Statistical Analysis (Unit II)

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

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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

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1.79

2. 26

3. 15

male

1

79

2

26

3

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15

total

120

Female

1. 91

2. 42

3. 35

female

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1

91

2

42

3

35

total

168

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(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

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100

3

177

total

288

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

total

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633.8

male

mean  satisfaction

5.28166667

total

850.9

female

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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

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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

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2

194

3

46

total

288

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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

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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

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2

information  technology

100

3

177

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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

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hourly

163

salaried

125

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intrinsic  satisfaction

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6 and  above

75

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the  probability that the participant is an hourly employee

0.565972222

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probability  that intrinsic satisfaction is 6 or above

0.260416667

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Probability  that this person will be an hourly employee whose intrinsic satisfaction is 6  or more?

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probability

0.1473886

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The numbers of participants who are hourly employees are 163; therefore the probability of choosing a participant who is an hourly employee is given by (163/288) which gives us

0.565972222, the number of employees who have an intrinsic satisfaction of 6 or above are 75, therefore the possibility or probability of picking one who has an intrinsic satisfaction of 6 or above is given by (75/288) which gives us 0.260416667.

Therefore the probability of choosing an hourly participant whose intrinsic satisfaction is 6 or above is given by multiplying the two probabilities which gives us 0.1473886

(i) Calculate the correlation between age and tenure with the company. Explain your results.

correlation

0.00131854

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The correlation between the age and tenure is equal to 0.00131854, high correlation indicates that the variables are highly correlated and the relationship between the two variables is strong, on the other hand low correlation shows that two variables do not have a strong relationship.

According to our outcome of 0.00131854, it shows that there exist no strong relationship between the age and tenure with the company.

References:

Business Source Elite Database Library (2006)

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Michael H. and Ray R. (2001) Mathematics for Economics MIT Press, USA

Sergio J. (1956) Advances in Spatial Econometrics: methodology, tools and applications, Springer publishers, USA

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