Veer Narmad South Gujarat University 2011-2nd Year B.A SB-0141 Statistics higher ( - 1) - Question Paper
Second Year B. A. Examination March/April - 2011 Statistics Higher : Paper - I
Time : 3 Hours] [Total Marks : 70
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Fillup strictly the details of signs on your answer book.
Name of the Examination :
S. Y. B. A.
Name of the Subject:
Statistics Higher : Paper - 1
Student's Signature
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-Subject Code No.: |
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-Section No. (1,2,.....): Nil |
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1994 |
1995 |
1996 |
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1998 |
1999 |
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1996 |
1997 | |
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70 |
75 |
60 |
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80 |
90 |
85 |
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120 |
130 |
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(?) %LH*4a<Cl : GRR NRR. |
Instructions : (1) As per the Instructions No. 1 of the Page No. 1.
(2) Answer all the questions.
(3) Graph paper, logarithmic label and statistical table will be provided on request.
(4) Figures given to the right are marks of the question.
(5) Simple calculator cab be used.
1 Answer briefly 14
(i) State the merits and demerits of simple random sampling.
(ii) Examine the significance of difference between machines and workers for the following ANOVA table.
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(iii) Explain irregular fluctuations. (iv) Demand function of certain commodity is D=300-3P and supply function S=100+5P. Find equilibrium price and quantity. |
equation. If the value of jt are 0, 1, 2, 3. Find trend.
(vi) Write down mathematical demand functions.
(vii) What is total fertility rate ?
(a) Discuss the various points of sample survey.
(b) Distinguish between simple random sampling and stratified random sampling.
(c) I, 2, 3, 4, 5 are observations of a population. From that how many samples are taken of two units ? Show that sample mean is an unbiased estimator of the population mean.
6
(a) Explain two-way classification of analysis of variance method.
(b) Increase in blood pressure after giving the medicines are given below are three medicines equally effective ?
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Medicine |
A |
5 |
4 |
3 |
1 |
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B |
0 |
2 |
1 |
2 | |
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C |
4 |
3 |
4 |
5 |
(a) What is timeseries ? State various method to measure 7 the trend and discuss one of them.
(b) From the following data find trend by four-yearly 7 trend method and indicated both values on graph paper.
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Years |
1989 |
1990 |
1991 |
1992 |
1993 |
1994 |
1995 |
1996 |
1997 |
1998 |
1999 |
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Prices |
2 |
6 |
1 |
5 |
3 |
7 |
2 |
6 |
4 |
8 |
3 |
(a) What is seasonal fluctuations ? State the method for measuring seasonal fluctuations and describe any one.
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(b) Obtain seasonal fluctuations by seasonal average 7 method. | ||||||||||||||||||||
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(a) Explain the meaning of supply and supply law-write 7 down the assumptions underlying supply law.
(b) The demand law of product of a manufacturer is 7
x2
x =--h3x + 50 and total cost function C=75-3P. Obtain
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profit function and the production level x at which the profit is maximized.
OR
(a) Define elasticity of demand and interpret the value of 4
r| = l, T|>1,T|<1.
(b) Explain : Market equilibrium. 3
(c) Demand function of certain commodity is P=180-3x. 7 Find total revenue and what should be The level of production to obtain maximum revenue ?
Attempt any four the following : 14
(i) Write down the methods for collecting vital statistics and explain any one.
(ii) Explain the various columns of construction of life table.
(iii) From the following data find crude death rate and standard death rates and compare two cities in view of health :
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Age |
A |
B | ||
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Population |
Death |
Population |
Death | |
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Below 5 |
15,000 |
360 |
40,000 |
1,000 |
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5-30 |
20,000 |
400 |
52,000 |
1,040 |
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30 above |
10,000 |
200 |
8,000 |
240 |
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X |
h |
dx |
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Px |
Lx |
T x |
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4 |
95000 |
600 |
? |
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? |
4850306 |
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5 |
? |
500 |
? |
? |
? |
? |
? |
(v) From the following informations find GFR, SFR and
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TFR. | |||||||||||||||||||||||||||
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(vi) Explain : GRR and NRR. |
SB-0141] 7 [ 300
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Attachment: |
| Earning: Approval pending. |
