Test Papers / Previous Question Papers of IGNOU MS8 Quantitative Analysis for Managerial Applications December 2007

Time: 3 hours
Maximum Marks: 100
Weightage: 70%

Note: (i) Section A has six questions, each carrying 15 marks. Attempt any four questions
(ii) Section B is compulsory and carries 40 marks, Attempt both questions.
(iii) Statistical tables may be supplied on demand

MS8 Quantitative Analysis for Managerial Applications

December 2007

SECTION A

1. Distinguish between decision making under certainty and decision making under uncertainty. Mention certain methods for solving decision problems under uncertainty. Discuss how these methods can be applied to solve decision problems.

2. Use Cramer's rule for a 3 x 3 system of linear equations to solve the following system :

2x - y + 3z = - 3

-x-y+3z = -6

x-2y-z=-2

3. For the data given below, compute the quartile deviation.

Monthly wages (Rs.)	No. of workers
Below 850	12
850 - 900	16
900 - 950	39
950 - 1000	56
1000 - 1050	62
1050 - 1100	75
1100 - 1150	30
1150 and above	10

4. The members of a bonsulting firm rent cars from three rental agencies : 60% from agency 1, 30% from agency 2 and 10% from agency 3. lI 9o/o of the cars from agency 1 need a tune-up , 2Oo/0. of the cars from agency 2 need a tune-up and 6% of the cars from agency 3 need a tune-up, what is the probability that a rental car delivered to the firm will need a tune-up ?

5. To see whether silicon chip sales are independent of where the US economy is in the business cycle, data have been calculated on the weekly sales of a firm and on whether the US economy was rising to a cycle peak, at a cycle peak, falling to a cycle peak or at a cycle trough. The results are

	Weekly chip sale
	High	Medium	Low	Total
Economy at peak	20	7	3	30
Economy at trough	30	40	30	100
Economy rising	20	8	2	30
Economy falling	30	5	5	40
Total	100	60	40	200

State the null hypothesis. At 0.10 significance level, what is your conclusion ?

(Given the tabulated value of test statistic is 10.645)

6. Write short notes on any three of the following :

(a) Concept of Maxima and Minima

(b) Types of classification of data

(d) Multi-stage sampling & Multi-phase sampling

(e) Box-Jenkins Models for Time Series

SECTION B

7. In order to test whether marathon races are bad for health, a researcher took a random sample of 400 runners who participated in the Delhi half-marathon and found that 13% of them got sick in the two-week period after the marathon. In a second sample of 400 runners who did not participate in the marathon, only 3o/o were sick'in the same two-week period. What would be the null hypothesis ? Find a 9oo/o confidence interval for the percentage of Delhi half-marathon runners who got sick in the two-weeks after the race.

8. A study by a roadways company on the effect of bus-ticket prices on the number of passengers produced the following results :

Ticket price Rs.	Passengers per 100 km
25	800
30	780
35	780
40	660
45	640
50	600
55	620
60	620

Develop the estimating equation that best describes the dala. Predict the number of passengers per 100 miles if the ticket were Rs. 10.

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