Microsoft Word - BUS XXXXXXXXXXAssignment Description draft 3 BUS708 Statistics and Data Analysis Statistical Modelling Assignment Trimester 1, 2018 1 OVERVIEW OF THE ASSIGNMENT This assignment will...

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Answered Same DayMay 07, 2020BUS708University of the Sunshine Coast

Answer To: Microsoft Word - BUS XXXXXXXXXXAssignment Description draft 3 BUS708 Statistics and Data Analysis...

Pooja answered on May 09 2020
145 Votes
Section 1 Introduction
Part a
The main objective is to analyze the salary amount on the basis of gender and occupation code. Gift or donation deductions is also considered. The numeric in graphical representation helps to understand the relationship of salary amount with gender, occupation code, and gift amount. The top four occupations are identified on the basis of median salary. The proportion of gender in the stock for occupation is analyzed. Hypothesis testing is used to test whether the proportion of machinery operators and drivers who are male i
s more than 80%. Another area of concern is to know if there is any significant difference in the salary amount between males and females.
The objective of the second data set is to analyze the linear relationship between age and blood pressure.
Part b
The data set 1 contains 4 variables namely gender, occupation code, salary amount, and gift deduction. This data is obtained by the method of secondary research. Gender and occupation code is measured by the nominal scale of measurement. Gender is categorized as either male or female. Occupation code has 10 categories namely occupation not listed (0), manager (1), professional (2), technical and trade worker (3), community and personal service worker (4), clerical and administrative worker (5), sales worker (6), machinery operator and driver (7), laborers (8), consultant apprentices and type not specified or not listed (9). Salary amount and give deductions are numeric variables which are measured by ratio scale of measurement. A display of first 5 cases of the data is given below.
    Gender
    Occ_code
    Sw_amt
    Gift_amt
    Female
    2
    32733
    0
    Female
    5
    13445
    0
    Female
    1
    50507
    109
    Male
    0
    0
    0
    Female
    9
    20489
    0
Part c
The second data that is collected by the method of primary research. A survey regarding Gender, age and blood pressure is social media platform (Facebook and LinkedIn). The response of 50 individuals which is randomly selected is recorded on Google Drive. Gender is a nominal variable which has two categories of either male or female. Age and blood pressure is measured by ratio scale of measurement.
Section 2: Descriptive Statistics
Part a
The bar graph is an appropriate display to know the relationship between Gender and occupation code. The bar graph is an appropriate graphical representation as both the variables are measured by the nominal scale of measurement. Kuzma, J. W., & Bohnenblust, S. E. (1992). 
The proportion of males is comparatively higher with occupation code occupation not listed (0), manager (1), technical and trade worker (3), machinery operator and driver (7), laborers (8), consultant apprentices and type not specified or not listed (9). The proportion of females is comparatively higher with occupation code community and personal service worker (4), clerical and administrative worker (5), sales worker (6). There is not a much significant difference in the proportion of males and females with occupation code as professional (2).
Part b
The bar chart representing the average salary amount for male and female is given below.
It is evident that average salary amount for males is comparatively higher as compared to females.
Part c
The descriptive statistics for salary amount for males and females is given below.
     
    Sw_amt_Female
    Sw_amt_male
    Mean
    31768.50976
    57830.74026
    Standard Error
    1518.495799
    2886.24626
    Median
    26895
    46312
    Mode
    0
    0
    Standard Deviation
    32603.48748
    67008.17127
    Sample Variance
    1062987396
    4490095017
    Kurtosis
    11.39628327
    35.94743051
    Skewness
    2.118070349
    4.042823291
    Range
    308183
    839840
    Minimum
    0
    0
    Maximum
    308183
    839840
    Sum
    14645283
    31170769
    Count
    461
    539
The average salary for males is comparatively high with the value of $57830.740 as compared to that of females with the value of $31768.50. The high value of standard deviation for both male and female salary is an indication that their mean is not reliable. Hatcher, L. (2013). 
From the value of skewness, I can say that the distribution of salary for both males and females is positively skewed. This indicates that there are very few meals as well as females with high salary. For skewed distribution, the median is considered as the best measure of Central Tendency. The median salary for male and female is 26895 dollars and 46312 dollars respectively. Hatcher, L. (2013). 
Part d
For two variables measured by ratio scale of measurement, a scatter plot is an appropriate display. The scatter plots for salary and gift deduction is given below.
There is almost no linear relationship between salary amount and gift deduction. All points are random with no specific direction. Samuels, M. L., Witmer, J. A., & Schaffner, A. A. (2012). 
Section 3: Inferential Statistics
Part a
The top four occupation on the basis of median salary is listed in the table below.
    Top 4 occupations based on median salary
    2
    Professionals
    1
    Managers
    3
    Technicians and Trades Workers
    7
    Machinery operators and drivers
The proportion of gender considering these top four occupations is summarized in the table below.
    Count of Gender
    Column Labels
    
    
    
    
    Row Labels
    1
    2
    3
    7
    Grand Total
    Female
    39.02%
    48.73%
    15.69%
    7.14%
    33.33%
    Male
    60.98%
    51.27%
    84.31%
    92.86%
    66.67%
    Grand Total
    100.00%
    100.00%
    100.00%
    100.00%
    100.00%
The proportion of males is higher as compared to females for the occupation of Managers, Technicians and Trades Workers and machinery...
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