please use z table for question number 1. Document Preview: UIC Sydney Quantitative Methods Assignment 30% of the course grade. Due Date: Thursday, 17 January, 2013 at the beginning of your class....

UIC Sydney Quantitative Methods Assignment 30% of the course grade. Due Date: Thursday, 17 January, 2013 at the beginning of your class. Note that you must also submit your assignment via Turnitin. Note that each student must submit an assignment on Turnitin, but the hardcopy will include the names of all group members. Question 1. (9 marks) The monthly average sales of the Smiling Ninja Computer Company may be approximated to a normal distribution curve. It has a mean of $22,000 and a standard deviation of $3,300. Drawing a curve for each question, calculate the proportions of the following: The proportion of sales greater than $21,500 per month; (3 marks) The proportion of sales less than $21,000 per month; (3 marks) The proportion of sales between $22,500 and $24,500. (3 marks) Note: Show all relevant workings and draw a normal distribution graph for each part. Question 2. (6 marks) What is a “Chi-Squared Test”? Provide a fully referenced explanation. (3 marks) Provide a brief example on a Chi-squared test, fully referencing all sources of information. (3 marks) Question 3. (15 marks) Part A (10 marks) You have been offered the choice of 3 prizes; Prize 1: $15,000 cash payable immediately; Prize 2: 2 yearly payments of $8,000, with the first instalment due in 1 year’s time (assume yearly compounding); Prize 3: $490 per month for 2 years, with the first instalment due in 1 month’s time (assume monthly compounding) Other information: Current interest rates are 9% per year. Based on present values, which prize would you prefer and why? Show workings for all prizes, and explanations in your answers (7 marks). What do finance experts mean when discussing “the power of compounding”? Provide a brief example to support your answer. (3 marks) Part B.(5 marks) A TV is for sale at $6000. You cannot afford to pay cash, and were offered the following payment methods: Pay 15% deposit upfront and pay the balance over 2 years,...