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Guru Gobind Singh Indraprastha Vishwavidyalaya 2008-2nd Sem B.B.A (Cam) - Question Paper

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End Term exam
Second Semester BBA {CAM) May -2008

Paperid-19106
Subject- Business strategy and research methodology
Batch-2005-2007
Time- 3hrs
Max. Marks- 75

(Please write your Exam Roll No.) Exam Roll No.

End Term Examination

Second Semester |BBA(CAM)l May-2008

Paper Code: BBA(CAM)10B !PaperW: 19106_ time: J Hours

Subject: Business Statistics And Research Methodology ,

____ _ _ (Batch: 2005-2007) |

Maximum Marks :75

Note: Attempt any five questions.

Write short notes on any three of the following:- (5x3=15)

(a) Co-efficient of Variation

(b) Conditional Probability

(c) STRATIFIED Sampling

(d) Measures of Variation

(e) Regression Analysis

(a) The mean wage of 100 workers in a factory running in two shifts of 60 and 40 workers respectively is Rs. 38. The mean wage of 60 workers working in the morning shift is Rs. 40. Find the mean wage of the workers in the evening shift. (6)

(b) Calculate Mean, Median and Mode from the following data:- (9)

! Mid value I 5	I 10	[15 T20	25	30
j Frequency I 5	I ¹⁵	[25 _1 30	15	10

(a) Find the standard deviation and co-efficient of variation from the following cumulative frequency distribution of wages of 200 workers. (9)

(6)

(9)

Wages up to Rs.	No. of workers	Wages up to Rs.	No. of workers I
10	8	50	136
20	24	60	178
30	56	70	192
40	95	80	200 i

(b) Why Sample Survey is preferred as compared to census survey?

(a) Calculate the Rank Co-efficient of correlation of the following data:-

X	80 f78	75	75 I 68	67	60	59
Y	12 13	14	4 fl4	16	15	17

(b) Following data are given for marks in English (X) and marks in Math (Y) in a certain examination. (6)

X

Y

Mean marks S.D. of marks

39.5

10.8

47.5

16.8

Co-efficient of correlation is 0.42. Find the Regression equation of Y on X and estimate the marks in Math when Marks in English are 50.

(a) Assume that the probability of an Individual Coalminer being killed in a mine accident during a year is 1/2400, Use Poission Distribution to calculate the probability that in a mine Employing 200 miners there will be at least one fatal accident in a year. (6)

P.T.O.

[-2-]

(b) The contents of Urns i, II and III are as follows - 1 white and 3 red balls, 2 white, 1 black and 1 red balls, 4 white, 5 black and 3' red balls" One Urn is chosen at random and two ball drawn. They happen to be white and Red. What is the probability that they come from Urn I? (9)

Q6 (a) A Normal Population has a mean of 6.8 and standard deviation of 1.5. A sample of 400 members gave a mean of 6.75. Is the difference significant? Check at 5% level of significance (]Z|=1.96 at 5%). (6)

(b) The details of the number of bus accidents that occur during the various days of the week are given in the table given below. Check whether the accidents are uniformly distribution over the week. (9)

Days	Mon	Tue	Wed	Thur	Fri	Sat	Sun
No. of accident	14	16	8	12	11	9	14

Assume a 5% level of significance. The value of chi-square co-efficient at 5,6,7 degree of freedom are 11.07,12.59,14.07 respectively.

Q7 (a) The probability distribution of Independent random variable X and Y are given

beiow.

X	10	15	20	25	Y	8	12	6
P(x)	0.20	0.40	0.30	0.10 \|	P(Y)	0.25	0.55	0.20

If a random variable Z is defined as Z=2X+5Y. What is the expected value of the Random Variable Z.? (9)

(b) Differentiate between Positive Correlation and negative correlation with suitable examples. (6)

Q8 The following data pertains to the number of stereos sold by a company from 1994 to 2000. Calculate the estimated number of stereos that will be sold in 2001 and 2002. (15)