GU Business Statistics 2016 Question Paper [Gauhati University FYUGP BCom 3rd Sem]

In this post we have Shared Gauhati University GU Business Statistics Question Paper 2016 Pdf, B.Com Non-CBCS GU, Which Now very beneficial for FYUGP B.Com 3rd semester All Major Students of Gauhati University. So read this post from top to bottom and get familiar with the Question Paper.

2016 (May–June)
COMMERCE (Speciality)
Paper: 304 (Business Statistics)
Full Marks: 80
Time: 3 Hours
The figures in the margin indicate full marks for the questions

1. (a) Fill in the blanks:
1×4=4

1. A detailed investigation of each item of a source is known as ____.

2. ____ is known as the best measure of central tendency.

3. Mean – Mode = ____.

4. The correlation coefficient r lies between ____.

(b) Choose the correct answer:

1. If A and B are two mutually exclusive events, then
   a. P(A∩B) = 0
   b. P(A∪B) = P(A)P(B)

2. Employees’ strike in a company is an example of
   a. Secular trend
   b. Seasonal variation
   c. Cyclical variation
   d. Irregular variation

3. In case of binomial distribution
   a. Mean is equal to variance
   b. Mean is less than variance
   c. Mean is greater than variance

4. Index number reveals the state of
   a. Inflation
   b. Deflation
   c. Both a) and b)

(c) State true or false: 1×2=2

1. “The mean, median and mode of a normal distribution is 10, 12 and 10 respectively.” (Give reason)

2. For a frequency distribution AM ≤ GM ≤ HM

2. (a) The CLI (Cost of Living Index Number) in 2005 is 1300, taking 2,000 as base year. A person was getting a monthly salary of Rs. 750 in 2,000 and Rs. 1,500 in 2005. How much money should be given as an extra allowance in 2005 to maintain his standard of living as in 2000?
2

(b) Give one application each of median and mode.
2

(c) What are the two broad ways of controlling the quality of a product?
2

3. Answer any four of the following questions: 5×4=20
(a) What do you mean by diagrammatic representation of statistical data? Write a brief note on it.
(b) If a random variable X follows normal distribution with mean 100 and standard deviation 4, then find P(92 < X < 108). Given that P( (X – 100)/4 > 2) = 0.0275
(c) The mean height of a sample of 16 fresh students of a certain college is 1.67 m and standard deviation is 0.16. It is given that the mean height of the previous students was 1.69 m. Test whether the mean height of the fresh students significantly differs from the mean height of the previous students.
(d) Discuss briefly about the tests of adequacy of an index number.
(e) In throwing two dice simultaneously, find the probability that the sum of points on the dice is neither 7 nor 11.

4. (a) State Lagrange’s formula. What are its advantages over Newton’s formula of interpolation?
6

(b) Salary (in ‘000): 20–30 30–40 40–50 50–60 60–70 70–80
No. of Persons: 16 20 23 25 21 15
Calculate the standard deviation of salary.
6

5. (a) For the following bivariate distribution fit a regression line of marks in Test-I on marks in Test-II:
Marks in Test I: 15 22 14 12 10 11 14
Marks in Test II: 16 14 15 15 16 13 17
Also estimate the marks in Test I when marks in Test II is 17.
5+2=7

(b) The following table gives the number of students against marks obtained in a test:
Marks less than: 40 50 60 70 80
No. of students: 90 112 138 144 150
Estimate the number of students who obtained marks between 40 and 45.
3

6. (a) Discuss the different components of a time series analysis with example.
6

(b) The following table gives information on budgets of middle-class families in a certain city:
Items: Food 35%, Fuel 10%, Garment 20%, House rent 15%, Others 20%
Expenditure: 250, 50, 60, 80, 200
250, 50, 80, 100, 200
Calculate the cost of living index number.
4

7. (a) What is a Poisson distribution? Give example. Under what conditions a binomial distribution can be converted to a Poisson distribution?
2+4=6

(b) In a distribution, AM = 65, Median = 70 and coefficient of Skewness = 0.6. Find the standard deviation of the distribution.
4

8. (a) Discuss the advantages of sample survey over census survey.
6

(b) Construct a difference table using the following data:
Age (in years): 15 20 25 30 35
Premium (in Rs.): 25 32 36 45 51
4

9. (a) Write short notes on any two:
3×2=6

1. Limitation of Statistics

2. Type-I error and Type-II error of testing of hypothesis

3. Mathematical expectation with example

4. Properties of regression coefficient

(b) Distinguish between process control and product control.
4

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