2022/TDC (CBCS)/EVEN/SEM/BBACC-202T/191
TDC (CBCS) Even Semester Exam., 2022
BUSINESS ADMINISTRATION
(2nd Semester)
Course No.: BBACC-202T
(Statistics for Business Decisions)
Full Marks: 70
Pass Marks: 28
Time: 3 hours
The figures in the margin indicate full marks for the questions
SECTION – A
Answer any ten questions: 2 x 10=20
1. Prove that sum of deviations of a set of observations from the mean of observations is zero.
2. In an asymmetrical distribution if the difference between mean and mode is 60, then what will be the difference between mean and median?
3. What is meant by skewness?
4. What is meant by perfect positive correlation?
5. Prove that Karl Pearson correlation coefficient ® is the geometric mean of the two regression coefficients.
6. What is the use of rank correlation?
7. Mention the use of time series.
8. What is meant by index number?
9. Define ‘base year’ and ‘current year’ in the context of constructing an index number.
10. What is meant by worksheet?
11. How do you find descriptive statistics tool in the data analysis ToolPak?
12. What are the disadvantages of using MS-Excel for statistical analysis?
13. A coin is tossed twice. What is the probability of getting exactly one head?
14. What is meant by random variable?
15. Write down the probability mass function of binomial distribution.
SECTION – B
Answer any five questions: 10 x 5=50
16. Prove that standard deviation of two values is half the difference of the values.
17. The scores of two batsmen in five innings are listed in the following table:
|
Batsman-I |
Batsman-II |
|
70 84 68 71 64 |
21 25 23 27 30 |
Determine which batsman is more consistent.
18. Prove that Karl Pearson correlation coefficient (r) is independent of the change of origin but dependent on scale.
19. The marks of two students in five papers are listed in the following table:
|
Student-I |
Student-II |
|
70 71 70 74 76 |
72 76 72 71 78 |
Calculate Spearman rank correlation coefficient applying the correlation factor if necessary.
20. Discuss the components of time series.
21. Prove that Fisher’s index number satisfies the time reversal test and the factor reversal test.
22. Mention the steps involved in installing data analysis ToolPak.
23. How to calculate Karl Pearson correlation coefficient using MS-Excel?
24. There are three bags (1, 2 and 3). Bag 1 contains 4 black and 2 red balls. Bag 2 contains 5 black and 3 red balls. Bag 3 contains 6 black and 4 red balls. A ball is transferred from bag 1 to bag 2 after which a ball is transferred from bag 2 to bag 3.Then a ball is picked from bag 3. What is the probability that the ball is black?
25. Write a detailed note on the uses of Poisson distribution.
***
Post a Comment
Kindly give your valuable feedback to improve this website.