GU Business Statistics 2012 Question Paper [Gauhati University FYUGP BCom 3rd Sem]

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Gauhati University BCom Business 

 Statistics 2012 Question Paper
Full Marks: 80
Pass Marks: 24
Time: 3 Hours

1. (a) Fill in the blanks: (1 mark each)

1. A sample is a ___ of the population.

2. In inclusive classification the class limits and the class boundaries of a class are the ___.

3. Which set of the following deciles are less than the first quartile:

1. D₁ and D₂

2. D₂ and D₃

3. D₁, D₂ and D₃

4. None of the above.

4. What is the difference between the standard deviation of the following two series? 7, 13, 20, 27, 35, 42 and 4, 10, 17, 24, 32, 39

5. Select the correct answer: If r = ±1, the two lines of regression are:

1. Coincident

2. Parallel

3. Perpendicular to each other

4. None of the above.

6. Lock-out in a factory for a month is associated with which component of a time series?

7. If A is an uncertain event associated with a random experiment then?

1. P(A) > 0

2. 0 < P(A) < 1

3. 0 ≤ P(A) ≤ 1

4. None of the above.

(b) Fill in the blanks: (1 mark)

• E(X + Y) = E(X) + ___

(c) What are the parameters of binomial probability distribution? (1 mark)

(d) Mention two advantages of sample survey over census survey. (2 marks)

(e) What do you mean by Skewness? (2 marks)

(f) Mention two differences between correlation and regression. (2 marks)

(g) Write down the probability distribution of the number of heads coming when three coins are tossed together. (2 marks)

(h) Define null hypothesis. (2 marks)

3. Answer any four parts of the following: (5 marks each, 5×4=20)
(a) Write a note on the importance of statistics in commerce.
(b) In a certain class the average marks obtained by 100 students in statistics was 72. The average marks obtained by 70 male students were 75. Determine the average marks of the female students.
(c) In a certain distribution, the Karl Pearson’s co-efficient of Skewness is 0.32, standard deviation is 6.5 and mean is 29.6. Find the mode and the median of the distribution.
(d) In a business venture a man can make a profit of Rs. 50,000 with a probability of 0.6 or can make a loss of Rs. 20,000 with a probability of 0.4. Find his expected profits.
(e) Write a note on the usefulness of index numbers in statistics.
(f) Explain the concept of standard error. Mention its standard errors of some statistics.

4. (a) Calculate mean and standard deviation for the following distribution: (3+4=7 marks)

Age (in year)	20-30	30-40	40-50	50-60	60-70	70-80	80-90
No. of Persons	3	61	132	153	140	51	2

(b) Write a note on the importance of diagrams in statistics. (3 marks)

5. (a) Define Karl Pearson’s coefficients of correlation. Mention its range. (2+1=3 marks)

(b) For the following bivariate data find the regression equation of Y on X: (4 marks)

X	2	4	5	6	8	11
Y	18	12	10	8	7	5

(c) Write a note on utility of interpolation. (3 marks)

6. (a) Indices of groups of items and their weights for the year 2005 (Base year: 2000) are given below: (4 marks)

Groups of items	Food	Clothing	Fuel	House Rent	Others
Group index	150	280	180	300	210
Group weight	55	10	7	10	18

Calculate consumer price index number for 2005.

(b) Discuss briefly the components of time periods. (6 marks)

7. (a) State the additive law of probability for two mutually exclusive events and illustrate it with an example. (2+3=5 marks)

(b) A candidate is called for interview for three different posts. For the first post there are 15 candidates, for the second there are 10 candidates and for the third there are 10 candidates. Find the probability of his getting at least one post. (5 marks)

8. (a) Mention the characteristics of normal probability distribution. (5 marks)

(b) Explain the concepts of Type-I error and Type-II error. (5 marks)

9. (a) What are assignable and chance causes of variation in manufacturing processes? When is manufacturing process said to be under statistical quality control? (4+1=5 marks)

(b) Distinguish between primary data and secondary data. Mention the various methods of collecting primary data. (3+2=5 marks)

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