Statistical Analysis

No. 150384                        

Statistical Analysis (Unit II)

The data indicates the number of employees in different departments and whether they are female or male, according to the data there are 120 males and 168 female workers, in all there are 288 workers in total. There are three departments indicated by the numbers 1, 2 and 3, and that each department has two positions indicated by the numbers 1 and 2.

 

(a) What is the gender distribution (% females and % males)?

male	120
female	168
male percentage	41.66666667
female percentage	58.33333333

The percentage of males is 41.66667 and the female percentage is 58.33333 which adds up to 100%

(b) What is the “tenure with company” distribution by gender?

The numbers 1, 2 and 3 indicate tenure with company, for both genders the distribution is as follows

Male

1.79

2. 26

3. 15

male
1	79
2	26
3	15
total	120

    

Female

1. 91

2. 42

3. 35

female
1	91
2	42
3	35
total	168

 

 

 

(c) What % of the survey participants are in each department?

Departments are indicated by the numbers 1, 2 and 3, in department one there are 11 participants, in department two there are 100 participants and finally in department three there are 177 participants.

Departments

1. 11
2. 100
3. 177

Total   288

department
1	11
2	100
3	177
total	288

 

(d) What is the mean overall satisfaction by gender?

total		633.8
male
mean satisfaction		5.28166667

	total	850.9
female
mean satisfaction		5.06488095

The mean satisfaction for males is 5.281667 while the mean satisfaction by females is 5.06488095 and the overall satisfaction mean by both genders is 5.155208.

If we choose a person at random from this database:

(e) What is the probability that this person will be between 22 and 49 years old?

The age 22 to 49 years is indicated by the number 2 in the data, to get the probability of the outcome that the person will be between the age of 22 and 49 years then we have to know the number of people who are between the ages. The age of participants is shown below:

Age

1. 48
2. 194
3. 46

	Age
	1	48
	2	194
	3	46
	total	288
probability	0.673611111

Therefore the probability that a person will be between the age of 22 and 49 is given by (194/288). Which in when calculated gives us the probability as 0.673611

 

(f) What is the probability that their overall job satisfaction is 4.7 or lower?

overall satisfaction
4.7 or below	174
probability	0.60416667

The number of participants who have an overall job satisfaction of 4.7 or lower are 174, therefore the possibility of this outcome will be given by (174/288) which will give us a probability of 0.60416667.

(g) What is the probability that this person will be a male in the information technology department?

1	human resource	11
2	information technology	100
3	administration	177
	possibility of IT	0.34722222

 

The number of participants in the information technology department is 100; therefore the probability of this outcome is given by (100/288) which gives you 0.34722222

 

(h) What is the probability that this person will be an hourly employee whose intrinsic satisfaction is 6 or more?



the number of employees
hourly	163
salaried	125
intrinsic satisfaction
6 and above	75
the probability that the participant is an hourly employee
	0.565972222