STATISTICAL ASSISTANT GR- II – ECONOMICS AND STATISTICS

PROVISIONAL ANSWER KEY
Question Paper Code: 11/2015/OL
Category Code: 195/2013
Exam: Statistical Assistant gr II
Medium of Question: English
Date of Test 29-06-2015
Alphacode A
Question1:-Drafting Committee chairman of Indian Constitution
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
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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
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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 Home Page http://192.168.1.6/psc/modules/marklist/answer_sheet/pr... 3 of 8 06/29/2015 03:43 PM 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 Home Page http://192.168.1.6/psc/modules/marklist/answer_sheet/pr... 4 of 8 06/29/2015 03:43 PM 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 2 B:-p>1
2
C:-p=1
2
D:-o4] is:
A:-> 9
16
B:->4
9
C:-< 9 16 D:-<4 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] B:-P[|Z|>2]
C:-P[Z<2] 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)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
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