Congratulations. You have just been hired as the new CEO for Handback Industries. You were excited until you started and within first the few days, the director of HR came into your office and indicated that the employees were threatening to strike and go to the media if things were not fixed immediately. Since you were successful in your Statistics course taken during the Summer of 2013, you decide that you will assist the HR Director with her analysis.
Problem 1: The employees have indicated that 95% of employees in one of the departments are receiving higher salaries than any other department because their supervisor parties with them each weekend. Some employees only have an hourly rate which you have to calculate their yearly salary before completing the calculations.
Please calculate the 95% standard deviation for each department and indicate for me if any department is receiving on average $2k or more on the high end.
|
Department 1
|
Department 2
|
Department 3
|
Department 4
|
Department 5
|
|
$22,000
|
18,550
|
B
|
22600
|
19150
|
|
$30,450
|
27,050
|
16700
|
29975
|
21555
|
|
$23,780
|
26,785
|
30550
|
23800
|
27950
|
|
A
|
25050
|
29960
|
B
|
27550
|
|
$27,500
|
26557
|
A
|
27700
|
25550
|
A - $10/hr @ 40 hrs week @ 50 weeks a year
B - $12/hr @ 35 hrs wee @ 52 weeks a year
Is any department receiving on average $2k or more on the high end of the standard deviation using standard deviation at 95%? If so, which department and be sure to explain your answer.
Problem 2:
Find the five number summary for the data for all five departments. Consider all five departments as one department.
Problem 3:
a) Find the Q3 and median for Departments 1 and 3 individually.
b) Which department has a higher Q3?
c) Which department has a higher median?
Problem 4:
a) Find the Q1 and median for Departments 2 and 4 individually.
b) Which department has a higher Q1?
c) Which department has a higher median?