GU Business Statistics 2017 Question Paper [Gauhati University FYUGP BCom 3rd Sem]

In this post we have Shared Gauhati University GU Business Statistics Question Paper 2017 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.

2017 (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:
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1. If A is an event then ____ ≤ P(A) ≤ ____.

2. The aggregate of all sample points is called the ____.

3. The independent variable values in interpolation are termed as ____.

4. Cost of Living Index Numbers are known as ____.

(b) Write down the approximate relation between mean, median and mode of a moderately skewed distribution.
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(c) Find the SD of the values given below: 2, 2, 2, 6, 6, 6.
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(d) If the mean of the series X₁, X₂, …, Xₙ is X̄, what is the mean of the series 4X₁, 4X₂, …, 4Xₙ?
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(e) Mention the parameter of Poisson probability distribution.
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(f) Mention two control charts for variables in SQC.
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(g) Select the correct answer:
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If r = ±1, the two lines of regression are:

1. Coincident

2. Parallel

3. Perpendicular to each other

4. None of the above

2. (a) Find the GM of 0.2 and 3.2.
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(b) Distinguish between parameter and statistic.
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(c) Find E(X) for the following probability distribution of X:
| X | 0 | 1 | 2 | 3 |
|---|---|---|---|---|
| P | 1/8 | 3/8 | 3/8 | 1/8 |
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(d) State two essential points to be noted while drafting a questionnaire.
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(e) Mention two properties of correlation coefficient.
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3. Answer any four of the following questions: 5×4=20
(a) Distinguish between primary data and secondary data. Mention various methods of collecting primary data.
(b) Write a note on the importance of Statistics in Commerce.
(c) Define mathematical expectation. A random variable X has the following probability distribution:
| X | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| P(X) | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 |
Find E(X) and Var(X).
(d) Of a certain distribution, the Karl Pearson’s coefficient of Skewness is 0.4, the standard deviation is 8 and mean is 30. Find the mode and the median of the distribution.
(e) Mention the chief characteristics of normal probability distribution.
(f) What is a control chart? Explain the reason for 3σ control limits for a control chart.

4. (a) Calculate mean and coefficient of variation from the following data: 2+4=6
| Marks | 0–10 | 10–20 | 20–30 | 30–40 | 40–50 |
|-------|------|-------|-------|-------|
| No. of students | 5 | 15 | 25 | 10 | 5 |

(b) Define dispersion. Distinguish clearly between absolute and relative measures of dispersion. 1+3=4

5. (a) A problem in statistics is given to five students A, B, C, D, and E. Their respective chances (probability) of solving it are 1/2, 1/3, 1/4, 1/4 and 1/5 respectively. What is the probability that at least one of the students solve the problem?
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(b) If 5% electric bulbs manufactured by a company are defective, find the probability that in a sample of 100 bulbs:
5+1=6

1. None are defective

2. 3 bulbs are defective

6. (a) Fit a straight line trend by the method of least square to the following data: 5+1=6
| Year | 2008 | 2009 | 2010 | 2011 | 2012 | 2013 | 2014 |
|------|------|------|------|------|------|------|
| Production (Rs. crores) | 7 | 10 | 12 | 14 | 17 | 20 | 24 |
Estimate the likely production for 2016.

(b) Write a note on usefulness of Index Number.
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7. (a) Discuss the relative advantages and limitations of sample survey and census survey.
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(b) Explain the concepts of Type I and Type II Error.
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8. (a) The following data are given: 5+1=6
| | X | Y |
|---|---|---|
| Mean | 40 | 6 |
| S.D. | 10 | 1.5 |
Correlation coefficient between x and y = 0.9

1. Find the two regression equations

2. Estimate the value of y when x = 60

(b) Distinguish between interpolation and extrapolation giving examples.
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9. (a) Estimate by Newton’s method of interpolation, the expectation of life at the age 12 years from the following data:
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| Age | 10 | 15 | 20 | 25 | 30 | 35 |
|------|-----|-----|-----|-----|-----|-----|
| Years | 35.4 | 32.3 | 29.2 | 26.0 | 23.2 | 20.4 |

(b) What do you mean by correlation between two variables? Explain different types of correlation.
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10. (a) What are assignable and chance causes of variation in a manufacturing process? When is manufacturing process said to be under statistical quality control?
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(b) Write short notes on any two: 3×2=6

1. Test of hypothesis

2. Kurtosis

3. Level of significance

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