Quantitative Techniques Question Paper of MBA Semester 1, Download Question Paper 6

Roll No…….

Total No. of Questions: 07

Paper ID [C0167]

MBA/MBA (Sem.-1^st)

QUANTITATIVE TECHNIQUES (MB-104)

Subject Code: MB-104 (2009 to 2011 Batch)

Time: 3 Hrs.                                                                           Max. Marks: 60

Instruction to Candidates:

1.     Section-A is Compulsory.

2.     Attempt any Four questions from Section-B.

SECTION-A

1.     Write briefly:

(a)  Define Identity Matrix.

(b) If roots a, b of the equation x²-px+16=0 satisfy the relation a²+b²=9, then find the value of p.

(c)  Differentiate Descriptive and Inferential Statistics.

(d) What is Standard Error? Explain its significance.

(e)  Define Mutually Exclusive Events.

(f)   Define Deseasonalization.

(g)  Define Consumer Price Index.

(h) Explain Factor Reversal test.

(i)    Under what situation two regression lines coincide.

(j)    Differentiate between null and alternate hypothesis.

SECTION-B

2.      

(a)  Illustrate by giving an example the difference between Binomial and Poisson distribution.

(b) A company controls about 10% of cookie market. Suppose 20 purchasers of cookies are selected randomly from the population, what is the probability that four purchasers choose cookies?

3.

(a) Discuss the importance of central tendency and function it serves in statistics. Explain various measures of central tendency and illustrate which is the best measure.

(b) Compute the mean, mode, variance and standard deviation on the following sample data:

Class Interval	10 Under 15	15 Under 20	20 Under 25	25 Under 30	30 Under 35	35 Under 40	40 Under 45	40 Under 45
Frequency	6	22	35	29	16	8	4	2

4.

(a) What is meant by correlation? Explain the types of correlation by discussion their characteristics and applicability.

(b) What is regression analysis? Discuss its role in business by emphasizing on the functions of regression.

5. Describe various methods of sampling by giving suitable examples.

6. Computer Laspeyres price index and Paasche price index for 2006 using 2005 as base year.

2005	Price	6.70	1.35	5.10	4.50	11.95	7.90
	Quantity	150	60	8	25	6	4
2006	Price	6.95	1.45	6.25	4.95	13.20	9.00
	Quantity	135	65	12	30	8	2

7. GMAT scores are used by graduate schools of business as an entrance requirement.  Suppose in a recent year the mean GMAT score was 494 and the standard deviation was about 100.  Assuming scores to be normally distributed what is the probability that the score is

(a) Between 600 and mean

(b) Greater than 700     

(c) At the most 550

(d) Between 300 and 600

(e) Between 350 and 450