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C - 7
COMMONWEALTH EXECUTIVEMBA/ MP A PROGRAMME
Term-End Examination
December, 200900
O C - 7 : QUANTITATIVE TECHNIQUES
Time : 3 hours Maximum Marks : 100
(Weightage 70%)
Note :
There are two sections.
Section A has six questions, each carrying 15 marks.
Attempt any four questions from section A.
Section B is compulsory and carries 40 marks. Attempt
both questions.
Statistical tables may be supplied on request.
SECTION - A
What factors in modern society contribute to theincreasing importance of quantitative approachto management ? List one application ofquantitative techniques in each functional areaof management.
Discuss the importance of measuring variabilityfor managerial decision-making. List somemeasures of variation and discuss advantages ofeach of them.
C-7 1 P.T.O.
3. From the frequency distribution, find the standarddeviation using the formula for the grouped data :
Class Interval Frequency
10-20 9
20-30 18
30-40 31
40-50 17
50-60 16
60-70 9
Total 100
What do you understand by the termcorrelation ? Explain how the study of correlationhelps in forecasting demand of a product.
In a study to test whether there is a differencebetween the average heights of adults femalesborn in two different countries, random samplesyielded the following results :
n i = 120, .7 1 = 62.7, S1= 2.50
n2 = 150, x 2 = 61.8, S2 = 2.62
where the measurements are in inches. Use 0.05level of significance to test the difference betweenthe average heights.
C-7 2
6. Write short notes on any three of the following :
Step functions
Significance of measures of Dispersion
Criteria of Optimism
The F distribution
(e) Auto-regressive (AR) models
C-7 3 P.T.O.
SECTION - B
Given below are figures of production(in thousand kilos) for a sugar factory. Obtainthe secular trend by fitting a straight line.
Years 2000 2001 2002 2003 2004 2005 2006Production 12 10 14 11 13 15 16
Highlight why a decision maker has to revise theprobability estimates with added information.Thus, describe in detail, the Bayes' theorem.
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C-7 4