Acharya Nagarjuna University (ANU) 2006 M.B.A Business Administration V - Quantitative Techniques for Managerial ision - Question Paper
M.B.A. (Previous) Degree Examination, May 2006
Paper - V - Quantitative Techniques for Managerial Decision
3
(DBUS 05)
M.B.A.(Previous) DEGREE EXAMINATION, MAY2006 PAPER - V - QUANTITATIVE TECHNIQUES FOR MANAGERIAL DECISIONS
Time: Three hours Maximum: 75 marks
3
(DBUS 05)
SECTION-A (3X5=15 marks}
Answer anyTHREE of the following.
1.(a) Explain different methods of collecting primary data.
(b) Give any two definitions of probability.
(c) What is complex conjugate of matrix?
(d) What is the mease ares of dispersion?
(e) Briefly explain the methods of studying correlation.
(f) Explain the procedure generally followed in testing of a hypothesis.
3
(DBUS 05)
Answer anyTHREE of the following.
2. A manufacturer produces 3 products A, B and C which are sold in Delhi and Calcutta. The annual sales of these products are given below:
A B C
Delhi 5;0QQ 7,500 15;000
Calcutta 9,000 12,000 8,700
If the sales prices of the products A, B and C per unit are 2, 3 and 4 respectively. Calculate the total revenue in each centre l>y using matrix.
x=
3.A stall producing co.r produces Xtons of stell at a total cost of c=L- Jx~ +1 Lb:-i-50. Find the output levels at which the marginal cost attains its minimum.
4. Consider the following data which relate to the mean daily sales and standard deviation for 3 sales man.
|
Salesmen |
Mean Daily Sales |
S.D. |
|
(Rs.) |
(Rs.) | |
|
A |
85,000 |
104.5 |
|
B |
45,000 |
58.5 |
|
C |
72,000 |
95.4 |
Determine which salesman is most consistant in terms of daily sales.
5. Explain what is meant by an estimate of a population parameter. A random sample of 500 apples was taken from a large consignment and GO were found to be bad. Obtain the 98% confidence limits for the percentage number of bad apples in the consignment.
6. The average age of students on an M.B.A. course is thought to Le 35 years. A sample of 36 M.B.A. students had an average age 37 years with a standard deviation of 6 years. Does the sample sup p ort t h e h v poth es is th at th e averag e ag e is 35 years; use a 5% leve I of sign ifi ca n ce. If a 1 pe rce nt leve I of s ig n ifican ce i s consid ere d, wh at w ill be t h e co n c lu s ion?
7. B e low a re g iven t h e f ig u res of p rod u ct io n (in thousand tone s) f ertiiize r fa ctory:
Year : 1998 1599 2000 2001 2002 2003 2004
Production : 70 75 90 98 84 91 100
(a) Fit a straight line trend and find the trend values
(b) What is the monthly icrease in the production of fertilizer?
SECTION -C (15 marks)
Compulsory
8. The following data pertains to length of service (in years) x and annual income (in thousand rupees) y for a sample often employees of an industry:
x: 6 8 B 10 11 12 14 16 y; 14 17 15 18 16 22 25 26 Compute the correlation coefficient and interpret the value.
|
Attachment: |
| Earning: Approval pending. |
