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?