+
A LAWSUIT HAS BEEN FILED AGAINST YOUR COMPANY BY A DISGRUNTLED

A LAWSUIT HAS BEEN FILED AGAINST YOUR COMPANY BY A DISGRUNTLED

Rating:
Rating
(0)
Author: Christine Farr
Description:

http://theperfecthomework.com/a-lawsuit-has-been-filed-against-your-company-by-a-disgruntled-employee-it-seems-that-the-bonuses-you/

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.
 
For Transaction, use the mean 60.76 and the standard deviation 15.11.
For OppVol, use the mean 385.68 and the standard deviation 380.75.
 
Formula:
x = raw score “value”
 = standard deviation
 = mean
 
Employee Number

Employee Name

Transaction

z-score

OppVol

z-score

1

M. Davis

81

 
 

52

 
2

M. Mayo

82

 
 

30

 
3

L. Endsoy

86

 
 

861

 
4

C. McMillion

88

 
 

173

 
5

S. Reda

95

 
 

258

 
6

J. Dixon

96

 
 

1050

 
Using the z calculated, we then find corresponding p-value from standard normal table
Employee Number

Employee Name

Transaction

p-value

OppVol

p-score

1

M. Davis

81

1.34 = 0.9099 = 90.99%

52

-0.88 = 0.1894 = 18.94%

2

M. Mayo

82

1.41 = 0.9207 = 92.07%

30

-0.93 = 0.1762 = 17.62%

3

L. Endsoy

86

1.67 = 0.9525 = 95.25%

861

1.25 = 0.8944 = 89.44%

4

C. McMillion

88

1.80 = 0.9641 = 96.41%

173

-0.56 = 0.2877 = 28.77%

5

S. Reda

95

2.27 = 0.9884 = 98.84%

258

-0.34 = 0.3669=36.69%

6

J. Dixon

96

2.33 = 0.9901 = 99.01%

1050

1.74 = 0.9591 = 95.91%

 
 
 
 
 
 
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 does not deserve the bonus.
 
1.     Did Employee #1 deserve the bonus? NO
2.     Did Employee #2 deserve the bonus? NO
3.     Did Employee #3 deserve the bonus? YES
4.     Did Employee #4 deserve the bonus? NO
5.     Did Employee #5 deserve the bonus? NO
6.     Did Employee #6 deserve the bonus? YES
7.     Did the majority of the employees from the sample deserve the bonus?  If yes, you won the case.


(more)
See More
Try a College Course Free

Sophia’s self-paced online courses are a great way to save time and money as you earn credits eligible for transfer to over 2,000 colleges and universities.*

Begin Free Trial
No credit card required

25 Sophia partners guarantee credit transfer.

221 Institutions have accepted or given pre-approval for credit transfer.

* The American Council on Education's College Credit Recommendation Service (ACE Credit®) has evaluated and recommended college credit for 20 of Sophia’s online courses. More than 2,000 colleges and universities consider ACE CREDIT recommendations in determining the applicability to their course and degree programs.

Tutorial