Get premium membership and access revision papers, questions with answers as well as video lessons.
Hps2205:Quantitative Methods Question Paper
Hps2205:Quantitative Methods
Course:Bachelor Of Commerce
Institution: Meru University Of Science And Technology question papers
Exam Year:2010
QUESTION ONE (30 MARKS) a) In analyzing switching by business class customers between airlines, the following data has been obtained by Kenya Airways (KQ) Next flight KQ Competition Last flight by KQ 0.85 0.15 Competition 0.10 0.90 Currently KQ has 30% of the business class market. The business class customers make 2 flights a year on average. Determine i. ii. Long term market share of KQ (7 Marks)
b) Using definition, differentiate = 2 32.(5 Marks) c) Evaluate i. 2 3 . (3 Marks) ii. 1 4 (3 Marks) d) The sales manager of a large sales force is interested in finding whether or not average number of weekly sales contact per sales representative, 15 has changed. The sample
2
information was collected and it was found that 200 sales representatives had an average of 16.5 contacts per week with a standard deviation of 3.5. At 5% level of significance, what should the sales manager conclude? (6 Marks) e) Differentiate i. = 3. (3 Marks) ii. = 42 234 (3 Marks)
QUESTION TWO (20 MARKS) a) The lifetime of an inkjet printer head for 15 different inkjet heads is 1.24 with a sample standard deviation of 0.19. Calculate a 99% confidence interval for the population mean. (7 Marks) b) The quarterly data on the wholesale price index are given below; Quarter I II III IV 2008 211 214 218 216 2009 234 219 223 226 2010 224 229 240 241 2011 241 240 241 249
i. Determine the 3-quarter moving average. (7 Marks) ii. Draw the original data and the 3-quarter moving average on the set of axes. (6 Marks) QUESTION THREE (20 MARKS) a) The data below show the length of service (in years) and the annual income of a sample of employees of an industry. Length of service X 6 8 9 10 11 12 14 16 18 20 Annual income Y 14 17 15 18 16 22 26 25 30 34 i. Calculate the sample coefficient of correlation. (5 Marks) ii. Determine the least squares regression equation. (5 Marks) iii. Find the annual income of an employee with 15 years of service. (2 Marks) b) Define the following terms; i. Confidence level ii. Type I error iii. Critical value iv. Level of significance. (8 Marks)
QUESTION FOUR (20 MARKS) a) A firm has established that the demand for its products is given by = 100 2, while its total cost function is = 2000 + 200 0.22 + 0.0013.
3
Determine; i. ii. Number of units to be produced to maximize profit. (7 Marks) b) An economy has two interdependent sectors whose input-output coefficient matrix is
= 0.3 0.4 0.5 0.2 And final demand vector is = 20 10 . Calculate the total output of each sector in order to satisfy the demand. (7 Marks) c) Explain the components of time series. (6 Marks)
QUESTION FIVE (20 MARKS)
a) Three special ovens in a metal working shop are used to heat metal specimens. All the ovens are supposed to operate at the same temperature. The table below shows the temperatures in degrees centigrade of each of the three ovens on a random sample of Oven Temperature s 1 494 497 481 496 487 491 6.8 2 489 494 479 478 485 7.8 3 489 483 487 472 472 477 480 7.4
Test whether or not there is a difference of mean oven temperatures at = 0.05. (9 Marks) b) State properties of a good estimator. (6 Marks) c) A supplier of a new basic raw material of a product claims that the use of his material would reduce the proportion of defectives. On making a production trial run with his new material, it was found that from an output of 400 units 52 were defective. Calculate a 95% confidence interval for the population proportion of defectives. (5 Marks)
More Question Papers
Popular Exams
Return to Question Papers