KERALA PSC STATISTICAL ASSISTANT GR- II EXAM ANSWER KEY 30.06.2015
A:-Dr. Rajendra Prasad
B:-Dr. B R Ambedkar
C:-Jawaharlal Nehru
D:-Sardar Vallabjhai Patel
Correct Answer:- Option-B
Question2:-The President of India who officially issued a state of emergency in 1975
A:-Zakir Huzain
B:-V.V. Giri
C:-Fakruddin Ali Ahmad
D:-Neelam Sanjeev Reddy
Correct Answer:- Option-C
Question3:-Right to Information Law was passed on
A:-26 January 2005
B:-15 June 2005
C:-15 August 2005
D:-2 October 2005
Correct Answer:- Option-B
Question4:-The ruler who founded the first English school in Travancore
A:-Chithira Thirunnal
B:-Sree Moolam Thirunnal
C:-Swathy Thirunnal
D:-Vishakham Thirunnal
Correct Answer:- Option-C
Question5:-First travelogue in Malayalam
A:-London Note Book
B:-Varthamana Pustakam
C:-Vazhiyorakazchakal
D:-Israel Yatra
Correct Answer:- Option-B
Question6:-Founder of Prathyaksha Raksha Sabha
A:-Joseph Parekkattil
B:-Benjamin Bailee
C:-Charls Mart
D:-Poykayil Yohannan
Correct Answer:- Option-D
Question7:-Travancore State Congress was formed in
A:-1932
B:-1936
C:-1938
D:-1939
Correct Answer:- Option-C
Question8:-The leader of Ezhava Memorial
A:-G.P. Pillai
B:-Dr. Palpu
C:-Nataraja Guru
D:-Kumaran Asan
Correct Answer:- Option-B
Question9:-Paliyam Satyagraha was in the year
A:-1924
B:-1931
C:-1948
D:-1959
Correct Answer:- Option-C
Question10:-Who started the monthly publication Gramadeepam ?
A:-K. Kelappan
B:-T.N. Gangadharan
C:-K.M. Mathew
D:-K. Balakrishnan
Correct Answer:- Option-A
Question11:-Who among the following started a branch of Brahma Samaj at Kozhikode in 1898 ?
A:-Ayyathan Gopalan
B:-K. Ayyappan
C:-T.K. Madhavan
D:-P. Narayanan Nair
Correct Answer:- Option-A
Question12:-Seethamuthal Sathyavathivare is a work of
A:-Balamani Amma
B:-Lalithambika Antharjanam
C:-Dr. M. Leelavathy
D:-Kamala Surayya
Correct Answer:- Option-B
Question13:-The Malayali who delivered his speech in Malayalam at Oxford University in 1959
A:-V.K. Krishna Menon
B:-Mannathu Padmanabhan
C:-K.P. Kesava Menon
D:-Captain Lekshmi
Correct Answer:- Option-B
Question14:-The leader of the Yachana Yatra in 1931
A:-A.K. Gopalan
B:-M.P. Manmathan
C:-V.T. Bhattathiripad
D:-Ayyankali
Correct Answer:- Option-C
Question15:-Who organized a Misrabhojanam in 1917 at Kozhikode
A:-K.P. Vallon
B:-C. Krishnan
C:-Chovvara Parameswaran
D:-Sahodaran Ayyappan
Correct Answer:- Option-D
Question16:-Who is popularly known as Kerala Vyasan ?
A:-Vallathol Narayana Menon
B:-A.R. Rajaraja Varma
C:-Kodungalloor Kunjikkuttan Thampuran
D:-Keralavarma Valiyakoyi Thampuran
Correct Answer:- Option-C
Question17:-The birth palace of Ulloor S. Parameswara Iyer
A:-Kilimanoor
B:-Pattom
C:-Mavelikkara
D:-Changanacherry
Correct Answer:- Option-D
Question18:-Temple Entry Proclamation was declared on
A:-1 November 1935
B:-12 November 1935
C:-1 November 1936
D:-12 November 1936
Correct Answer:- Option-D
Question19:-The Pope who canonized Mar Kurikos Elias Chavara on 23 November 2014
A:-Pope John Paul I
B:-Pope John Paul II
C:-Pope Francis
D:-Pope Benedict XVI
Correct Answer:- Option-C
Question20:-Founder of Bachpan Bachao Andolan
A:-Medha Padkar
B:-Kailash Satyarthi
C:-Sundarlal Bahuguna
D:-Arundhathi Roy
Correct Answer:- Option-B
Question21:-Who among the following is the real giant in the development of the theory of Statistics?
A:-I. Fisher
B:-Prof. R.A. Fisher
C:-P.C. Mahalanobis
D:-C.R. Rao
Correct Answer:- Option-B
Question22:-A suitable method of collecting data in cases where the informants are literate and spread over a vast area:
A:-Direct personal interview
B:-Mailed questionnaire method
C:-Sample method
D:-Primary method
Correct Answer:- Option-B
Question23:-The point of intersection of ogives correspond to:
A:-Mean
B:-Geometric mean
C:-Mode
D:-Median
Correct Answer:- Option-D
Question24:-In a ratio graph, the vertical scale starts with:
A:-0
B:--1
C:-1
D:-Any positive number
Correct Answer:- Option-D
Question25:-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 :
A:-45
B:-39
C:-34
D:-41
Correct Answer:- Option-C
Question26:-The arithmetic mean and harmonic mean of certain data set are respectively 90 and 40. Then the geometric mean is :
A:-50
B:-60
C:-80
D:-Data is not sufficient
Correct Answer:- Option-B
Question27:-The arithmetic mean of two sample observations is greater than the smallest by their :
A:-Standard error
B:-Variance
C:-Range
D:-None of these
Correct Answer:- Option-A
Question28:-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 :
A:-25/2
B:-25
C:-100
D:-50
Correct Answer:- Option-D
Question29:-In Lorenz curve , the diagonal line y=x is known as:
A:-Coefficient of determination
B:-Line of unequal distribution
C:-Line of equal distribution
D:-Line of poverty
Correct Answer:- Option-C
Question30:-If 25% of the items in a distribution are less than 10 and 25% are more than 40, the quartile deviation is :
A:-25
B:-20
C:-15
D:-5
Correct Answer:- Option-C
Question31:-The standard deviation of the observations x and y is :
A:-Absolute value of (x-y)/2
B:-Absolute value of (x-y)
C:-(x-y)
D:-None of these
Correct Answer:- Option-A
Question32:-The coefficient of variation of first four natural numbers is :
A:-5
1
2
B:-sqrt(0.4)
C:-sqrt(0.2)
D:-sqrt(2.5)
Correct Answer:- Option-C
Question33:-The distribution of mortality rates with respect to the age after ignoring the accidental deaths will give:
A:-Positively skewed distribution
B:-Negatively skewed distribution
C:-Symmetric distribution
D:-None of these
Correct Answer:- Option-A
Question34:-Which one of the following is true for a discrete distribution?
A:-β2 > 1
B:-β2 > 3
C:-β2 < 3
D:-β2 > 2
Correct Answer:- Option-A
Question35:-The sum of squares of deviations is least when measured from :
A:-Median
B:-Mean
C:-Mode
D:-None of these
Correct Answer:- Option-B
Question36:-The axiomatic approach to probability was proposed by:
A:-Karl Pearson
B:-Laplace
C:-A. Kolmogorov
D:-A.N. Kolmogorov
Correct Answer:- Option-D
Question37:-10 persons are seated on 10 chairs at a round table. The probability that two specified persons are sitting next to each other is:
A:- 2
10
B:- 1
10
C:-2
9
D:-1
9
Correct Answer:- Option-C
Question38:-Which of the following statement is most correct:
A:-P(AB) ≤ P(A)
B:-P(AB) ≤ P(B)
C:-P(AB) ≤ min(P(A),P(B))
D:-P(AB) ≤ max(P(A),P(B))
Correct Answer:- Option-C
Question39:-A random sample of 10 different observations is given. How many samples of {(x, y): x < y} can be formed is:
A:-45
B:-90
C:-60
D:-30
Correct Answer:- Option-A
Question40:-If P(A)=P(B)=P(C)=0.5, P(AB)=P(AC)=P(BC)=0.2 and P(ABC)=0.1, then P(A-B-C) is :
A:-0.15
B:-0.20
C:-0.10
D:-0
Correct Answer:- Option-B
Question41:-The probability of choosing a square of dimension 2 from a chess board of dimension 8 is:
A:- 1
64
B:- 2
64
C:- 4
64
D:-None of these
Correct Answer:- Option-D
Question42:-If A and B are exhaustive and equally likely events with P(AB)=0.2, then P(A) is:
A:-0.6
B:-0.4
C:-0.8
D:-None of these
Correct Answer:- Option-B
Question43:-A problem in statistics is given to 3 students A, B and C whose chances of solving it are 1
2
, 3
4
and 1
4
respectively. The probability that exactly one solves the problem is:
A:-19
32
B:-29
32
C:- 3
32
D:-13
32
Correct Answer:- Option-D
Question44:-Which of the following statement is true ?
A:-Disjoint events are independent
B:-Independent events may be disjoint
C:-Both options 1 and 2
D:-None of these
Correct Answer:- Option-B
Question45:-Five events are said to be mutually independent if they have to satisfy ........... conditions:
A:-26
B:-30
C:-28
D:-32
Correct Answer:- Option-A
Question46:-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:
A:-1
9
B:-2
9
C:-4
9
D:-5
9
Correct Answer:- Option-D
Question47:-Bayes' formula is used to obtain the probabilities of:
A:-Posterior events
B:-Likelihood events
C:-Prior events
D:-None of these
Correct Answer:- Option-A
Question48:-The distribution which holds the property non correlation of random variables implies independence is:
A:-Bivariate normal
B:-Bivariate exponential
C:-Bivariate Cauchy
D:-None of these
Correct Answer:- Option-A
Question49:-The Union Minister of Statistics and Program Implementation is:
A:-Dr. V. K. Singh
B:-Rajnath Singh
C:-Smriti Irani
D:-Venkia Naidu
Correct Answer:- Option-A
Question50:-The mean sum of squares is obtained by dividing the sum of squares by:
A:-Size of the sample
B:-Degrees of freedom
C:-Squared degrees of freedom
D:-Squared sample size
Correct Answer:- Option-B
Question51:-The method of moment estimator for Θ in a uniform distribution over [-Θ, Θ ] with sample mean 10 and sample variance 4 is:
A:-2√3
B:-24
C:-10
D:-0
Correct Answer:- Option-A
Question52:-A consistent estimator of Θ2 in a Poisson distribution with parameter θ is:
A:-Square of sample mean
B:-Sample mean
C:-Sample variance
D:-Sample mean- sample variance
Correct Answer:- Option-A
Question53:-The degrees of freedom associated to error sum of squares in one-way ANOVA having n observations and k treatments is:
A:-n-1
B:-k-1
C:-n-k
D:-k+1
Correct Answer:- Option-C
Question54:-The sum of all two digit numbers formed using the digits 1, 2, 3 and 4 if each digit is used exactly once is:
A:-110
B:-284
C:-330
D:-None of these
Correct Answer:- Option-C
Question55:-The moment generating function M(t) of a random variable X exists at:
A:-Any real value of t
B:-t=0
C:-Neighborhood of zero
D:-Deleted neighborhood of zero
Correct Answer:- Option-C
Question56:-If x=rcosΘ and y=rsinΘ with r>0, 0<Θ < π
2
, then dxdy is:
A:-r 2 drdΘ
B:-θ drdΘ
C:-drdΘ
D:-rdrd Θ
Correct Answer:- Option-D
Question57:-The characteristic function of a standard normal variate is:
A:-e
− t2
2
B:-e
t2
2
C:-e
− |t|
2
D:-1
Correct Answer:- Option-A
Question58:-Francis Galton is pioneered in the study of:
A:-Biometry
B:-Genetics
C:-Regression
D:-Correlation
Correct Answer:- Option-C
Question59:-The correlation coefficient of the bi variate data: (1,10), (2,9), (3,8) and (4,7) is
A:-1
B:--1
C:-0.6
D:-None of these
Correct Answer:- Option-B
Question60:-Let r(x, y)=0.8. Then the explained variation in y due to x is:
A:-80%
B:-64%
C:-81%
D:-70%
Correct Answer:- Option-B
Question61:-If both regression coefficients are positive, then their sum is always:
A:- ≥ 1
B:-Lies between 1 and 2
C:- ≥ 2
D:-None of these
Correct Answer:- Option-D
Question62:-The line of best fit can be obtained by the principle of:
A:-Least squares
B:-Moments
C:-Mixed moments
D:-Minimum chi-sqare
Correct Answer:- Option-A
Question63:-The coefficients of determination is the square of:
A:-r
B:-1-r
C:-1+r
D:-1 − r
1 + r
Correct Answer:- Option-A
Question64:-If r(x,y)=0.6, then r(−x + 3
2 ,
y − 5
8 ) is:
A:--1
B:--0.6
C:-+0.6
D:-0.36
Correct Answer:- Option-B
Question65:-Probable error is used to test:
A:-Observed correlation coefficient
B:-Regression coefficients
C:-Rank correlation
D:-Consistency
Correct Answer:- Option-A
Question66:-Let X be the number of successes follow B(n,p), then the distribution of failures follow:
A:-B(n,p)
B:-B(n, 1-p)
C:-B(2n, 1-p)
D:-None of these
Correct Answer:- Option-B
Question67:-Let X follows B(n,p) is positively skewed if :
A:-p<1 font="">
2
B:-p>1
2
C:-p=1
2
D:-o
Question68:-Correlation coefficient between the number of successes and failures in B(n,p) is:
A:-1
B:--1
C:-0
D:-None of these
Correct Answer:- Option-B
Question69:-Let X follows B(n,p) and define Y=X − np
√npq . Then Var(Y) is:
A:-npq
B:- q
p2
C:-1
D:- p2
q
Correct Answer:- Option-C
Question70:-If X and Y are two independent Poisson variates with parameters 2 and 3 respectively and let U=X+Y. Then P(U=0) is:
A:-e−5
B:-e−3
C:-e−2
D:-e−2 +e−3
Correct Answer:- Option-A
Question71:-Referring to Question 50, E(X/U=3) is:
A:-1
B:-2
3
C:-5
3
D:-6
5
Correct Answer:- Option-D
Question72:- lim
n→∞
⎛
⎝
⎜
⎜
1 − x2
n2
⎞
⎠
⎟
⎟
n
is:
A:-e−x
B:-e x
C:--1
D:-None of these
Correct Answer:- Option-D
Question73:-Which of the following statement about B(n,p) is always true?
A:-It is under dispersed
B:-It is over dispersed
C:-Neither option1 nor option 2
D:-Both options 1 and 2 depend on values of p
Correct Answer:- Option-A
Question74:-If X follows N(10, σ 2 = 4 ), then the standard deviation of aX is:
A:-2a
B:-4a
C:-2a2
D:-None of these
Correct Answer:- Option-D
Question75:-If X follows U(0,1), then Var(1-X) is:
A:- 1
12
B:-1
6
C:-1
2
D:-1
4
Correct Answer:- Option-A
Question76:-The maximum height of N(0,1) curve is :
A:-e
B:-√e
C:- 1
√π
D:- 1
√2Π
Correct Answer:- Option-D
Question77:-As the scale parameter of normal curve increases, the distribution retains symmetry and becomes:
A:-Flatter
B:-Peaked
C:-Neither 1 nor 2
D:-None of these
Correct Answer:- Option-A
Question78:-If X and Y are independent N(0,1) random variates, then P(X
A:-1
2
B:-0
C:-1.96
D:-1.65
Correct Answer:- Option-A
Question79:-The Normal curve has an area about .......within one unit of SD from mean:
A:-65%
B:-68%
C:-33%
D:-67%
Correct Answer:- Option-B
Question80:-The mgf of a random variable X is M(t)= 1
1 − 2t
,|t|<1 font="">
2
. Then E(X) is :
A:-2
B:-6
C:-8
D:-4
Correct Answer:- Option-A
Question81:-The square of t distribution is an F distribution for:
A:-2 df
B:-1 df
Home Page http://192.168.1.6/psc/modules/marklist/answer_sheet/pr...
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C:-n df
D:-None of these
Correct Answer:- Option-B
Question82:-The ratio of two independent N(0,1) variates is a:
A:-t1
B:-t2
C:-tn
D:-χ 2
Correct Answer:- Option-A
Question83:-If T1 and T2 are two unbiased estimates of parameter θ, then (2 T1+5T2)/(7) is :
A:-Unbiased for θ
B:-Biased for θ
C:-Consistent for θ
D:-None of these
Correct Answer:- Option-A
Question84:-The random variable X has mean 5 and variance 9. Then P[|X-5|>4] is:
A:-> 9
16
B:->4
9
C:-< 9
16
D:-<4 font="">
9
Correct Answer:- Option-C
Question85:-The statistical error associated to the statement "An innocent person is proved as guilty" is :
A:-Type 1 error
B:-Type 2 error
C:-Power
D:-Critical region
Correct Answer:- Option-A
Question86:-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:
A:-P[|Z|<2 font="">
B:-P[|Z|>2]
C:-P[Z<2 font="">
D:-P[Z>2]
Correct Answer:- Option-B
Question87:-Let X and Y be random variables with Cov(X,Y)=-0.25, then which of the following is true:
A:-Var(X+Y)>Var(X-Y)
B:-Var(X+Y)
C:-Var(X+Y)=Var(X-Y)
D:-None of these
Correct Answer:- Option-B
Question88:-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:
A:-m+n-1
B:-m+n-mn
C:-m+n
D:-m+n-2
Correct Answer:- Option-D
Question89:-If F follows F(7,8), then 1/F follows:
A:-F(7,8)
B:-F(1,8)
C:-F(7,1)
D:-F(8,7)
Correct Answer:- Option-D
Question90:-The distribution function F(x) of a random variable X lies between:
A:-0 and 1
B:--1 and 1
C:-0 and ∞
D:-None of these
Correct Answer:- Option-A
Question91:-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 the distribution function of X. Then F(4)-F(3) is:
A:- 4
10
B:- 2
10
C:- 3
10
D:- 1
10
Correct Answer:- Option-A
Question92:-let X be a random variable with distribution function F(x). The distribution function of 2X+3 is:
A:-F(x)
B:-F( x + 3
2 )
C:-F(2x + 3)
D:-F( x − 3
2 )
Correct Answer:- Option-D
Question93:-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:
A:-a-X
B:-X+a
C:--X-a
D:--X+a
Correct Answer:- Option-A
Question94:-Let X be a random variable with pdf f(x)=e−|
|x|
|
2 ,-∞
A:-X=1
B:-X=10
C:-X=0
D:-Any number greater than zero
Correct Answer:- Option-C
Question95:-Let X be a random variable for which E(X) exists and A is any real number. Then E|X-A| is minimum if:
A:-A=E(X)
B:-A=Med(X)
C:-A=Mod(X)
D:-None of these
Correct Answer:- Option-B
Question96:-The joint distribution function of (X,Y) is given by F(x,y)=(1-e−x )(1-e−y ), x>0,y>0. The marginal distribution function of Y is:
A:-Exp(1)
B:-Exp(2)
C:-Gamma(2)
D:-None of these
Correct Answer:- Option-A
Question97:-The function f(x)=x2 , x ∈ R is:
A:-Increasing
B:-Decreasing
C:-Neither increasing nor decreasing
D:-Constant
Correct Answer:- Option-C
Question98:- lim
n→∞ ∑
k = 0
n nk e−n
k! is:
A:-1
3
B:-1
5
C:-1
4
D:-1
2
Correct Answer:- Option-D
Question99:-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
∑i= 1
n Fi
N gives:
A:-3rd quartile
B:-Median
C:-Mode
D:-Mean
Correct Answer:- Option-D
Question100:-According to Prof. Sturge's rule, the relation between the number of classes (k) and total number of observations in the data (N) is:
A:-k=1+3.322log10 N
B:-k=1+2.333log10 N
C:-k=1+2.333loge N
D:-k=1+3.223loge N
Correct Answer:- Option-A
