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(S) Quantitative Analysis for Managerial Applications

December 2007

SECTION A

1. Distinguish between probability and non-probability sampling. Elucidate the reasons for the use of non-probability sampling in many situations in spite of its theoretical weaknesses.

2. The total cost, C(x), associated with producing and marketing x units of an item is given by C(x)=0.005x³ - 0.02x - 3ox + 3000

Find the total cost when output is 4 units and the marginal cost when output is 3 units.

3. Grades for 50 students from a previous MAT test are summarized below :

Class	Frequency
40-50	4
50-60	6
60-70	10
70-80	15
80-90	10
90-100	5

Find the sample mean, the sample variance and standard deviation for the grouped data.

4. The weight of eggs produced by u certain type of hen varies according to a distribution that is approximately normal with mean 6'5 grams and standard deviation 5 grams.

(a) What is the probability that a randomly selected from such a hen weighs more than 11.5 grams

(b) What is the probability that the average of a random sample of 25 eggs from such hens will be less than 5.8 grams ?

5. An advertising firm is trying to determine the demographics for a new product. They have randomly selected 75 people in each of 5 different age-groups and introduced the product to them. The results are given below.

Future activity

	Age Group
18-29	30-39	40-49	50-59	60-69
Purchase frequently	12	18	17	22	32
Seldom purchase	18	25	29	24	30
Never purchase	45	32	29	29	13

State the null hypothesis. If level of significance is 0.01, should the null hypothesis be rejected ? (Given the tabulated value of test statistic is 20.090)

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

(a) Determinant of a Square Matrix

(b) Primary and Secondary Data

(d) The Student's t Distribution

(e) Use of Auto-correlations in identifying Time Series

SECTION B

7. Suppose that the length of time (in hours) a Philips light bulb can stay ON before burning out is normally distributed with mean p and standard deviation 10. 12 Philips bulbs are selected at random and are run until they burn out, recording how long each one lasts. The mean of these 12 bulbs is 709.5 hours. Philips claims that its bulbs have a mean lifetime of at least 718 hours. State in terms of p the hypotheses you should test to investigate this claim. Compute a 980/o confidence interval for p.

8. A study by a roadways company on the eflect 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 data. Predict the number of passengers ticket was Rs. 10. best describes the per 100 km if the

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