In this Post we have shared Gauhati University Bcom 3rd Sem Business Statistics Question Paper 2023 CBCS Pettern. Which Can be Very Useful For Your GU B.Com 3rd Semester Sessional or Final Semester Examination. GU B.com 3rd Business Statistics Question paper 2023 in PDF Gauhati University.
Guwahati University BCom 3rd semester Business Statistics question paper 2023
4 (Sem-3/CBCS) BST/ORB HG 1/2
2023
COMMERCE
(Honours Generic)
Answer the Questions from any one Option.
OPTION-A
Paper: COM-HG-3016
(Business Statistics)
The figures in the margin indicate full marks for the questions.
Answer Question Nos. 1, 2, 3 and any four from the rest.
1. (A) Select the correct answer: 1×4=4
(i) The empirical relationship between mean, median and mode is
(a) Mean - Mode = 3 (Mean - Median)
(b) Mean - Median = 3 (Mean -Mode)
(c) Mode - Mean = 3 (Mean -Median)
(d) None of the above
(ii) Standard Deviation (S.D.) is independent on the change of
(a) origin
(b) scale
(c) origin and scale
(d) None of the above
(iii) Which of the following is a unitless measure?
(a) Median
(b) Standard Deviation
(c) Mean Deviation
(d) Coefficient of Variation
(iv) Salient features responsible for seasonal variation are
(a) weather
(b) social custom
(c) festival
(d) All of the above
(B) Fill in the blanks: 1×3=3
(i) The coefficient of correlation lies between -1 and_______.
(ii) Variance is denoted by_______.
(iii) If A and B are two independent events, then P(A/B) =
(C) Write True or False:
(i) Mean of the binomial distribution is less than variance.
(ii) Coefficient of Standard Deviation is σ/x̄.
(iii) Normal distribution is a continuous distribution.
2. Answer the following questions: 2×5=10
(a) Write two properties of regression coefficients.
(b) Distinguish between Parameter and Statistic.
(c) Find E (X) for the following probability distribution of X :
X :. 0 1 2 3
P(X= x): ⅓ ½ 1/24 1/8
(d) State the Factor Reversal Test (FRT) of Index number.
(e) Three coins are tossed. Write down the sample space.
3. Answer any four of the following questions: 5×4=20
(a) Write down any five essential characteristics of an ideal questionnaire.
(b) The regression lines have the equations 3x+2y=6 and 7x+5y=12. Find x and y.
(c) Describe the procedures of testing a hypothesis.
(d) What do you mean by a "scatter diagram"? How can the correlation between two variables be studied with the help of this diagram?
(e) Determine made for the following distribution :
Marks. No. Of Students
1-5 7
6-10 10
11-15 16
16-20 32
21-25 24
26-30 18
(f) Write a note on the advantages of sample survey over census method.
4. (a) Find Q₁ and D4 from the following data: 6
+-------+-----------+
| Class | Frequency |
+-------+-----------+
| 10 | 10 |
| 5-10 | 15 |
| 10-15 | 25 |
| 15-20 | 40 |
| 20-25 | 35 |
| 25-30 | 20 |
| 30-35 | 5 |
+-------+-----------+
(b) Define coefficient of variation. What are the special uses of this measure? 4
5.(a) (i) State the multiplication law of probability.
(ii) The probability that a person travels by plane is 1/5 and that he travels by train is 2/3 Find the probability of his travelling by plane or train. Also find the probability of not travelling either by plane or train. 2 + 3 + 1 = 6
(b) Define the following terms with one example: 2+2=4
(i) Mutually exclusive events
(ii) Equally likely events
6. (a) Write the definition of Spearman's rank coefficient. Find the rank correlation coefficient for the following data of marks obtained by 10 students in Mathematics and Statistics. 2+5=7
(b) Interpret the values of the correlation coefficient (r).
r = 0 r = +1 , r = - 1
7. (a) Given below the bivariate data:
| X 2 4 5 6 8 11
|-------------------------------------
| Y 18 12 10 8 7 5
(i) Fit a regression line of Y on X and estimate y when X = 5.8
(ii) Fit a regression line of X on Y and estimate X when y = 9.5
(b) Explain the concept of Type I error and Type II error associated with Testing of Statistical hypothesis. 4
8. (a) Write down the mathematical form of the normal distribution. What are the properties of normal distribution? 2+5=7
(b) A random variable X follows Poisson law such that P(X=k) = P(X= k+1). Find mean and variance. 3
9. (a) The following table gives the index numbers for different groups of items with their respective weights for the year 2005 (base year 2000).
Calculate the cost of living Index number and interpret the result. 4+1=5
(b) Mention any five properties of binomial distribution. 5
10. (a) What do you mean by "time series"? Explain various components of time series. 6
(b) From the following data find the trend values by 5 yearly moving average method:
11. (a) Explain null hypothesis and alternative hypothesis.
(ii) A random sample of size 5 is drawn without replacement from a finite population consisting of 41 units. If the population standard deviation is 6.25, what is the standard error of sample mean? 4+2=6
(b) Write short notes on any two of the following:
(i) Sampling error
(ii) Non-sampling error
(iii) Level of significance
*******