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

• Thursday, November 26, 2015

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, 6th decile and 40th, 9th 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)