ASSIGNMENT 1 MQF3023
Group of 5 Members 1. A university is planning to subsidize the expansion of its students’ recreational centre through a special RM 24.00 annual fee to be paid by each student for the next 4 years. Since the project will take 2 years to complete, the students who are currently in the third and fourth year will not benefit from the expansion. The survey committee believes that the opinions of students are likely to depend on their current class status. There are currently 4000 first year students, 3200 second year students, 2800 third year students and 2000 fourth year students enrolled in the university. The sample will contain 300 students and the size of the sample from each group is to be proportional to the size of the particular subpopulation. a. How many first year students should be included in the sample? b. What is the probability sampling method that is appropriate for the above opinion poll? State your reason(s). c. Assuming that the list of 2800 third year students is obtained from the registrar office, the numerical list of names is between 1 and 2800. The committee wants 70 students in the sample. State how you would obtain the random sample for this study? d. What method of data collection should be used? State your reason(s).

2. Suppose that a survey is to be taken on shoppers at a large shopping mall. For each of the following, indicate the type of sampling technique that can be employed. A questionnaire is administered to: i) A random sample of customers at each entrance to the mall. ii) Every sixteen customer who enters the mall. iii) All customers that enter a set of randomly selected stores in a 15-minute period during the day. iv) Customer who enter any bookstore outlet at the mall.

3. A prominent bank located in Kuala Lumpur has some 400,000 users of its credit cards scattered throughout Malaysia. The application forms for the credit card asked for the usual information about name, address, income, level of education and so on that is typical of such applications. The bank is currently interested in determining if there is any directional relationship between the frequency of card usage and the amount of credit charged on the card for various purchases made within a month, i.e. the more frequent the card is used, the higher is the credit amount charged on the card. a) Identify the sampling frame that would be used by the bank to conduct the investigation. How is the sampling frame acquired? b) Choose a suitable sampling technique and indicate how you would draw a sample from the target population using the sampling technique chosen. c) Determine and describe the appropriate data collecting method for the study. State TWO (2) advantages and disadvantages for choosing the method. d) What is a suitable instrument used to collect the data in this study? Describe the purpose of the instrument.