HA1011 - Applied Quantitative Methods - Principles and Techniques of Business Research and Statistical Analysis - Finance Assignment Help

Assignment Task :

Purpose:
This assignment aims to Understand various qualitative and quantitative research methodologies and techniques, and other general purposes are: 

1. Summarise numerical data and present it both by means of tables and charts

2. Be able to calculate and interpret descriptive summary measures

3. Develop simple regression models and interpret the regression coefficients

4. Understand basic probability concepts 5. Understand when to apply different distributions, their properties and how to calculate associated 

probabilities 

Question 1 

Financial analysts reviewing travel and entertainment costs might have the business objective of determining whether meal costs at city restaurants differ from meal costs at suburban restaurants. They collect data from a sample of 50 city restaurants and from a sample of 50 suburban restaurants for the cost of one meal (in $).

Tasks: 

a. Construct a frequency distribution for both types of restaurants using 10 classes, stating the Frequency, Relative Frequency, Cumulative Relative Frequency, and Class Midpoint. 

 b. Using (a), construct a histogram for both types of restaurants. (2 marks) c. Based upon the raw data, what is the mean, median and mode for both types of restaurants? 

Question 2 

You are the manager of a supermarket and concerned about a forthcoming reduction in the annual advertising budget proposed by the owner. You manage many products that all require separate marketing strategies, predominantly supported by advertising. To justify your request for a higher advertising budget, you collected data on annual sales and annual advertising expenditure. 

Tasks: 

a. Is it above a population or a sample? Explain the difference.

b. Calculate the standard deviation of the annual sales. Show your workings. 

c. Calculate the Inter Quartile Range (IQR) of the annual advertising expenditure. When is the IQR more useful than the standard deviation? (Give an example based upon annual advertising expenditure.) (2 marks) d. Calculate the correlation coefficient. Interpret the correlation coefficient.

Question 3 

You are the manager of a supermarket and concerned about a forthcoming reduction in the annual advertising budget proposed by the owner. You manage many products that all require separate marketing strategies, predominantly supported by advertising. To justify your request for a higher advertising budget, you collected data on annual sales and annual advertising expenditure. 

Tasks: 

a. Explain how you select the dependent variable (Y) and independent variable (X) between annual sales and annual advertising expenditure.

b. Calculate AND interpret the Regression Equation (Interpret slope and intercept). You are welcome to use Excel to check your calculations, but you must first do them by hand. Show your workings. (3 marks) c. Calculate AND interpret the Coefficient of Determination. 

Question 4 

You are the manager of the Holmes Hounds Big Bash League cricket team. Some of your players are recruited in-house (that is, from the Holmes students) and some are bribed to come over from other teams. You have 2 coaches. One believes in scientific training in computerized gyms, and the other in “grassroots” training such as practising at the local park with the neighborhood kids or swimming and surfing at Main Beach for 2 hours in the mornings for fitness. The table below was compiled: 

Tasks: 

a. What is the probability that a randomly chosen player will be from Holmes OR receiving Grassroots training? 

b. What is the probability that a randomly selected player will be External AND be in scientific training? 

c. Given that a player is from Holmes, what is the probability that he is in scientific training? 

d. Is training independent from recruitment? Show your calculations and then explain in your own words what it means. 

Question 5 

You are an investment manager for a hedge fund. There are currently a lot of rumours going around about the “hot” property market on the Gold Coast, and some of your investors want you to set up a fund specialising in Surfers Paradise apartments. 

Last Saturday you attended an auction to get “a feel” for the local real estate market. You decide it might be worth further investigating. You ask one of your interns to take a quick sample of 50 properties that have been sold during the last few months. Your previous research indicated an average price of $0.9 million but the average price of your assistant’s sample was only $850 000. However, the standard deviation for her research was the same as yours at $270 000. 

Tasks: 

A. Since the apartments on Surfers Paradise are a mix of cheap older and more expensive new apartments, you know the distribution is NOT normal. Can you still use a Z-distribution to test your assistant’s research findings against yours? Why, or why not? 

B. You have over 2 000 investors in your fund. You and your assistant phone 35 of them to ask if they are willing to invest more than $1 million (each) to the proposed new fund. Only 9 say that they would, but you need at least 30% of your investors to participate to make the fund profitable. Based on your sample of 35 investors, what is the probability that 30% of the investors would be willing to commit $1 million or more to the fund?

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