GU Business Statistics 2015 Question Paper [Gauhati University FYUGP BCom 3rd Sem]

In this post we have Shared Gauhati University GU Business Statistics Question Paper 2015 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.

GAUHATI UNIVERSITY
B.Com. Examination – May/June 2015
BUSINESS STATISTICS

Full Marks: 80
Time: 3 hours
The figures in the margin indicate full marks for the questions

1. Answer the following questions: 1×10=10

(a) If the mean of the series x₁, x₂, …, xₙ is x̄, what is the mean of the series x₁/5, x₂/5, …, xₙ/5?
(b) Fill in the blank:
  Cost of living index number measures the change in ____ Price.
(c) Choose the correct answer:
  A schedule is to be filled up by the –
  1) Respondent
  2) Interviewer
(d) Is the following relation true? If not, write the correct form:
  AM ≥ GM < HM
(e) Write down the relation between the two operators Δ and E.
(f) Coefficient of variation of two players A and B are 21.95% and 29.3% respectively. Is ‘A’ more consistent than B?
(g) Fill in the blank:
  The independent variable values in interpolation are termed ____.
(h) Give an example of time series that exhibits seasonal fluctuations.
(i) Choose the correct answer:
  Which of the following is unit-less measure?
  1) Median
  2) Standard deviation
  3) Mean deviation
  4) Coefficient of correlation
(j) If A is an impossible event, what is the probability of occurrence of the event A?

2. Answer the following questions: 2×5=10

(a) State two essential points to be noted while drafting a questionnaire.
(b) State the Factor Reversal Test of Index Number.
(c) Find the Geometric Mean of 0.3, 0.6, 2.4 and 4.8
(d) Explain briefly why corresponding to two correlated variables, there are two regression lines.
(e) What are the two broad ways of controlling the quality of a product?

3. Answer any four of the following: 5×4=20

(a) The average weight of 500 students of a certain college is 151 lbs and the standard deviation of weights is 15 lbs. Assuming that the weights are normally distributed, find the probability that the weight of a student lies between 119.5 lbs and 155.5 lbs.
(b) Discuss the relative advantages and limitations of sample survey and census survey.
(c) Let x and y be two related variables for which 10 pairs of values are available. The variables are transformed to u and v by the following relations:
  2u = x – 39
  3v = y – 25
  The following values of u and v are available:
  ∑u² = 10, ∑u = 148, ∑uv = 123, ∑v = 0, ∑v² = 164
  Find the correlation coefficient between x and y and interpret the result.
(d) Define mathematical expectation. A random variable x has the following probability distribution:

x	1	2	3	4	5
P(x)	1/6	1/6	1/6	1/6	1/6

Find E(x) and Var(x).
(e) Explain the concept of Type-I error and Type-II error associated with testing of statistical hypothesis.

4. (a) The following data give the number of passengers travelled by an Indian aviation flight from Guwahati to Delhi from Monday to Sunday:
  290, 300, 265, 270, 200, 315, 320
(b) Determine the number of passengers that lie between:
  i) x̄ ± σ
  ii) x̄ ± 2σ
(where x̄ = mean, σ = standard deviation)
(4)

5. (a) What is a binomial probability distribution? Mention the properties of this distribution.
(2+4=6)
(b) A problem in Statistics is given to three students A, B and C whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved, if they try it independently?
(4)

6. (a) Fit a straight line to the time series data and obtain the trend value for the year 1977:
(6)

Year	1974	1975	1976	1977	1978	1979
Sales (Rs '000)	35	56	79	80	40	48

(b) Write a brief note on the usefulness of index numbers.
(4)

7. (a) Given the bivariate data:
(3+3=6)

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

(b) Explain the different types of correlation with suitable examples.
(4)

8. (a) What is interpolation?
  Given that:
  f(0) = 8, f(2) = 11, f(4) = 20, f(6) = 41
  Find f(1) using suitable interpolation method
(2+4=6)

(b) Calculate Fisher’s Price Index Number from the following data:
(4)

Commodity	Price (1975)	Price (1990)	Quantity (1975)	Quantity (1990)
A	6	10	50	56
B	2	2	100	120
C	4	6	60	60
D	10	12	30	24
E	8	1	40	36

9. (a) Write short notes on (any two):
(3×2=6)
i) Kurtosis
ii) Limitations of statistics

(b) Discuss the causes of variation in statistical quality control.
(4)

-00000-

Must Visit: GU FYUGP BCom 3rd Sem Main Page, Solved Papers, Notes