Download BU (Bangalore University) MBA 1st Semester 2019 Feb Statistics for Management Question Paper

Download BU (Bangalore University) MBA (Master of Business Administration) 1st Semester 2019 Feb Statistics for Management Question Paper

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I Semester M.B.A. Examination, February 2019
(CBCS Scheme)
Management
Paper - 1.4 : STATISTICS FOR MANAGEMENT
Time : 3 Hours Max. Marks : 70
Answer any five questions. Each question carries five marks.
1.
2.
Instructions : 1) Calculators and appropriate statistical tables are allowed.
2) Provide the graph sheet.
SECTION ? A
Explain the importance of statistics in management.
Write short notes on :
a) Null hypothesis
b) Alternative hypothesis
c) Type I and Type II error.
A ba contains 5 white and 6 red marbles. Another bag contains 4 white and
7 re marbles. Two marbles are drawn from the selected bag. What is the
prgbabilrg that selected bag contains (a) white marbles (b) one white and one
re ma 6.
. Fit a linear trend for the following data and forecast for the next two years
(A graph is necessary).
Year 2012 2013 2014 2015 2016 2017
Sale of sugar
?000 kgs : 80 90 92 94 96 98
. Derive Chi-square statistic by stating suitable null and alternative hypothesis.
Use 1% level of significance.
The data given below is regarding infavour of against and indifferent to a National
Policy on FDI.
613021j
(5x5=25)
Occupailon Favour of Against Indifferent
Social workers 80 3O 10
Lawyers 70 60 20
University students 60 60 40
P.T.O.

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6. Calculate Karl Pearson's and BoWley's coefficient of skewness tor the marks
obtained by students 012 institutions.
Measure Institution A Institution B
Mean 65 70
Standard deviation 10 14
Middle quartile 65 64
Third quartile 87 102
First quartile 28 35
7. The average height of 1000 students are normally distributed. Its mean is 72 inches
and standard deviation is 2 feet. Find
i) The number 01 students whose height is more than 68 inches.
ii) The number of students whose height will be between 5.5 feet and 6.25 feet.
SECTION ? B
Answer any three questions. Each question carries 10 marks. (3x10=30)
8. What is non parametric test ? Explain the different types of test used in the
statistical analysis.
9. Calculate the ideal index and test for the time reversal and factor reversal test
for the following data.
2017 201 8
Commodlty Price Expenditure Price Expenditure
A 30 1 350 22 990
B , 32 1344 24 840
C 30 1 200 25 1200
D 35 2100 27 1 161
E 36 900 28 1036

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10. An investment company speculates about the relationship between family
incomes and their allocation for investments. A survey of 8 randomly selected
families gives the following data.
Annual Income
In ?000 Rs. : 18 21 19 34 23 30 36 39
Percent allocatlon
for Investment : 28 36 32 40 35 55 60 70
a) Develop the regression equations to describe the data.
b) What could be the percentage of income allocated to investment by a family
earnings Rs. 27,500 per annum ?
11. A businessman from Delhi wishes to sell his products in Bangalore. He can
set up a showroom in the city or can sell through a wholesaler. Setting up a
showroom will entail cost of Rs. 725,000 with a 65% probability of success. If
the showroom succeeds, he can get a net profit of Rs. 12,25,000 per year. If
it fails, he can either shutdown the showroom or rent It out for an annual rent
of Rs. 4.25.000 (tor rest of the year). The probability that he gents rent for the
showroom is 45%.
If he sells through a wholeseller, he incurs Rs. 3.25.000 initial costs. The chances
of selling successfully are 48% with a net profit of Rs. 6.20.000 per year.
a) Advise the businessman on the best decision.
b) How is the decision tree analysis useful in business decision ?
SECTION ? C
12. Compulsory : (1:115:15)
A manufacturer of perfumes wishes to launch a new perfume in 4 different
fragrances. Test marketing in 5 different cities has given the following data. Is
there a significant ditterence in the sales ?gures of the various fragrances '?
Lavender Rose Llly Daisy
City A 80 100 95 70
City B 82 110 90 75
City c ' 88 105 100 82
City D 85 115 105 88
City E 75 90 80 65