Saurastra University 2006 B.A Statistical Methods (Optional - II) : - III (New ) - Question Paper
SF-7445
Second Year B.A. exam
March/April-2006
Statistical Methods (Optional - II) : Paper - III (New Course)
*SF-7445*
SF-7445 Seat No._Second Year B. A. Examination March/April - 2006 Statistical Methods (Optional - II) : Paper
- III
(New Course)
[Total Marks : 100
Time : 3 Hours]
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m dl P (A U B) ml.
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10
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iAdi [A'> <,Al.
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() HiHd [AdflHi fi dfii Hi'Hl HAl. (/) HiHd [AdflHifi LA.i>lfi hfll
|
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0 |
1 |
2 |
3 |
4 |
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f |
122 |
60 |
15 |
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10
10
2
e_0-5 = 0.6464
[Contd.
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(/) filfil Hlfedl 'fl / HHlHtLdl dmddl lidld 'fllZtHl iflL 10 n1 = 500, x1 = 300, n2 = 1000, x2 = 650
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(/) fil l'& Hlfedl 'fl, / <K>iLfil ddfil Mld 'fllZlHl 10 HAL
n1 = 1000, n2 = 2000, x1 = 60, x2 = 70, o 1 = 3, o2 = 4.
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(/) filfil Hlfedl '2l / <K>iLdL dmdfil Mld 'fllZlHl 10
HAL.
n1 = 16, n2 = 25, x1 = 40, x2 = 50, 2 = 16, s| = 36.
5 M 'Hl /fil Gkfl L 20
(1) MHlHM. [qdflHl fi /Hl'HL
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SF-7445] 2 [Contd.
Instruction : All questions carry equal marks.
1 (a) State and prove, the addition theorem of probability. 10
(b) If A and B are independent events, P(A) = 2,3, 5 P (B) = 13 then obtain P (A U B).
(c) Two dices are thrown at a time, find the 5 probability that, the sum of number on upper side is
at most 7.
1 (a) State and prove the multiplication theorem of 10
probability.
(b) Explain the mathematical probability and the 10
statistical probability.
2 (a) Explain Binomial distribution with p.d.f. 10
(b) For a binomial distribution, mean = 12, and s.d. = 2 10 then obtain p.d.f.
OR
2 (a) Explain Poisson distribution with properties. 10
(b) Fit a Poisson distribution e_0'5 = 0.6464 10
|
x |
0 |
1 |
2 |
3 |
4 |
|
f |
122 |
60 |
15 |
2 |
1 |
3 (a) Explain testing of hypothesis and standard error. 10
(b) For a given data test the significant difference 10
between two proportions.
n1 = 500, x1 = 300, n2 = 1000, x2 = 650
3 (a) Explain the test of significance of difference between 10
two means for large samples.
(b) For a given data, test the significance of difference 10 between two means :
n1 = 1000, n2 = 2000, x1 = 60, x2 = 70, o 1 = 3, o2 = 4.
4 For (2x2) contingency table, prove the formula of 20 C - statistic.
4 (a) Explain the difference between large sample and 10
small sample.
(b) For the given data, test whether the difference between 10 two means is significant or not ?
n1 = 16, n2 = 25, x1 = 40, x2 = 50, 2 = 16, = 36.
5 Answer any two : 20
(1) Normal distribution and properties
(2) F-test
(3) Z-test.
SF-7445] 4 [ 600/13-12 ]
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| Earning: Approval pending. |
