PART – B |
(Answer Question No.5 which is compulsory and any two of the rest from this part.) |
5. |
(a) |
Write short notes on any three of the following :
(i) | Limitation of quantitative techniques |
(ii) | Laws of statistics |
(iii) | Primary and secondary data |
(iv) | Lorenz curve |
(v) | Business applications of linear programming. |
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(4 marks each ) |
|
(b) |
Fit a trend line to the following data by the method of least squares :
Year: Production (Tons): | 1995 82 | 1996 94 | 1997 96 | 1998 107 | 1999 100 |
Calculate the trend values and predict the value for the year 2004. |
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(8 marks ) |
6. |
(a) |
Describe the principles and basis of classification of data. |
(8 marks ) |
|
(b) |
Calculate standard deviation from the following data :
Class Interval 0 - 10 10 - 20 20 - 30 30 -4 0 40 - 50 50 - 60 60 - 70 70 - 80 |
Frequency 6 12 22 48 56 32 18 6 |
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(7 marks ) |
7. |
(a) |
Average monthly income of all the workers of a company is Rs.6,000. Average monthly income of male and female workers of the company is Rs.6,200 and Rs.5,200 respectively. Find the percentage of male and female workers in the company. |
(4 marks ) |
|
(b) |
From the following table, showing the income distribution of workers, find the percentage of workers earning between Rs.5,500 and Rs.8,800 :
Monthly Income (Rs.) 0 - 2,000 0 - 4,000 0 - 6,000 0 - 8,000 0 - 10,000 |
No. of Workers 150 250 330 380 400 |
|
(4 marks ) |
|
(c) |
Given the following information :
Mean Standard deviaton |
Production 10 units 8 units |
Rainfall 8 cms 2 cms. |
The coefficient of correlation between production and rainfall is 0.5. Estimate the most probable yield when rainfall is 9 cms. |
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(7 marks ) |
8. |
(a) |
Prove that Fisher’s Ideal Index formula satisfies time reversal test and factors reversal test. |
(5 marks ) |
|
(b) |
Solve graphically the following linear programming problem :
Maximize Z = X + 3Y |
Subject to X + 2Y < 9 |
X + 4Y < 11 |
X – Y > 2 |
X, Y > 0. |
|
(7 marks ) |