at least three years. Compare the intervals and comment on it.

II. D&Y wonders whether the percentage of time on the road might influence who stays and who leaves.

a. Find a 95% confidence interval for the percentage of time on road of all employees who stay at least three years with D&Y. Do the same for those who leave before three years.

b. Among all employees whose percentage of time on road is below the median (%54), find a 95% confidence interval for the proportion who stay with D&Y for at least 3 years. Do the same for all employees whose percentage of time on road is above the median (%54) and who stay with D&Y for at least 3 years. Compare the intervals and comment on it.

III. State University's students, particularly those in its nationally acclaimed CIS area, have traditionally been among the best of D&Y's recruits. But are they relatively hard to retain? Find one or more relevant confidence intervals to help you make an argument one way or the other.

 Subject Mathematics Due By (Pacific Time) 07/29/2014 08:00 pm
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