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MANAGEMENT PROGRAMME

Term-End Examination

December, 2OO8

MS-8 : OUANTITATIVE NALYSISFORMANAGERIAL PPLICATIONS

Time : 3 hours Maximum Marks 100

(Weightage 700/o)

Nofe :

(i) Section A hos six questions, eachcarrying 15 marks. Attempt any fourquestions rom this section.

(ii) Section B is compulsory and carries40 marks. Attempt both questions.

(iii) Statistical tables may be supplied on request.

SECTION A

l. Explain Hypothesis testing. What are the stepsinvolved n hypothesis esting ? Discuss he two typesof .errors n testing of hypothesis.

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2. A telephone company in a town has 1000subscribers on its list and collects a fixed charge of

Rs. 400 per subscriber per year. The companyproposes o increase he annual subscription and it isbelieved that for every increase of Re. 1, onesubscriber will discontinue the service. Find whatincrease will bring maximum revenue to the

company.

A husband and wife appear in an interview for twovacancies in the same post. The probability ofhusband s election s 7/7 and that of wife s selectionis l/5. What is the probability hat

(a) both of them will be selected ?

(b) only one of them will be selected ?

(c) none of them will be selected

(d) at least one of them will be selected ?

4. To test the effectiveness f training, a group of5 participants were selected and given a test beforeand after the training. The result of the tests was asunder :

Participant I 2 3 4 5

Score before training 10 L2 1 5 18 1 0Score after training 15 10 1 8 32 25

Can the training be regarded as effective at 5 percentlevel of significance ?

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5 . An automobile company gives you the followinginformation about age-groups and the liking for aparticular model of car which is expected to beintroduced

PersonsAge

< 2 0 2 0 - 3 9 4 0 - 5 9 > 5 0 TotalLiked thecar 140 80 40 20 280Dislikedthe car 60 50 30 80 220

Total 200 130 70 100 500

On the basis of this data, can it be concluded hatthe model appeal s independent f the age-groups(Given v = 3, XSou = 7.815)

6. Write short notes on any threeof the following :

(a) Minor of an element of matrix(b) Equally ikely events

(c) Advantages of probability sampling

(d) Minimax criterion of decision making

(e) Standard deviation and standard error

P. T. O .

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