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| ST. JOSEPH’S COLLEGE OF COMMERCE (AUTONOMOUS) | ||||||||||||||||||||||||||||||||||||
| END SEMESTER EXAMINATION – MARCH/APRIL 2016 | ||||||||||||||||||||||||||||||||||||
| B.COM(Regular) – II SEMESTER | ||||||||||||||||||||||||||||||||||||
| C1 15Ar204: BUSINESS STATISTICS AND RESEARCH TECHNIQUES | ||||||||||||||||||||||||||||||||||||
| Duration: 3 Hours Max. Marks: 100 | ||||||||||||||||||||||||||||||||||||
| SECTION – A | ||||||||||||||||||||||||||||||||||||
| I) | Answer ALL the questions. Each carries 2 marks. (10×2=20) | |||||||||||||||||||||||||||||||||||
| 1. | Define statistics. | |||||||||||||||||||||||||||||||||||
| 2. | If mean = 3.95 and Z = 4.01 then Md=?? | |||||||||||||||||||||||||||||||||||
| 3. | Calculate the mean and median for the following data
70, 65, 55, 75, 80, 85, 65, 70, 95 |
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| 4. | How do you find the combined Arithmetic Mean of two series of data? | |||||||||||||||||||||||||||||||||||
| 5. | Find the range of weight of 10 students from the following
65, 19, 86, 15, 17, 18, 8, 4, 9, 7. |
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| 6. | What is Time series? Mention the different methods of Time Series. | |||||||||||||||||||||||||||||||||||
| 7. | What is Null & Alternative hypothesis? | |||||||||||||||||||||||||||||||||||
| 8. | Give the meaning of Research. | |||||||||||||||||||||||||||||||||||
| 9. | Distinguish between regression and correlation. | |||||||||||||||||||||||||||||||||||
| 10. | A problem in statistics is given to five students A, B, C, D and E. Their chances of solving it are 1/2; 1/3; 1/4; 1/5 and 1/6. What is the probability that the problem will be solved? | |||||||||||||||||||||||||||||||||||
| SECTION – B | ||||||||||||||||||||||||||||||||||||
| II) | Answer any FOUR questions. Each carries 5 marks. (4×5=20) | |||||||||||||||||||||||||||||||||||
| 11. | Define tabulation. What are the different parts of it? | |||||||||||||||||||||||||||||||||||
| 12. | Briefly discuss the characteristics of statistics. | |||||||||||||||||||||||||||||||||||
| 13. | A box contains 7 white and 2 black marbles , find the probability of drawing
a) A white marble b) A black marble c) white or a black marble. |
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| 14. | Co-efficient of variations of two series are 80% and 100 % respectively. Their variances are 64 and 36 respectively. What are their arithmetic mean? | |||||||||||||||||||||||||||||||||||
| 15. | From the following data, calculate Rank correlation co-efficient :
X 80 30 60 40 20 66 96 70 Y 30 24 28 68 55 43 38 40 |
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| 16. | Draw a frequency polygon for the following data.
Weight (in kg) Number of Students 30-35 4 35-40 7 40-45 10 45-50 18 50-55 14 55-60 8 60-65 3
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SECTION – C |
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| III) | Answer any THREE questions. Each carries 15 marks. (3×15=45) | |||||||||||||||||||||||||||||||||||
| 17. | a) From the following frequency distribution table calculate mean, median & mode.
b) The following table gives data regarding leading sources of technology transfer (in percentage):
Represent the data by a suitable Pie Diagram. (10+5) |
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| 18. | You are given below the daily wages paid to the workers in two factories X and Y:
Calculate Mean, Standard Deviation and Coefficient of Variation answer the following: (i) Which factory pays higher average wage? (ii) Which factory has more consistent wage structure?
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| 19. | A movie producer is bringing out a new movie. In order to map out his advertising campaign, he wants to determine whether the movie will appeal most to particular age group or whether it will appeal equally to all age groups. The producer takes a random sample from persons attending preview of the new movie and obtains the following results:
Apply chi-square test at 5% level of significance. What inference will you draw from the above data taking the hypothesis that movie appeals equally to all age groups? |
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| 20. | Below are given the figures of production (in thousand
quintals) of a sugar factory: Year : 2009 2010 2011 2012 2013 2014 2015 Production : 80 90 92 83 94 99 92 (a) Fit a straight line trend to these figures. (b) Plot these figures on a graph and show the trend line. (c) Estimate the production in 2016. |
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| 21. | a) A husband and wife appear in an interview for two vacancies in the same post. The probability of husband’s selection is 1/7 and that of wife’s selection is 1/5. What is the probability that:
(i) Both of them will be selected. (ii)Only one of them will be selected, and (iii) None of them will be selected. b) You are given below the following information about advertising and sales:
(a) Calculate the two regression lines. (b) Find the likely sales when advertisement expenditure is Rs. 25 crore. (5+10) |
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| SECTION – D | ||||||||||||||||||||||||||||||||||||
| IV) | Case Study – Compulsory question. (1×15=15) | |||||||||||||||||||||||||||||||||||
| 22. | a) Calculate Karl Pearson’s coefficient of correlation between expenditure on
advertising (X) and sales (Y) from the data given below: X: 39 65 62 90 82 75 25 98 36 78 Y: 47 53 58 86 62 68 60 91 51 84
b) Compute 1st quartile, 3rd quartile and the co-efficient of quartile deviation from the following data. Class 0-100 100-200 200-300 300-400 400-500 Frequency 14 25 38 26 17 (8+7)
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