# Quantitative Methods for Accounting & Finance Case Study,

**TSTA 101– Quantitative Methods for Accounting & Finance (worth 20%) **

**Case Study, An Individual Assignment, **

**Structure of the assignment:**

Your report must include the following sections, respectively:

(100 words). This section include:__Executive Summary__- the primary purpose of the study
- the general methodology used
- the significant findings of each section and general conclusions ●

with page numbers__Table of Contents__which is restatement of the primary purpose in business language.__Business Problem__includes methods you have used to do your analysis.__Statistical problem__: This section should present the answers to all the questions.__Analysis__: This section should briefly review and summarize the inference(s). Also indicate the limitations of the results and your recommendations for action (based on what you have found in your study). In other words, give an overall conclusion which combine all of the two parts of the questions. Be clear in the conclusion that you draw from your analysis, and provide useful suggestions to the company’s CEO to understand what kind of products need to be produced by the new production line.__General Conclusion__

**IMPORTANT:**

- It is compulsory for all students to submit their assignments (only final version) to Turnitins via Moodle
submitting the hard copy in the lecture. Then an ‘originality report’ will automatically be sent to the Lecturer. Otherwise your assignment will not be marked and you will be awarded a ZERO for this assessment task.__BEFORE__ - You only need to submit your assignment to Turnitin via Moodle before the due date.

**PRESENTATION OF ASSIGNMENT**

- Each part requires an
**output**from any statistical computer package (Excel). The statistical output must be provided. - Your report can be maximum 1500 words (including tables and figures), penalties will be applied if the report is longer than this.
- Set the font to Times New Roman, size to 12 and line spacing 1.5 for your report.
- Do not present the data in your assignment.
- Correct grammar and spelling is important.
- Insert an assignment cover sheet/ signed as own.
- Tables/graphs should be properly prepared, numbered and labelled.
- No broken table or graph across two pages.
- Page number is necessary.

**Summary of Marking Guide**

** **

Marks awarded will be based on format (10%) and analysis (90%).

Total |
100 |

Format |
10 |

Analysis |
90 |

Executive Summary | 10 |

Business Report | 5 |

Statistical problem | 5 |

Part 1 question 1 | 5 |

Part 1 Question 2 | 10 |

Part 2 Question 1 | 10 |

Part 2 Question 2 | 10 |

Part 3 Question 1 | 15 |

Part 3 Question 2 | 10 |

General Conclusion | 10 |

# ANALYSIS

An Australian manufacturing company is keen to develop new products and develop new product line of shoes so that the company can expand into Asian markets more than before. The data have been collected for 99 products from the market. The data are in an excel file named “SHOES”. The file includes:

**PRICE: **Price of the shoes in dollars.

**GENDER: **1 for Female product and 2 for Male product.

**COUNTRY: **the country in which the shoes is produced: 1 made in Thailand, 2 made in Singapore and 3 made in China.

**COST: **Production cost of the shoes in dollars.

** **

**QUESTIONS**

__Part 1:__

- Construct a pie chart for men and women shoes. Construct a pie chart for the three countries- Thailand, Singapore and China. Present your findings.
- Construct a cross-classification table of frequencies between gender and country. Plot a vertical bar chart of frequency (Y variable) and gender (X variable), then group the bar charts of genders for three countries and comment on the relationship between gender and country

* *

__Part 2:__

- Calculate the Mean, Median, Mode, Standard Deviation and Coefficient of Variation, for prices for men and women shoes, separately. Compare the figures and explain that what conclusions you can draw from these analyses? Draw a box and Whisker plot for men and female shoes prices and comment on the shape of the graph.
- Calculate the Mean, Median, Mode, Standard Deviation and Coefficient of Variation for prices for the three countries – Thailand, Singapore and China, separately. Compare the figures and explain what conclusions you can draw from these analyses? Draws a Box and Whisker plot for each country and comment on the shape of the graph.

* *

__Part 3:__

Answer the following hypothesis questions:

- Determine if average prices for female shoes is less than average prices for male shoes. Compare the result with part 1 question 1. Does the result confirm your previous findings? (Follow the hypothesis testing steps, 0.05 level of significance, assuming “equal variances” of populations).
- Using a scatter graph of price (Y variable on vertical axis) and production cost (X variable, horizontal axis), comment on the relationship between price and cost.

**EXCEL Instructions**

** **

*Activation of Data Analysis:*

- Click on
**File**, then click - Click
**Add-Ins**, and then in the**Manage**box, select**Excel Add-ins**. - Click
**Go**. - In the
**Add-Ins available**box, select the**Analysis ToolPak**check box, and then click**OK**. - After you load the Analysis ToolPak, the
**Data Analysis**command is available in the

**Analysis **group on the **Data **tab.

*Filter numbers:*

Highlight the column of data/ Data tab/Sort/expand the selection / *A/Z*

* *

* *

*Graphs:*

- Highlight all data including labels
- Insert Tab/ choose the chart.

*Summary statistics*

From Menu, Data Tab, Data analysis, Descriptive statistics (highlight data for input range), tick summary statistics and confidence interval, OK

*Two sample hypothesis testing:*

Excel/Data/Data Analysis/ t test, two sample assuming equal variances (or unequal)/ highlight data for variable 1 and 2/ insert the value for Hypothesized difference equal zero and level of significance 0.05.

__*____if you have highlighted the labels tick (the relevant box.__

* ** *

*Anova:*

From Menu, Data Tab, Data analysis, Anova single factor highlight data for input range), insert the value for alpha, OK

*Regression*

From Menu, Data Tab, Data analysis, Regression, highlight data for Input Y range and Input

X range, tick Residuals Plots boxes, OK