Tamil Nadu Open University (TNOU) 2009 M.Com Commerce Advanced business statistics - Question Paper
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PG-231 MCO-15M.Com. DEGREE EXAMINATION -JUNE 2009.
(AY 2004-05 batch onwards)
Commerce
First Year
ADVANCED BUSINESS STATISTICS
Time : 3 hours Maximum marks : 75
PART A (3 x 5 = 15 marks)
Answer any THREE questions.
All questions carry equal marks.
1. Explain the managerial uses of Correlation Analysis.
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2. What do you mean by regression? Explain how the partial regression is different from multiple regression.
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3. Explain the conditions for the application of Poisson distribution.
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4. What is meant by Sampling? Explain the types of sampling.
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5. Discuss any one method for solving factor and Cluster analysis.
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PART B (4 x 15 = 60 marks)
Answer any FOUR questions.
All questions carry equal marks.
6. (a) The Co-efficient of Correlation between X and Y is 0.64. Their Co-variance is 16. The
variance of X is 9. Find the Standard deviation of Y .
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(b) In a Correlation study the following values are obtained. X = 65 Y = 67 sx = 2.5 sy = 3.5 r = 0.8 Find the two regression lines.
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7. (a) A bag contains 6 white, 4 red and 10 black balls. Two balls are drawn at random. Find the probability that they will both be black.
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(b) Eight Coins are thrown simultaneously. Find the change of obtaining
(i) Atleast 6 heads
(ii) No heads
(iii) All heads.
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(c) Find the chance of drawing a Knave, a queen and a king in that order from a pack of Cards in three consecutive draws, the Cards drawn not being replaced.
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8. The following table gives the number of good and bad parts produced by each of three shifts in a factory.
Time Bad Goo
d
Day Shift 130 900 Evening Shift 170 700 Night Shift 200 400
Is there any association between the shift and the quality of parts produced? (x005 = 5.991 df = 2).
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9. Two independent samples of 8 and 7 items gave the following values : Sample A : 9 11 13 11 15 9 12 14 Sample B : 10 12 10 14 9 8 10 Examine whether the difference between the means of two samples is significant at 5% level. E0Ui 8 0p 7-ot tAot uZUtot Vu@<SOT RGy Q<ST@<S<SUuL@OTOTOT. T<fifl A : 9 11 13 11 15 9 12 14 T<fifl B : 10 12 10 14 9 8 10 5% Af< CS TAsOT ffIJTfflfl ClG GapukQpuT? got Q\iLi<s. 10. A news paper agent assigns probabilities to the demand for a magazine as follows : Copies demanded : 1 2 3 4 Probability : 0.4 0.3 0.2 0.1 A copy of the magazine sells for Rs. 7 Costs Rs. 6. What can be the maximum possible EMV if the agent can return the unsold copies for Rs. 5 each. j0 <si0<s0 Rp0_ CuP Gu |irnw QffiLwuuLkOTOTS- Cupsa OTS<OIU<0<S : 1 2 3 4 |<spu<s| : 0.4 0.3 0.2 0.1 CuP dpufflffl 0 0. 7, A_U<s 0. 6. dpufflFSTu CuP0OT 0- 5 (j<iiQ<in'ap) V0u Aiuam Au 0@ aV uL\rffl EMV OTaa<ains C0@? 11. The distribution of number of suicides of women is given below. No. of Studies : 0 1 2 3 4 5 6 7 Frequency : 364 376 218 89 33 13 2 1 Fit a Poisson distribution and test the goodness of fit. QakUauuLkOTOTOT. U0Qp0pot 0 1 2 34567 aQS : 364 376 218 89 33 13 2 1 CUP1 uij aSkiZx Quzx. 12. The wages of 10 workers per week taken at random from a factory are given below : Wages 578 572 570 568 572 (Rs.) : Wages 578 570 572 596 584 (Rs.) : Is it possible that the mean wage of all workers of this factory is 580? (Given y = 9, t005 = 2.26). J0 Qup\ uOli_ifl| 10 QuninwiT<s<rfl in'ij Rp QffinkUffiuuLkOTOTOT. 578 572 570 568 572 (Qu<s) : 578 570 572 596 584 (Qu<s) : aotzx ffijraifl 0. 580 b CU? (QffiTkUauuLLx : y = 9, t0 05 = 2.26) 8 PG-231
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 Tamil Nadu Open University (TNOU) 2009 M.Com Commerce Advanced business statistics - Question Paper
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