| Post Name | STATISTICAL ASSISTANT GR II -ECONOMICS AND STATISTICS |
|---|---|
| Question Paper Code | 011/2015/OL |
| Category Code | 195/2013, 011/2015 |
| Date of Test | 29 June 2015 |
| Medium of Question | ENGLISH |
| Exam Type | Online Examination |
| Total Questions | 100 |
1
Drafting Committee chairman of Indian Constitution
Answer
B. Dr. B R Ambedkar
2
The President of India who officially issued a state of emergency in 1975
Answer
C. Fakruddin Ali Ahmad
3
Right to Information Law was passed on
Answer
B. 15 June 2005
4
The ruler who founded the first English school in Travancore
Answer
C. Swathy Thirunnal
5
First travelogue in Malayalam
Answer
B. Varthamana Pustakam
6
Founder of Prathyaksha Raksha Sabha
Answer
D. Poykayil Yohannan
7
Travancore State Congress was formed in
Answer
C. 1938
8
The leader of Ezhava Memorial
Answer
B. Dr. Palpu
9
Paliyam Satyagraha was in the year
Answer
C. 1948
10
Who started the monthly publication Gramadeepam ?
Answer
A. K. Kelappan
11
Who among the following started a branch of Brahma Samaj at Kozhikode in 1898 ?
Answer
A. Ayyathan Gopalan
12
Seethamuthal Sathyavathivare is a work of
Answer
B. Lalithambika Antharjanam
13
The Malayali who delivered his speech in Malayalam at Oxford University in 1959
Answer
B. Mannathu Padmanabhan
14
The leader of the Yachana Yatra in 1931
Answer
C. V.T. Bhattathiripad
15
Who organized a Misrabhojanam in 1917 at Kozhikode
Answer
D. Sahodaran Ayyappan
16
Who is popularly known as Kerala Vyasan ?
Answer
C. Kodungalloor Kunjikkuttan Thampuran
17
The birth palace of Ulloor S. Parameswara Iyer
Answer
D. Changanacherry
18
Temple Entry Proclamation was declared on
Answer
D. 12 November 1936
19
The Pope who canonized Mar Kurikos Elias Chavara on 23 November 2014
Answer
C. Pope Francis
20
Founder of Bachpan Bachao Andolan
Answer
B. Kailash Satyarthi
21
Who among the following is the real giant in the development of the theory of Statistics?
Answer
B. Prof. R.A. Fisher
22
A suitable method of collecting data in cases where the informants are literate and spread over a vast area:
Answer
B. Mailed questionnaire method
23
The point of intersection of ogives correspond to:
Answer
D. Median
24
In a ratio graph, the vertical scale starts with:
Answer
D. Any positive number
25
Out of 19 students appeared for a test only 10 students are qualified and their scores are respectively 36, 45, 58, 63, 39, 43, 47, 34, 41 and 50. The median mark of all students is :
Answer
C. 34
26
The arithmetic mean and harmonic mean of certain data set are respectively 90 and 40. Then the geometric mean is :
Answer
B. 60
27
The arithmetic mean of two sample observations is greater than the smallest by their :
Answer
A. Standard error
28
The harmonic mean of certain data set is 25 and if each observation is multiplied by 2. Then the harmonic mean of new data set is :
Answer
D. 50
29
In Lorenz curve , the diagonal line y=x is known as:
Answer
C. Line of equal distribution
30
If 25% of the items in a distribution are less than 10 and 25% are more than 40, the quartile deviation is :
Answer
C. 15
31
The standard deviation of the observations x and y is :
Answer
A. Absolute value of (x-y)/2
32
The coefficient of variation of first four natural numbers is : 1
Answer
C. sqrt(0.2)
33
The distribution of mortality rates with respect to the age after ignoring the accidental deaths will give:
Answer
A. Positively skewed distribution
34
Which one of the following is true for a discrete distribution?
Answer
A. β2 > 1
35
The sum of squares of deviations is least when measured from :
Answer
B. Mean
36
The axiomatic approach to probability was proposed by:
Answer
D. A.N. Kolmogorov
37
10 persons are seated on 10 chairs at a round table. The probability that two specified persons are sitting next to each other is: 2
Answer
C. 9 1
38
Which of the following statement is most correct:
Answer
C. P(A∩B) ≤ min(P(A),P(B))
39
A random sample of 10 different observations is given. How many samples of {(x, y) : x < y} can be formed is:
Answer
A. 45
40
If P(A) = P(B) = P(C) = 0.5, P(A∩B) = P(A∩C) = P(B∩C) = 0.2 and P(A∩B∩C) = 0.1, then P(A − B − C) is:
Answer
B. 0.20
41
The probability of choosing a square of dimension 2 from a chess board of dimension 8 is: 1
Answer
D. None of these
42
If A and B are exhaustive and equally likely events with P(A∩B) = 0.2, then P(A) is:
Answer
B. 0.4
43
A problem in statistics is given to 3 students A, B and C whose chances of solving it are , and respectively. The probability that exactly one solves the problem is: 2 4 4 19
Answer
D. 32
44
Which of the following statement is true ?
Answer
B. Independent events may be disjoint
45
Five events are said to be mutually independent if they have to satisfy ........... conditions:
Answer
A. 26
46
Two friends decided to meet between 2pm and 3pm with the proviso that one waits the other for at most 20 minutes. The chance of their meeting is: 1
Answer
D. 9
47
Bayes' formula is used to obtain the probabilities of:
Answer
A. Posterior events
48
The distribution which holds the property non correlation of random variables implies independence is:
Answer
A. Bivariate normal
49
The Union Minister of Statistics and Program Implementation is:
Answer
A. Dr. V. K. Singh
50
The mean sum of squares is obtained by dividing the sum of squares by:
Answer
B. Degrees of freedom
51
The method of moment estimator for Θ in a uniform distribution over [-Θ, Θ ] with sample mean 10 and sample variance 4 is:
Answer
A. 2√3
52
A consistent estimator of Θ 2 in a Poisson distribution with parameter θ is:
Answer
A. Square of sample mean
53
The degrees of freedom associated to error sum of squares in one-way ANOVA having n observations and k treatments is:
Answer
C. n-k
54
The sum of all two digit numbers formed using the digits 1, 2, 3 and 4 if each digit is used exactly once is:
Answer
C. 330
55
The moment-generating function M(t) of a random variable X exists at:
Answer
C. Neighborhood of zero
56
If x = r cos θ and y = r sin θ, with r > 0 and 0 < θ < π/2, then dx dy is:
Answer
D. r dr dθ
57
The characteristic function of a standard normal variate is: 2 −t
Answer
A. e 2 t2
58
Francis Galton is pioneered in the study of:
Answer
C. Regression
59
The correlation coefficient of the bi variate data: (1,10), (2,9), (3,8) and (4,7) is
Answer
B. -1
60
Let r(x,y) = 0.8. Then the explained variation in y due to x is:
Answer
B. 64%
61
If both regression coefficients are positive, then their sum is always:
Answer
D. None of these
62
The line of best fit can be obtained by the principle of:
Answer
A. Least squares
63
The coefficients of determination is the square of:
Answer
A. r
64
If r(x,y) = 0.6, then r((−x + 3)/2, (y − 5)/8) is:
Answer
B. −0.6
65
Probable error is used to test:
Answer
A. Observed correlation coefficient
66
Let X be the number of successes follow B(n,p), then the distribution of failures follow:
Answer
B. B(n, 1-p)
67
Let X follow B(n,p). It is positively skewed if:
Answer
A. p < 1/2
68
Correlation coefficient between the number of successes and failures in B(n,p) is:
Answer
B. -1
69
Let X follow B(n, p) and define Y = (X − np)/√(npq). Then Var(Y) is:
Answer
C. 1
70
If X and Y are two independent Poisson variates with parameters 2 and 3 respectively, and U = X + Y, then P(U = 0) is:
Answer
A. e⁻⁵
71
Referring to Question 50, E(X/U = 3) is:
Answer
D. 6/5
72
limₙ→∞ (1 − x²/n²)ⁿ is:
Answer
D. None of these
73
Which of the following statement about B(n,p) is always true?
Answer
A. It is under dispersed
74
If X follows N(10, σ² = 4), then the standard deviation of aX is:
Answer
D. None of these
75
If X follows U(0,1), then Var(1-X) is: 1
Answer
A. 12 1
76
The maximum height of the N(0, 1) curve is:
Answer
D. 1/√(2π)
77
As the scale parameter of normal curve increases, the distribution retains symmetry and becomes:
Answer
A. Flatter
78
If X and Y are independent N(0,1) random variates, then P(X
Answer
A. 2
79
The Normal curve has an area about .......within one unit of SD from mean:
Answer
B. 68%
80
The mgf of a random variable X is M(t)= ,|t|< . Then E(X) is : 1 − 2t 2
Answer
A. 2
81
The square of t distribution is an F distribution for:
Answer
B. 1 df 6 of 8 07/07/2015 02:59 PM Home Page http://192.168.1.6/psc/modules/marklist/answer_sheet/pr...
82
The ratio of two independent N(0,1) variates is a:
Answer
A. t1
83
If T1 and T2 are two unbiased estimates of parameter θ, then (2 T1 +5T2 )/(7) is :
Answer
A. Unbiased for θ
84
The random variable X has mean 5 and variance 9. Then P[|X-5|>4] is: 9
Answer
C. < 16 4
85
The statistical error associated to the statement "An innocent person is proved as guilty" is :
Answer
A. Type 1 error
86
To test H0 : µ = 1 against H0 : µ ≠ 1 based on large sample, the test statistic Z has a value 2. Then p-value associated to the test is:
Answer
B. P[|Z|>2]
87
Let X and Y be random variables with Cov(X,Y)=-0.25, then which of the following is true:
Answer
B. Var(X + Y) < Var(X − Y)
88
The degrees of freedom associated to t-test for the difference of the means of two samples having sizes m, n based on large sample is:
Answer
D. m+n-2
89
If F follows F(7,8), then 1/F follows:
Answer
D. F(8,7)
90
The distribution function F(x) of a random variable X lies between:
Answer
A. 0 and 1
91
The probability mass function of a discrete random variable X is f(x) = x/10 for x = 1,2,3,4 and 0 for other values of X. Let F(x) denote its distribution function. Then F(4) − F(3) is:
Answer
A. 4/10
92
let X be a random variable with distribution function F(x). The distribution function of 2X+3 is:
Answer
D. F( ) 2
93
A continuous random variable X is symmetric about a real number a (a ∈ R) if the distribution function X-a is same as the distribution function of:
Answer
A. a-X
94
Let X be a random variable with pdf f(x) = e⁻|ˣ|/2, −∞ < x < ∞. The median of the distribution is at:
Answer
C. X = 0
95
Let X be a random variable for which E(X) exists and A is any real number. Then E|X − A| is minimum if:
Answer
B. A = Med(X)
96
The joint distribution function of (X,Y) is F(x,y) = (1 − e⁻ˣ)(1 − e⁻ʸ), x > 0, y > 0. The marginal distribution function of Y is:
Answer
A. Exp(1)
97
The function f(x) = x², x ∈ R, is:
Answer
C. Neither increasing nor decreasing
98
limₙ→∞ Σₖ₌₀ⁿ nᵏe⁻ⁿ/k! is:
Answer
D. 1/2
99
Let x1 ,x2 ,...,xn be n discrete values with corresponding frequencies f1 , f2 ,..., fn . Also let F1 , F2 ,...,Fn be the corresponding greater than cumulative frequencies. Then gives: N
Answer
D. Mean
100
According to Prof. Sturge's rule, the relation between the number of classes (k) and total number of observations in the data (N) is:
Answer
A. k = 1 + 3.322 log₁₀N
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