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571101 STATISTICS FOR MANAGEMENT ANNA UNIVERSITY MBA QUESTION PAPER JAN 2011 REGULATION 2010

Sunday, September 11, 2011 ·

M.B.A. DEGREE EXAMINATION, JANUARY 2011.
First Semester
571101 — STATISTICS FOR MANAGEMENT
(Regulation 2010)
Time : Three hours Maximum : 100 marks
Statistical tables are permitted.
PART A — (10 × 2 = 20 marks)
1. Define probability by the way of mathematical approach.
2. Write the probability mass function of Poisson distribution
3. Write the standard error of sampling distributions of mean and proportion.
4. What is the use of central limit theorem?
5. What do you mean by Type I and Type II errors?
6. Write the use of sign test.
7. Explain the term “Run” with an example.
8. KW test is the non-parametric ANOVA – Why?
9. What do you interpret if the r = 0 and r = –1?
10. What do you mean by error variation?

PART B — (5 × 16 = 80 marks)

11. (a) A disciplinary committee is formed from the staff of XYZ company which
has three departments Marketing. Finance and Production of size 10, 5
and 20 members respectively. All departments have two female staff
each. A department is selected at random and from which two members
are selected for the committee,
(i) What is the probability that both the team members are female? (6)
(ii) If the committee formed with female only, then find the Bayesian
probability that the committee has come from Marketing, Finance
and Production departments respectively. (10)
Or
(b) (i) A sales representative can convert a customer as potential buyer
with the probability of 70%. If he is able to meet the 10 customers
in day, find the probability of converting (9)
(1) atleast one customer
(2) not even a single customer
(3) exactly one customer.
(ii) N = 1000; n = 5; p = 50% then find P(X = 2) by binomial distribution.
(7)
12. (a) Explain Non-random sampling methods in detail stating the merits and
demerits.
Or
(b) (i) Explain the properties of good (point) estimator. (8)
(ii) What do you mean by interval estimation? Give examples. (8)
13. (a) (i) Explain the procedure for testing the two sample proportion with
population proportion comparison. (8)
(ii) IQ test result of randomly selected five employees in an
organization is given below. Test whether minimum requirement of
average IQ level 87 is maintained in that company or not. (8)
Employee Code : 234 232 121 343 111
IQ test : 85 95 90 93 87
Or

(b) Test whether the association of income level and interest on buying a
new model car is significant or spurious from a study conducted from
2000 members randomly selected from an area.
Income group Buying a new model car
Interested Not interested
Low income (below Rs. 10000) 200 200
Medium income (Rs. 10000-50000) 400 600
High income (above Rs. 50000) 200 400
14. (a) (i) Distinguish Nonparametric methods over parametric methods. (8)
(ii) Explain the KW test procedure with appropriate examples. (8)
Or
(b) Time of service by two cashiers in a period in a Bank are given below :
Customer number : SB 12309 CuA/c 32 SB 453 SB 0093 CuA/c 21 SB 123
Cashier A (in min) : 12 23 4 5 16 17
Customer number : SB 30909 CuA/c 12 SB 678 SB 0093 SB A/c 121
Cashier B (in min) : 2 3 10 8 12
Test whether the service time varies significantly between the operators
using Mann-Whitney U test.
15. (a) The following table presents the results of a survey of 8 randomly
selected families :
Annual Income (in 000 Rs.) : 8 12 9 24 13 37 10 16
Per cent allocation for investment : 36 25 33 15 28 19 20 22
Find Karl Pearson’s correlation and Spearman’s rank correlation
methods for the above data. (10 + 6)
Or
(b) (i) Explain various methods of trend analysis for financial time series
data. (8)
(ii) An electronics and appliance store sells three different brands of
DVD players. The three brands sold by the store are Brand A,

Brand B, and Brand C. The unit prices for the years 2000 and 2010.
with the volume of sales (units sold) for 2000, are given below.
Unit price \$ Unit sold
DVD Player 2000 (P0) 2010 (Pt) 2000
Brand A 700 900 200
Brand B 500 600 300
Brand C 300 420 500
(1) Compute an unweighted aggregate price index for DVD
players with 2000 as the base period. (4)
(2) Compute a weighted aggregate price index (Laspeyre’s index)
for 2010 with 2000 as the base period. (4)