Executive Summary of Quantitative Methods for
Accounting & Finance
The
Australian organization wants to expand its business into different parts of
Asia. The organization wants to provide new products to its customers. Along
with new products the organization has the aim to launch a new product line as
well. In order to expand the business into different countries, it is important
to analyze various factors regarding the markets where the corporation wants to
expand its business. The descriptive statistics of shoe prices in the three
countries have been provided. The average price of shoes is 305, 265, and 283.
The standard error is 9.69, 13.01, and 15.04. The median shoe price is 303, 250,
and 282 whereas the mode of the price is 314, 244, and 367.
Table
of contents
Executive Summary. 2
Business Problem.. 3
Statistical problem.. 3
Analysis. 4
Pie Charts. 4
Cross-classification table of
frequencies. 4
Descriptive Statistics of prices for
men and women shoes. 5
Descriptive statistics of prices for
the three countries. 7
Hypothesis testing. 9
The relationship between price and
cost 9
Conclusion. 11
Business Problem of Quantitative Methods for
Accounting & Finance
The Australian
organization wants to expand its business into different parts of Asia. The
organization wants to provide new products to its customers. Along with new
products the organization has the aim to launch a new product line as well. In
order to expand the business into different countries, it is important to
analyze various factors regarding the markets where the corporation wants to
expand its business. The organization for analyzing the characteristics of the
market collected data of 99 products. The data which is collected includes
information about gender, cost of production, prices of shoes, and the
countries where the shoes are produced. The analysis of data will help the
corporation to take a decision regarding business expansion. In order to
analyze the data, various statistical techniques have been utilized.
Statistical problem of Quantitative Methods for
Accounting & Finance
In order to analyze the
data, various statistical techniques have been utilized. For understanding the
relationship between two variables the regression analysis has been used. The
statistical approaches such as mean median mode and standard deviation have
been used for analyzing the data. For testing the hypothesis t-test has been
used.
Analysis of Quantitative Methods for Accounting
& Finance
Pie Charts
Figure 1: Pie Charts
In the above pie charts,
the average price of male and female shoes are presented. From the pie chart,
it is pretty clear that the average price of female shoes is less than the
average price of male shoes. The average female shoe price is $281.54 whereas
the average price of the male shoe is $289.16. The second pie chart shows the
average price of shoes in three countries. The highest average price of shoes
is in Thailand. The second highest shoe price is in the country of China.
Singapore has the lowest average price of shoes in the three countries.
Cross-classification
table of frequencies of Quantitative Methods for Accounting & Finance
Table 1: Cross-classification
table of frequencies
Count of GENDER
|
Column Labels
|
|
|
|
Row Labels
|
Thailand
|
Singapore
|
China
|
Grand Total
|
Female
|
18
|
25
|
11
|
54
|
Male
|
18
|
10
|
17
|
45
|
Grand Total
|
36
|
35
|
28
|
99
|
From the above table, it
can be analyzed how many male and female products are made in each country. In
Thailand, there is an equal number of male and female products. In Singapore, there are more female products
than male products. There are 25 female products and 10 male products. However,
in China, there are more male products than female products. There are 11
female products and 17 male products. So that data have 36 Thailand products,
35 Singapore products, and 28 china products.
Figure 2: Gender & Country
In the above bar chart,
the female and male products in the three countries can be seen. Singapore has
the highest female products whereas Thailand has the highest male products.
Descriptive Statistics of prices for men and women
shoes
Table 2: Descriptive Statistics-Women
Shoes
Women Shoe Prices
|
|
|
Mean
|
281.537037
|
Standard Error
|
10.5211415
|
Median
|
277
|
Mode
|
353
|
Standard Deviation
|
77.31428459
|
Sample Variance
|
5977.498602
|
Kurtosis
|
-1.273100665
|
Skewness
|
-0.159697077
|
Range
|
249
|
Minimum
|
151
|
Maximum
|
400
|
Sum
|
15203
|
Count
|
54
|
In the above table, the
descriptive statistics of women's shoe prices have been provided. The average
price of women's shoe prices is 281.53. The standard error is 10.52. The median
shoe price is 277 whereas the mode of the price is 353. The standard deviation
of the price is 77.31. The maximum price of shoes is 400 whereas the lowest
price of shoes is 151.
Table 3: Descriptive Statistics-men
Shoe
Men Shoe Prices
|
|
|
Mean
|
289.1555556
|
Standard Error
|
10.05735851
|
Median
|
294
|
Mode
|
244
|
Standard Deviation
|
67.46681189
|
Sample Variance
|
4551.770707
|
Kurtosis
|
-0.498059022
|
Skewness
|
-0.486442185
|
Range
|
243
|
Minimum
|
153
|
Maximum
|
396
|
Sum
|
13012
|
Count
|
45
|
In the above table the
descriptive statistics of men shoe prices have been provided. The average price
of women shoe prices is 289.15. The standard error is 10.05. The median shoe
price is 294 whereas the mode of the price is 244. The standard deviation of the
price is 67.46. The maximum price of shoes is 396 whereas the lowest price of
shoes is 153.
Figure 3: Box Plots
The box plot shows the
distribution of the data on the basis of the 5 number summary. From the above
box plots of female and male shoe prices the minimum, maximum, first quartile,
third quartile, and median values can be seen. the median value of female shoes
is 277 whereas the median value of male shoes is 294 which s clearly understood
from the box plot graphs.
Descriptive statistics of prices for the three
countries
Table 4: Descriptive
Statistics-Thailand
Thailand
|
|
|
Mean
|
305.1111111
|
Standard Error
|
9.698697162
|
Median
|
303.5
|
Mode
|
314
|
Standard Deviation
|
58.19218297
|
Sample Variance
|
3386.330159
|
Kurtosis
|
0.387016153
|
Skewness
|
-0.608746787
|
Range
|
246
|
Minimum
|
154
|
Maximum
|
400
|
Sum
|
10984
|
Count
|
36
|
Table 5: Descriptive Statistics-Singapore
Singapore
|
|
|
Mean
|
265.8285714
|
Standard Error
|
13.01056363
|
Median
|
250
|
Mode
|
244
|
Standard Deviation
|
76.97153244
|
Sample Variance
|
5924.616807
|
Kurtosis
|
-1.290329532
|
Skewness
|
0.174497623
|
Range
|
248
|
Minimum
|
151
|
Maximum
|
399
|
Sum
|
9304
|
Count
|
35
|
Table 6: Descriptive Statistics-China
China
|
|
|
Mean
|
283.1071429
|
Standard Error
|
15.04080335
|
Median
|
282.5
|
Mode
|
367
|
Standard Deviation
|
79.58845035
|
Sample Variance
|
6334.321429
|
Kurtosis
|
-1.198149183
|
Skewness
|
-0.32174834
|
Range
|
243
|
Minimum
|
153
|
Maximum
|
396
|
Sum
|
7927
|
Count
|
28
|
In the above tables, the
descriptive statistics of shoe prices in the three countries have been
provided. The average price of shoes is 305, 265, and 283. The standard error
is 9.69, 13.01, and 15.04. The median shoe price is 303, 250, and 282 whereas
the mode of the price is 314, 244, and 367.
Figure 4: Box
Pots-Countries
As discussed earlier the
box plot shows the distribution of the data on the basis of the 5 number
summary. The median shoe price is 303, 250, and 282 which can be seen from the
above box plots.
Hypothesis testing
of Quantitative Methods for
Accounting & Finance
Table
7: T-Test
T-Test: Two-Sample Assuming Equal Variances
|
|
|
|
|
|
|
Variable 1
|
Variable 2
|
Mean
|
281.537037
|
289.1555556
|
Variance
|
5977.498602
|
4551.770707
|
Observations
|
54
|
45
|
Pooled Variance
|
5330.77667
|
|
Hypothesized Mean Difference
|
0
|
|
df
|
97
|
|
t Stat
|
-0.516964621
|
|
P(T<=t) one-tail
|
0.30317881
|
|
t Critical one-tail
|
1.66071461
|
|
P(T<=t) two-tail
|
0.60635762
|
|
t Critical two-tail
|
1.984723186
|
|
The above table is
providing information regarding the T test with two samples assuming equal
variances. Through the results of the t-test, it is evident that the average
price of female shoes is less than the average price of male shoes.
The relationship
between price and cost of Quantitative Methods for Accounting & Finance
Table
8: Regression Analysis
SUMMARY OUTPUT
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Regression Statistics
|
|
|
|
|
|
|
|
Multiple R
|
0.212802958
|
|
|
|
|
|
|
|
R Square
|
0.045285099
|
|
|
|
|
|
|
|
Adjusted R Square
|
0.035442677
|
|
|
|
|
|
|
|
Standard Error
|
71.43804348
|
|
|
|
|
|
|
|
Observations
|
99
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
ANOVA
|
|
|
|
|
|
|
|
|
|
df
|
SS
|
MS
|
F
|
Significance F
|
|
|
|
Regression
|
1
|
23480.77657
|
23480.78
|
4.601011859
|
0.03445056
|
|
|
|
Residual
|
97
|
495029.2234
|
5103.394
|
|
|
|
|
|
Total
|
98
|
518510
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Coefficients
|
Standard Error
|
t Stat
|
P-value
|
Lower 95%
|
Upper 95%
|
Lower 95.0%
|
Upper 95.0%
|
Intercept
|
254.9019614
|
15.76195272
|
16.17198
|
2.74218E-29
|
223.6188483
|
286.1851
|
223.6188483
|
286.1850744
|
COST
|
0.244599066
|
0.114032362
|
2.144997
|
0.03445056
|
0.018276394
|
0.470922
|
0.018276394
|
0.470921738
|
|
|
|
|
|
|
|
|
|
In the above table, the
results of the regression analysis are provided. The regression analysis has
been performed to identify whether there is a relationship between the cost of the
product and the price of the shoes or not. The p-value is less than 0.05 which
indicates that there is a significant relationship between the cost of
production and price of the shoes. As the p-value is less than 0.05 the null
hypothesis will be rejected.
Figure 5: Scatter Plot
Conclusion of Quantitative Methods for
Accounting & Finance
It is concluded that In
Thailand there is an equal number of male and female products. In Singapore, there are more female products
than male products. There are 25 female products and 10 male products. However,
in China, there are more male products than female products. There are 11
female products and 17 male products. So that data have 36 Thailand products,
35 Singapore products, and 28 china products. The regression analysis has been
performed to identify whether there is a relationship between the cost of the product
and the price of the shoes or not. The p-value is less than 0.05 which indicates
that there is a significant relationship between the cost of production and
price of the shoes. As the p value is less than 0.05 the null hypothesis will
be rejected. It is recommended to the
corporation to focus on the latest trends that persist in the markets of the
three countries. The corporation should set competitive prices and meet the
needs of its customers.