POLYTECHNIC OF NAMIBIA SCHOOL OF HEALTH AND APPLIED SCIENCES DEPARTMENT OF MATHEMATICS AND STATISTICS

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1 セdGdnayッャAセ POLYTECHNIC OF NAMIBIA SCHOOL OF HEALTH AND APPLIED SCIENCES DEPARTMENT OF MATHEMATICS AND STATISTICS QUALIFICATION(S): BACHELOR OF TECHNOLOGY: ACCOUNTING AND FINANCE QUALIFICATION CODE: 23 BACF NQFLEVEL: LEVEL? COURSE NAME: QUANTITATIVE METHODS 28 COURSE CODE: QTM 212S DATE: DURATION: MARKS: JUNE HOURS 100 SECOND OPPORTUNITY EXAMINATION QUESTION PAPER EXAMINER: MODERATOR: DR. 0. SHUUNGULA MR. A. ROUX INSTRUCTIONS: 1. Answer all the questions in the booklet provided 2. Show clearly all the steps used in the calculations 3. All written work MUST be done in blue or black ink and sketches must be done in pencils. PERMISSIBLE MATERIALS 1. Non-Programmable Calculator ATTACHMENTS: FORMULA SHEET This paper consists of 5 pages including this cover and the formula sheet

2 Question 1 Define the following terms. (a) Outlier (b) Mode Question 2 A survey was done to determine salaries of govern1nent employees in Namibia and Angola. The following information was obtained. Namibia: x = $4 500, s = $350. Angola: x = $5 550, s = $720. Using the coefficient of variation, which government's salaries are more consistent? [6] Question 3 The annual earnings of a sample of employees are as follows. Earnings (R 1000) Number of employees 5- < < < < < < < 19 2 (a) calculate the mean. (b) Calculate the standard deviation. (c) Calculate the mode. (d) Calculate Pearson's first coefficient of skewness and interpret your answer. [8] [5] Question 4 The following data displays the marks scored by mature age entry students in their entrance test. Marks obtained (%): 0- < < < < < 100 Number of students: (a) Set up the cumulative frequency table. [3] (b) If the minimum admission requirement is 40%, how many students will be admitted? (c) Find Q 1 and interpret your answer. [ 6] (d) Find P 60 and interpret your answer. [6] 1

3 Question 5 The following table shows the amount received by Ms. English in employment benefits from 1999 to 2004 Year: Benefits ($): (a) Calculate the simple indexes with 2001 as the base year. (b) Calculate the benefits link relatives. [6] Question 6 Prices of selected food items for 1999 and 2005 are given in the table below. Item 1999 Price ($) 2005 Price ($) 1999 Quantity 2005 Quantity Cabbage (500 g) Carrots (bunch) Peas (kg) Endive(bunch) (a) Compute the simple(i.e. unweighted) aggregate price index for 2005 using 1999 as the base year. (b) Compute Laspeyers' price index for 2005, using 1999 as the base year. [4] Question 7 The data given below (in hundreds) were prepared by a marketing research agency for Radio PN Year Audience Estimate the audience for the year 2008 using the method of least squares. [16] Hint: Code the time variable by using sequential numbering starting with x = 1 in

4 Question 8 A study done on a sample of 1000 people to determine answers on gender and dominant hand produced the following information. Men Women Total Left-handed Right-handed Total If a person is selected at random, calculate the probability that the person: (a) is left-handed (b) is a woman (c) is a woman and left-handed. END OF EXAMINATION 3

5 @R APPENDIX: FORMULA SHEET 1. CV == X x == 'Dl_ n V V 3. s = _ セクH@ for n < 30 and s = IセMクH 4. Mode= L + H L Q セ R I@ c (n-f)c 5. Median == L + 2!m 6. SKI== x-mo s 7 Q. _ L (J;-F)c. J- + fq 8 P. - L (iab-f)c. J- + fp 9. Jp = X Link relative= セ Q@ x 100 f for n > IQ = e セ A@ X lp = e セ A@ X lp(l) == セ p ゥ X 100 PbQb 14. lp(p) == セ p ゥ q X 100 PbQi 15 b == n 2: xy-(2: ク IH y) n 2: ク RMH x) a== l:y - bl:x n n