Quantitative Techniques Question Paper of MBA Semester 1, Download Question Paper 12

Roll No…….

MAY-2014

MANAGEMENT PROGRAMME

QUANTITATIVE TECHNIQUES

Time: 3 Hrs.                                                                           Max. Marks: 60

Note: There are three sections: Section-A, Section-B and Section-C in this Paper.

SECTION-A

(10 X 2=20)

1.     Attempt any four questions from Section-A.

i.                   What is the role of mathematics and statistics in business decision?

ii.                 What are index numbers and why they are called Business Barometers?

iii.              Differentiate between Census and sampling?

iv.              A balanced coin is tossed 4 times. Find the probability distribution of the number of heads and its Expectations.

v.                 List different Time series methods and their uses.

vi.              What are the t and F-test.  In which situation these are applied?

SECTION-B

UNIT-I

(4 X 8=32)

2.     Calculate median, 6^th decile and 40^th, 9^th percentile from the following data:

Wages per Week	No. of workers
50-100	15
100-150	40
150-200	35
200-250	60
250-300	125
300-350	100
350-400	70
400-450	40
450-500	15

3.     Find the inter quartile range from the following data:

Class Interval	Frequency
0-15	6
15-30	18
30-45	35
45-60	57
60-75	28
75-90	19
90-105	7

UNIT-II

4.     The manufacturer of a spot remover claims that his product removes at least 90% of all spots.  What can be concluded about his claim at the level of significance cr.=0.05, if the spot remover removed only 174 of the 200 spots chosen at random from the spots on clothes brought to a dry cleaning establishment?

5.     To see whether silicon chip sales are independent of where the US economy in the business cycle, data have been calculated on the weekly sales of a firm and on whether the US economy was rising to a cycle peak, at a cycle peak, falling to a cycle peak or at a cycle through.  The results are

Weekly chip sale
	High	Medium	Low	Total
Economy at peak	20	7	3	30
Economy at through	30	40	30	100
Economy rising	20	8	2	30
Economy falling	30	5	5	40
Total	100	60	40	200

State the null hypothesis. At 0.10 significance level, what is your conclusion? (Given the tabulated value of test statistic is 10.645)