University of Rajasthan 2011 M.Com Commerce (previous)/ ADVANCED BUSINESS STATISTICS - Question Paper

M.com (Previous) EXAMINATION, 2011
(Accountancy and business statistics)
Compulsory Paper I
ADVACED BUSINESS STATISTICS
Maximum Mark : 100
Attempt 5 ques. in all, selection at lowest 1 ques. from every part.
All ques. carry equal marks.

part A
1. (a) define the addition and multiplication rules of probability with and example of
every case. [ MARKS 5]
(b) In a randomly opted leap year what is the probability that there are 53 Sunday
Or 53 Wednesday. [ MARKS 5]
(c) A issue in statistics is provided to 3 students, whose chances of solving it correctly
Are ½, 1/3 and ¼ respectively. What is the probability that the issue will not be
solved ? [ MARKS 5]
(d) In how many ways can a vowel and a consonant be opted out of the letters of word
'COURAGE' ? [ MARKS 5]

2. (a) A decision issue has been expressed in the subsequent Pay-off table :

Pay-off Table
State of Nature Alternatives
a1 a2 a3
` ` `
E1 3,800 3,720 3,640
E2 3,280 3,240 3,320
E3 2,840 2,880 3,480

What will be the manager's decision if he uses the subsequent criteria ? [ MARKS 8]
(I) Maxi-max;
(II) Maxi-min;
(III) Mini-max regret;
(IV) Hurwitz criterion with c = 0.7.
(b) The overall pass percentage in certain exam is 70. What is the probability that at lowest 4
Candidates would pass the exam out of a group of six candidates ? [ MARKS 8]
(c) obtain the binomial distribution if the mean is 48 and standard deviation is 4. [MARKS 4]

3. Fit a normal curve for the subsequent data and obtain out theoretical frequencies (µ = 11.57)
[Marks: 20]

Weight (kg) Number of Students
20-30 7
30-40 10
40-50 20
50-60 18
60-70 7

part B

4. (a) A sample of size 10 is obtained to have mean of 3.24 cm. Could it be regarded as a sample
From a large population whose mean is 2.74 cm. and standard deviation is 2.5 cm. at five per
-cent level of
significance ? [MARKS 10]
(b) Will your ans differ in case you test it at 99 percent level of confidence ? [MARKS 5]
(c) What is central limit theorem ? [MARKS 5]
5. Differentiate ranging from the subsequent : [MARKS 5+5+5+5]
i. type I fault and kind II fault ;
ii. Point estimate and Interval Estimate;
iii. Parameter and Statistics;
iv. Null Hypothesis and option Hypothesis.



6 . Set up a 2 way ANOVA table for the data provided beneath. Use coding method subtracting
40 from the provided numbers :
Plots Treatments
A B C D
P 45 40 38 37
Q 43 41 45 38
R 39 39 41 41

Test 2 hypotheses, 1st hypotheses for treatments and 2nd hypotheses for plots. [MARKS 20]
part C
7. obtain out pattern values on the basis of parabolic curve of 2nd order from the data provided beneath
And forecast the value for 2010 : [MARKS 16+4]

Year Sales
(RS`in crores )
2005 10
2006 12
2007 13
2008 10
2009 8


8. (A) In an exam in which 500 candidates appeared, boys outnumbered girls by 14 %
Of all candidates. Number of passed candidates exceeded number of failed candidates by 300. Boys
Failing in exam numbered 80. compute Yule's coefficient of association ranging from boys and
Success in exam. [MARKS 15.]
(b) Distinguish ranging from association of attributes and correlation. [MARKS 5.]


9. (a) calculate the 2 regression coefficients using the values of true means of X an Y from the data
provided below, then work out the value of correlation coefficient : [MARKS 15.]

X Y
7 6
4 5
8 9
6 8
5 2

(B) What do you mean by partial correlation ? How is it various from multiple correlation ? [MARKS 5.]

Earning:   Approval pending.