Statistical Analysis of Employee Bonus Eligibility: Z-Scores and Performance Metrics

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Statistical Analysis of Employee Bonus Eligibility: Z - Scores and Performance Metrics Challenge #2 A lawsuit has been filed against your company by a disgruntled employee. It seems that the bonuses you awarded were flawed and those who were awarded bonuses based on their high transactions only did because they ignored a large percentage of customers who would not have purchased anything. Per the company policy, all customers are to be treated equally. The employees allegedly ignored customers based on gender, ethnicity and age. You cannot afford a lawyer so you are defending yourself in court and based on your knowledge of Statistics, you are going to show the judge that your employees were awarded bonuses correctly. The court wants to review employees with transactions from 80 - 99. I believe there are six employees in this category. Please complete the chart below. You must convert each employee’s transaction score and OppVol into a z - score. You then must identify the area (%) that corresponds to the z - score. Employee Number Employee Name Transaction z - score OppVol z - score 1 2 3 4 5 6 For Transaction, use the mean 6 0 .76 and the standard deviation 1 5 .1 1. For OppVol, use the mean 3 85 . 68 and the standard deviation 38 0 .75. To make the decision below, the employee must be above 70% of their peers in transactions and over 38% in OppVol. If they exceed both metrics, then the employee do es not deserve the bonus. Solution: Below is the snapshot of the table, which I prepared in the excel to proof my findings:
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