Download BU (Bangalore University) MBA 1st Semester 2017 Feb Statistics for Management Question Paper

Download BU (Bangalore University) MBA (Master of Business Administration) 1st Semester 2017 Feb Statistics for Management Question Paper

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l Semester M.B.A. Degree Examination, February 2017
(CBCS)
Management
Paper ? 1.4 : STATISTICS FOR MANAGEMENT
Time : 3 Hours Max. Marks : 7O
Instruction : Statistical tables and calculators are allowed.
SECTION?A
Answer any five questions. Each question carries five marks. (5x5=25)
1.
Explain the role of statistics in managerial decision-making. Illustrate with
examples.
A bowler?s scores for six games were 182, 168, 184, 190, 170 and 174. Using
these data as a sample, compute the following descriptive statistics.
a) Standard Deviation
b) Variance
c) Coefficient of variation.
What is Sampling ? Explain the different methods of sampling.
Five students P, Q, R, S and T are given a problem to solve. The probabilities
1 1 1 1 1
are 5.3 E' E and 6 of solving the problem. What is the probability that the
problem will be solved ?
The mean circumference of 1500 shafts manufactured in a company is 15 cm
and the deviation from the mean is 3 cm. Assuming normal distribution find out
how many shafts have a circumference
a) greater than 13 cm
b) lesserthan 19 cm.
P.T.O.

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6. From the following data, find the straight line trend and forecast the production
?gures for the next two years of a certain company. A graph is not necessary.
Year 2007 2008 2009 2010 201 1 2012 2013 2014
Production
4 88
(.000 kgs) 6 70 82 69 75 90 94
7. Using the chi square test, determine whether a new drug discovered for preventing
poultry disease is successful or not, based on the data given below : You may
use a 5% degree of significance. .
Got disease Did not get
dlsease
Administered the 175 810
drug
Did not administer 215 620
the drug
SECTlON ? B
Answer any three questions. Each question carries ten marks. (3x1 0:30)
8. Construct Laspeyre?s, Paache?s and Fischer?s ideal index for the following data
and prove that ideal index satisfies the time reversal and factor reversal tests for
the data below :
201 5 201 6
Commodlty
Price Qu antity Price Quantity
A 3 9 5 8
B 6 1 2 7 9
C 4 1 4 5 1 0
D 2 1 8 8 1 5

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9.
10.
11.
12.
A study was carried out on the advertising methods of a brand of product. The
unit sales achieved by five stores were recorded as under.
Store ~ A Store ? B Store ? C Store ? D Store ~ E
Method | 78 85 82 88 79
Method || 81 92 77 83 81
Method III 79 83 71 78 80
Calculate the F-ratio, using ANOVA and 15% level of significance. Establish
there is a significant difference between the sales in the different stores.
Explain the following concepts briefly with suitable diagrams :
a) One tailed and two tailed tests
b) Type I and Type II errors
0) Skewness
d) Kurtosis.
Find the coefficient of correlation and the probable error for the following data.
X 1 2 24 30_ 45 56 70 83
Y 29 31 44 56 72 88 90
Comment on the significance of the correlation.
SECTION ? C
Case study (compulsory) : (1 x1 5:15)
Anil has 2 investment options, but he can take up only one option at a time.
Option one : ,He can start a restaurant for an investment of Rs. 8,00,000. The
outcome will be success (probability of 90%) with a cash inflow of Rs. 10,00,000.
If he fails he incurs a loss of Rs. 2,00,000. If he succeeds he can decide to open
a fast food joint for Rs. 6,00,000. The outcome would be success (probability
70%) with a cash inflow of Rs. 8,00,000. Failure means he can still salvage
Rs. 3,00,000.
Option two : He can start a readymade dress showroom for Rs. 8,00,000. The
outcome will be success (probability 80%) with a cash infli -N of Rs. 11,00,000.
Failure means he can still salvage Rs. 5,00,000. Draw a decision tree and a pay
off table. Advise Anil on the most profitable option to undertake.