Statistics: Analysis of Gender Gap in Salary

Running head: STATISTICS
Statistics
Name of the Student:
Name of the University:
Author’s Note:

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Table of Contents
Section 1: Introduction:..............................................................................................................2
Answer 1.a)............................................................................................................................2
Answer 1. b)...........................................................................................................................2
Answer 1. c)...........................................................................................................................2
Section 2: Descriptive Statistics.................................................................................................3
Answer 2. a)...........................................................................................................................3
Answer 2. b)...........................................................................................................................3
Answer 2. c)...........................................................................................................................4
Answer 2. d)...........................................................................................................................4
Section 3: Inferential Statistics...................................................................................................5
Answer 3.a)............................................................................................................................5
Answer 3.b)............................................................................................................................6
Answer 3. c)...........................................................................................................................7
Answer 3. d)...........................................................................................................................8
Section 4: Discussion and Conclusion.......................................................................................9
Answer 4. a)...........................................................................................................................9
Answer 4. b)...........................................................................................................................9
References:...............................................................................................................................11

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Section 1: Introduction:
Answer 1.a)
The data set is collected from the Australian Taxation Office (ATO). The data set
would help to find the gender gap of salary between men and women. The reasons of gender
gap generate the discrimination of hiring in the job. The salary as well as occupation
according to the different gender varies significantly. The data set summarises the analysis
regarding job profile of women and men in different industries. Their salary or wage and
donation or gift amounts. We considered the data file as “College data”. The data set includes
totally 1000 samples.
The research question is:
“Is there any difference of the average salary amount between male and females in data
set2?” (Dietl et al. 2012).
Answer 1. b)
The data set 1 is a secondary data. The data is not collected by researcher himself.
ATO has delivered the data to the researcher for analysis.
The data set have a total of 4 variables. These are Gender (Sex), Occ_code
(Salary/wage occupation code), sw_amt (Salary/wage amount) and Gift_amt (Gifts or
dination deductions). Here, salary/wage amount and Gift_amt are numerical variable as these
have numerical values. Gender is a nominal (Categorical) variable having two levels “Male”
and “Female” (Dietl et al. 2012). Occupation code of salary/wage is also a nominal variable
which is transformed in numerical variables such as Sales workers implies 6.
Table 1: The first five cases of data set 1 are shown below

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Answer 1. c)
Not only that, in the second part, the data of only gender type and salary/wage is
tabulated with the help of survey. This second data set is named as “College” data. The data
is collected by random sampling method. The simple data collection method randomly had
received the responses from 100 males and females of the college. Out of them, only 63
people, responded about their amount of salary.
The data set is collected with the help of ground survey with a simple questionnaire of
two questions: 1) “What is your gender?” 2) “What is your salary amount?”.
The data is primary in nature to the researcher. The data set involves one numerical
(salary/wage) and one categorical (Gender) variable.
Section 2: Descriptive Statistics
Answer 2. a)
Figure 1: Grouped bar chart of Gender and Occupational code
0 1 2 3 4 5 6 7 8 9
0
20
40
60
80
100
120
140
Fre que ncie s of type s of occupati on ge nde r wise
Female
Male
Types of Occupation
Frequencies
(Jelen 2010)
The graph shows that the number of female workers is higher for two occupations- “Clerical
and Administrative workers” and “Professionals”. On the other hand, the number of male
workers is higher for two occupations- “Technicians and Trade Workers” and
“Professionals”.