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Saurastra University 2006 B.A Statistical Methods (Optional - II) : - IV (New ) - Question Paper

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SF-7446
Second Year B.A. exam
March/April-2006
Statistical Methods (Optional - II) : Paper - IV (New Course)


*SF-7446*

SF-7446    Seat No._

Second Year B. A. Examination March/April - 2006 Statistical Methods (Optional - II) : Paper - IV

(New Course)

Time : 3 Hours]    [Total Marks : 100

Mffifil lHl l .

C\    'O

1 () HbldL [fi>< fi Hlfi [A'> XmL.    6

(/) AVdfiL MPldL [fi>< P = ajx + b . F>lfl AVdfil .lA 14

\ /    NO    NO

W. 4 dL cHlfl 40 H . F>lfl .lA W. 6 dl HP I 30

s    N     *\    N - *N,*N     *N    *N , *\

H . ,lM a fi b m'L. Hlfi LH VAW' m'L.

HPldL A0 A0 'fl lA W. 8 HlS HP I m'L.

1 () HPlfil <m Hl'Zdl fi dfil M.M2 HH.AL. Hl'Alfil [A[a' 14 '[dL HAL.

(/) Hilfil [fi>< d = 24 -JP L> dL P = 25 B<d HPlfil 6 H-HHl'Zdl ml.

C\

2 () /.fl HHd<Hl HH.AL. /.fl HHd<Hlfi HP I fi BHdfil HHl 1 2

\ /    NO    NO NO

HtA HAL. flfil /2 HHd<Hl 'fl dl H2 l[d

'O    c

HH.AL.

(/) filfil [A'>Lfil HHd<Hl B<d fi HHd&d JL ml.    8

\ /    NO    NO

HPlfi fck>    HflSlfi fck>

o    o o

(1)    D = 55 - 2 P    (1) S = 20 + 1.5P

(2)    D = 26-2P    (2) S = 2P2 - 10P + 2

Al

2 () LHafil m    [A'> fi &ld lH?.lfil [A'> 8

HAL.

, , . . n    1800 - P . . .    

(/) HlfiL IfiX =- L> dL d 'fl lHafil    1 2

2

[A'> ml. HdH lHafildL A0 fl d 'fl HdH lHafil ml. HklH lHafil Hlfil HPl fi B<d m'L.

C l<HHfil flfil fi np - MHdl flfil HmL.

3


20


3.1

P - MHdl flfil =HHAL. filfil Hlfedl Hfll P - MH afll. fl [fil HlS n = 100.

1

2

3

4

5

6

7

8

9

10

itflm, q*dl :

30

40

35

20

24

36

32

30

28

25

3


20


4 X fi R l<HHfil flfil (AVdfl HAL.

20

20


3.1

4 filfil Hlfedl Hfll X fi R l<HHfil flfil flL

[d?l

1

2

3

4

5

6

7

8

9

10

X

318

329

335

337

328

326

324

391

331

351

R

21

36

10

5

5

50

40

30

60

20

A2 = 0.58, D3 = 0, D4 = 2.12

5 A fiL' HL (M 'Hl /)

20


(1)    lfiHfiL ('ld

(2)    3o -[fi>hlHl #HlL

(3)    [*A[d    >LfilL

(4)    ASN, ATI, AOQL, LTPD.

[Contd.

Instruction : All questions carry equal marks.

1 (a) Explain the demand law and demand function.    6

(b) The demand law of a commodity is P = ajx + b. When 14 the price of commodity was Rs. 4, then demand was 40 units. When the price becomes Rs. 6, then demand comes to 30 units. Find the value of a and b. Find actual mod of demand. Draw the demand curve and find the demand, for price Rs. 8

OR

1 (a) Explain the elasticity of demand and its different    14

methods.

(b) If the demand law is d = 24 - Jp, then obtain the    6

value of elasticity of demand at price P = 25.

(a)


What is market equilibrium ? Explain importance in reference of demand and price. Explain the impact of tax on equilibrium with diagrams.

Find the equilibrium price and demand of the following functions :


2


12


(b)


8


Demand function

(1)    D = 55 - 2 P    (1)

(2)    D = 26 - 2 P    (2)

OR

What is Revenue ? Explain the revenue function and marginal revenue function.

Find the revenue function if the demand function

1800 - P


Supply function S = 20 + 1.5P S = 2 P2 - 10 P + 2


(a)


2


8


(b)


12


Draw the curve of maximum revenue


is x


2


and decide the maximum revenue. Datermine the price and demand to get the maximum revenue.


3 Explain C -chart and np - chart.    20

OR

3 Explain P - chart and prepare P - chart for given data 20 for every sample n = 100.

Sample

1

2

3

4

5

6

7

8

9

10

Defective items :

30

40

35

20

24

36

32

30

28

25

4 Explain X and R-chart in brief.

20

20


OR

4 Prepare X and R-chart for the given data

Sample

1

2

3

4

5

6

7

8

9

10

X

318

329

335

337

328

326

324

391

331

351

R

21

36

10

5

5

50

40

30

60

20

A2 = 0.58, D3 = 0, D4 = 2.12

5 Write short note : (any two)

20


(1)    Theory of runs

(2)    3g- control limits

(3)    Acceptance sampling plans.

(4)    ASN, ATI, AOQL, LTPD.

[ 600/13-21 ]

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SF-7446]    4







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