Mahatma Gandhi University (MGU) 2011 M.Com Commerce Second semester quantitative techniques , - Question Paper
G 7786 (Pages: 2) Reg. No..<3.SLWlty...............
Name......
M.Com. DEGREE EXAMINATION, JUNE 2011
First Semester
Faculty of Commerce
Paper IVQUANTITATIVE TECHNIQUES
(For First Semester Private candidates only)
Time : Three Hours Maximum : 75 Marks
Use of ordinary calculators and Statistical tables permitted.
Section A
Answer all questions.
Each question carries 2 marks.
Each answer not to exceed half a page.
\ \A. Give two business applications of probability theory.
Dsitinguish between Sample space and Sample point.
What is hypothesis testing ?
Explain Stratified Random Sampling._______
Define Poisson Probability Distribution.
6* Distinguish between Dependent events and Independent events. _ v/7. Give two assumptions of ANOVA.
N
\J&) Explain with examples the term Standard Error. Define Bayes Theorem.
What is Chi-Square test ? Give its uses.
*
(10 x 2 = 20 marks)
Section B
Answer any five questions.
Each question carries 5 marks.
Each answer not to exceed one page.
11. Give the relative frequency definition of probability. What are its limitations ?
L2. Why is sampling necessary in statistical investigations ?
13. Is there any difference between the mean and the expected value of a random variable ? Explain. Explain the steps in one-way analysis of variance.
Find the mean and standard deviation of marks in an examination where 44 percent of candidates obtained marks below 55 and 16 percent got above 80 marks, assuming normal distribution.
16. A speaks truth in 70 percent cases and B in 5 % cases. In what percentage of cases they are likely to contradict each other in stating the same fact ?
17. Out of 600 families with 5 children each, how many would be expected to have (a) 2 boys and 3 girls ;(b) At least a boy ; (c) No girls.
1/ Between 10 A.M. and 12 Noon, the average number of telephone calls coming into the swtich L board per minute is 2. Find the probability that during a particular minute there will be (a) No y calls at all; (b) Exactly 2 calls.
(5 x 5 = 25 marks)
Section C
Answer any one question.
The question carries 10 marks.
Answer not to exceed three pages.
Oy <1$ Define Normal distribution. What are its characteristics ?
20. State briefly the steps involved in Hypothesis testing.
(1 x 10 = 10 marks)
Section D
Answer any one question.
The question carries 20 marks.
Answer not.to exceed five pages.
>2'1. The following data show the number of claims processed per day for a group of four insurance company employees observed for a number of days. Test the hypothesis that the employees mean claims per day are all the same. Use the .05 level of significance.
|
Employee 1 |
.. 15 |
17 |
14 |
12 | |
|
Employee 2 |
.. 12 |
10 |
13 |
17 | |
|
Employee 3 |
.. 11 |
14 |
13 |
15 |
12 |
|
Employee 4 |
.. 13 |
12 |
12 |
14 |
10 ? |
V
|
Attachment: |
| Earning: Approval pending. |
