HSST – STATISTICS – SR FOR SC / ST AND ST ONLY – KHSE
PROVISIONAL ANSWER KEY
Question Paper Code: 16/2017/OL
Category Code: 356/2016
Exam: HSST Statistics SR For SC/ST
Medium of Question: English
Date of Test 13-03-2017
Alphacode A
Question1:-Quorum of Rajyasabha
A:-25
B:-50
C:-100
D:-250
Correct Answer:- Option-A
Question2:-State which offers highest wages for unskilled workers under MGNREG Scheme
A:-Kerala
B:-Karnataka
C:-West Bengal
D:-Haryana
Correct Answer:- Option-D
Question3:-National Bank for Agriculture and Rural Development was founded in
A:-1935
B:-1950
C:-1982
D:-1991
Correct Answer:- Option-C
Question4:-Spiritual leader who inspired the Channar Rebellion
A:-Sri Narayana Guru
B:-Chattambi Swami
C:-Vaikunda Swami
D:-Ayyavu Swami
Correct Answer:- Option-C
Question5:-Social reformer who founded Kerala Kaumudi
A:-Sahodaran Ayyappan
B:-Dr. Palpu
C:-Kumaran Asan
D:-C.V. Kunhiraman
Correct Answer:- Option-D
Question6:-Vayalar Garjjikkunnu is a poem by
A:-Vayalar Ramavarma
B:-P. Bhaskaran
C:-T.S. Thirumunpu
D:-O.N.V. Kurup
Correct Answer:- Option-B
Question7:-District Collector of Malabar who was murdered in connection with Mappila Rebellion
A:-William Logan
B:-H.V. Conolly
C:-William Mclyod
D:-Thomas Warden
Correct Answer:- Option-B
Question8:-Akkamma Cheriyan was hailed ”Jhansi Rani of Travancore” by
A:-Mahatma Gandhi
B:-Jawaharlal Nehru
C:-G.P. Pillai
D:-Pattam Thanu Pillai
Correct Answer:- Option-A
Question9:-Mukul Mudgal Committee looked into
A:-IPL Spot Fixing
B:-2G Scam
C:-Coal Scam
D:-Common Wealth Games Scam
Correct Answer:- Option-A
Question10:-Pradhan Mantri Jan Dhan Yojana was launched in
A:-January 2014
B:-April 2014
C:-August 2014
D:-January 2015
Correct Answer:- Option-C
Question11:-The best method of teaching is
A:-Lecturing
B:-Demonstrating
C:-Discussing
D:-All of the above
Correct Answer:- Option-D
Question12:-Classroom learning becomes lively when the teacher
A:-Allows a short break
B:-Entertains students
C:-Allows discussion
D:-None of the above
Correct Answer:- Option-C
Question13:-A teacher should be
A:-Friendly
B:-Humorous
C:-Approachable
D:-All of the above
Correct Answer:- Option-D
Question14:-Students with problems should be
A:-Ignored
B:-Guided
C:-Exposed
D:-Avoided
Correct Answer:- Option-B
Question15:-Most educational research is
A:-Fundamental Research
B:-Applied Research
C:-Action Research
D:-None of the above
Correct Answer:- Option-B
Question16:-In Experimental research, variables are controlled or manipulated so as to
A:-ensure validity of results
B:-arrive at sound conclusions
C:-enable predictions
D:-all of the above
Correct Answer:- Option-D
Question17:-Qualitative Research describes
A:-‘what was’
B:-‘what is’
C:-‘what could be’
D:-‘what will be’
Correct Answer:- Option-B
Question18:-Which is a criterion of a good Case Study?
A:-Validity of data
B:-Reliability of data
C:-Objectivity of data
D:-None of the above
Correct Answer:- Option-A
Question19:-When the investigator takes effort to preserve the dignity of the subjects during research, it implies that the
researcher has
A:-Credibility
B:-Integrity
C:-Ethics
D:-All of the above
Correct Answer:- Option-C
Question20:-A publication manual that is generally adhered to in the preparation of a research report in Education is
A:-Indian Research Publication Manual
B:-British Publication Manual
C:-American Psychological Association Manual
D:-Research Publication Manual
Correct Answer:- Option-C
Question21:-The word ‘Secularism’ is added to the preamble of the constitution by the ___________ amendment.
A:-42`”^{nd}”`
B:-`24″^{th}”`
C:-`44″^{th}”`
D:-`46″^{th}”`
Correct Answer:- Option-A
Question22:-The freedom to form association does not include
A:-Right to form trade union
B:-Right to form partnership
C:-Right to form political party
D:-Right to strike
Correct Answer:- Option-D
Question23:-Article 43 requires the state to secure by suitable legislation, __________ to all workers.
A:-Minimum wages
B:-Statutory minimum wages
C:-Fair wages
D:-Living wages
Correct Answer:- Option-D
Question24:-Which Article of the Constitution envisages a common civil code for the citizens throughout the territory of India?
A:-Art 42
B:-Art 43
C:-Art 44
D:-Art 48
Correct Answer:- Option-C
Question25:-Indian Constitution was amended for the first time in the year
A:-1953
B:-1950
C:-1951
D:-1952
Correct Answer:- Option-C
Question26:-Which one among the following is the first of the major Environmental Protection Act promulgated in India?
A:-Water Act
B:-Air Act
C:-Forest Conservation Act
D:-Noise Pollution Rule
Correct Answer:- Option-A
Question27:-In order to be eligible for gratuity under the Payment of Gratuity Act, 1972, an employee should have a
minimum continuous service of
A:-10 years
B:-5 years
C:-7 years
D:-3 years
Correct Answer:- Option-B
Question28:-Under the provisions of prevention of sexual harassment (at work place) Act, the term aggrieved woman means
A:-a woman employee belong to govt. sector
B:-a woman employee belong to private sector
C:-a domestic worker
D:-all of the above
Correct Answer:- Option-D
Question29:-According to Right to Information Act, within what time should the information be provided to an applicant in
normal cases
A:-45 days
B:-90 days
C:-60 days
D:-30 days
Correct Answer:- Option-D
Question30:-Who is an adolescent as per Factories Act 1948?
A:-who has completed 17 years of age
B:-who is less than 18 years
C:-who has completed 15 years but less than 18 years
D:-none of the above
Correct Answer:- Option-C
Question31:-If `A_n={(A if n “is odd”),(B if n “is even”):}`
then lim inf `A_n=“ `
A:-`AuuB`
B:-`quadAnnB`
C:-`quadA` Δ`quadB`
D:-`phi`
Correct Answer:- Option-B
Question32:-Which of the following statement(s) is/are wrong?
I : A monotone field in not a sigma field
II : A sigma field is a monotone field
A:-I alone
B:-II alone
C:-Neither I nor II
D:-Both I and II
Correct Answer:- Option-A
Question33:-If `quadmu_1` is a measure defined on a sigma field `quadfrA_1` and `quadmu_2` is a measure defined on a
sigma field `quadfrA_2` , then `quadmu_1+mu_2` is a measure only when
A:-`quadfrA_1subfrA_2`
B:-`quadfrA_1supfrA_2`
C:- `quadfrA_1=frA_2`
D:-`quadfrA_1!=frA_2`
Correct Answer:- Option-C
Question34:-Which of the following statement(s) is/are true?
A : Every subsets of are Borel sets
B : Every Borel set in measurable
A:-A alone
B:-B alone
C:-Neither A nor B
D:-Both A and B
Correct Answer:- Option-B
Question35:-Let `quadI = (0, 1)` , be the Borel field of subsets of `quadI` and `mu` is the Lebesgue measure on
. For `quadn = 1, 2,….,` if `quadA_n=(0,1/n), mu(lim “sup” A_n)=`
A:-0
B:-0.5
C:-1
D:-`1/n`
Correct Answer:- Option-A
Question36:-Let `quadW` be the subspace of generated by the vectors (1, -2, 5, -3), (2, 3, 1, -4) and (3, 8, -3, -5). Then
the dimension of `quadW` is
A:-4
B:-3
C:-2
D:-1
Correct Answer:- Option-C
Question37:-For any arbitrary matrices `quadA` and `quadB` , the sum of ranks of `quadA` and `quadB` is always
A:-less than rank `quad(A+B)`
B:-less than or equal to rank`quad(A+B)`
C:-greater than rank`quad(A+B)`
D:-greater than or equal to rank`quad(A+B)`
Correct Answer:- Option-D
Question38:-Let `quadA` and `quadB` are `quadnxxn` square matrices. Then the eigen values of `quadAB` are same as
the eigen values of
A:-`quadA+B`
B:-`quadA-B`
C:-`quadB-A`
D:-`quadBA`
Correct Answer:- Option-D
Question39:-The quadratic polynomial corresponds to the matrix `quadA=((1,0,1/2),(0,0,-1),(1/2,-1,0))` ` ` is
A:-`quadx^2+1/2xz-xy`
B:-`quadx^2-2yz+xz`
C:-`quadx^2+1/2yz-xy`
D:-`quadx^2+yz-2xz`
Correct Answer:- Option-B
Question40:-Let `quadP` be an `quadmxxm` orthogonal matrix, `quadQ` be an `quadnxxn` orthogonal matrix and `quadA`
any `quadmxxn` matrix. If `quadA^T` denote the transpose of `quadA` and `quadA^-` denote the generalized inverse of
`A` , then the generalized inverse of `quadPAQ` is
A:-`quadP^TA^{-}Q^T`
B:-`quadQ^TA^{-}P^T`
C:-`quadPA^{-}Q`
D:-`quadQA^{-}P`
Correct Answer:- Option-B
Question41:-If `quad{A_n}` is a sequence of events on a probability space (Ω,`quadA,P)` such that `quadA_n->A`
as `quadn->oo` , then what is the value of lim`quadP(A_n)` ?
A:-zero
B:-one
C:-`quadP(A)`
D:-need not exist
Correct Answer:- Option-C
Question42:-If `quadA` and `quadB` are mutually exclusive events, each with positive probabilities, then they are
A:-independent events
B:-dependent events
C:-equally likely events
D:-exhaustive events
Correct Answer:- Option-B
Question43:-If `quad{A_n}` is a sequence of events such that `quadsum_(k=1)^ooP(A_k)=oo` , then
`quadP(lim”sup”A_n)=1` provided events are
A:-equally likely
B:-Mutually exclusive
C:-independent
D:-pair-wise mutually exclusive
Correct Answer:- Option-C
Question44:-Let `quad{A_n}` be a sequence of events such that `quadB_1=A_1` and `quadB_k=A^c_1
A^c_2…` `A_{k-1}^c A_k` for `quadk>=2` , in which `quadA^c` is the complement of `quadA` . Then the sequence of
events `quad{B_n}` are
A:-Pair-wise independent
B:-Mutually independent
C:-Mutually dependent
D:-Pair-wise mutually exclusive
Correct Answer:- Option-D
Question45:-If `quadX` is a random variable with finite expectation, then the value of `quadxP(X<-x)` as `quadx->oo` is
A:-infinity
B:-unity
C:-zero
D:-indeterminate
Correct Answer:- Option-C
Question46:-If `quadX` is a symmetric random variable with distribution function `quadF` and real valued characteristic
function Φ, then for any `quadx` in ,`quadF(x)=`
A:-`quadF(-x)`
B:-`quadF(-x-0)`
C:-`quadF(-x-0)-1`
D:-`quad1-F(-x-0)`
Correct Answer:- Option-D
Question47:-If the characteristic function Φ of distribution function `quadF` is absolutely integrable on , then for
any`quadx` in , `quad f’={dF(x)}/dx` is
A:-bounded
B:-uniformly continuous
C:-both (1) and (2)
D:-Neither (1) nor (2)
Correct Answer:- Option-C
Question48:-Let `quadX` and `quadX_n` be independent standard normal variables on a probability space (Ω,`quadfrA,P)` `
`, for `quadn>=1` . Then which of the following is not true?
A:-`X_nstackrel(P)(->)X`
B:-`X_nstackrel(d)(->)X`
C:-`quadE(X_n-X)=0`
D:-`quadVar(X_n-X)=2`
Correct Answer:- Option-A
Question49:-The sequence `quad{X_n}` of independent random variables, each with finite second moment, obeys SLLN if
A:-`quadsum_(k=1)^ooVar(X_k)
Then the sequence does not obey CLT if
A:-`quadLambda=0`
B:-`quadLambda=1`
C:-`quadLambdain(0,1/2)`
D:-`quadLambdain(1/2,1)`
Correct Answer:- Option-B
Question51:-Let `quadX` be a random variable with probability mass function
`quad p(x) = {((6)/(pi^2 x^2) for x=1 ; -2 ; 3 ; -4 …),(0 elsewhere):}`
Then
A:-`quadE(X)=oo`
B:-`quadE(X)` exists
C:-`quadE(X)
A:-0.25
B:-0.5
C:-0.75
D:-1
Correct Answer:- Option-B
Question58:-If `quadX` follows normal `quadN(mu,Sigma)` , then `quadY=e^X` follows
A:-Log-normal distribution
B:-Exponential distribution
C:-Logistic distribution
D:-Pareto distribution
Correct Answer:- Option-A
Question59:-If `quadX_j` follows exponential `quadE(Theta_j)` distribution, for `quadj=1,2,…,n,` then the distribution
of `quad”min”{X_1,X_2,…,X_n}`
A:-`quadE(Theta_j)`
B:-` E (prod_{j=1}^n theta_j)`
C:-`quadE(sum_(j=1)^nTheta_j)`
D:-`quadE[“min”{Theta_1,Theta_2,…,Theta_n}]`
Correct Answer:- Option-C
Question60:-The mode of `quadF` -distribution is
A:-always less than unity
B:-sometimes less than unity
C:-always greater than unity
D:-sometimes equal to unity
Correct Answer:- Option-A
Question61:-“Simple random sampling” is the technique of drawing a sample in such a way that each unit of the population
has
A:-distinct and dependent chance of being included in the sample
B:-distinct but independent chance of being included in the sample
C:-an equal but dependent chance of being included in the sample
D:-an equal and independent chance of being included in the sample
Correct Answer:- Option-D
Question62:-In SRSWR with usual notations, the standard error of the sample mean `quadbary` is
A:-`quadS({N-n}/{Nn})^{1/2}`
B:-`quadS({N-1}/{Nn})^{1/2}`
C:-`quadS(1-{n}/{N})^{1/2}`
D:-`quadS/n(1-{1}/{N})^{1/2}`
Correct Answer:- Option-B
Question63:-The formulae for optimum allocation in various strata in stratified sampling were first derived by
A:-Tschuprov
B:-Cochran
C:-Lahiri
D:-Neymann
Correct Answer:- Option-A
Question64:-The ratio estimator of population mean is unbiased if sampling is done according to
A:-PPSWR
B:-PPSWOR
C:-SRSWR
D:-SRSWOR
Correct Answer:- Option-A
Question65:-The cluster sampling is more efficient when
A:-the variation within clusters in more
B:-the variation between clusters is less
C:-both (1) and (2)
D:-neither (1) nor (2)
Correct Answer:- Option-C
Question66:-Local control is a device to maintain
A:-homogeneity within blocks
B:-homogeneity among blocks
C:-both (1) and (2)
D:-neither (1) nor (2)
Correct Answer:- Option-A
Question67:-In a linear model `quadY_{ij}=alpha_i+e_{ij},` `quadj=1,2,…,n_i;` `quadi=1,2,…,k,` consider
(i) `quadalpha_1-3alpha_2+alpha_3+alpha_4`
(ii) `quadalpha_1+3alpha_2-alpha_3-alpha_4`
(iii) `quadalpha_1+3alpha_2-2alpha_3-2alpha_4`
Then which of the following is correct?
A:-(i) and (ii) are linear contrasts
B:-(i) and (iii) are linear contrasts
C:-(ii) and (iii) are linear contrasts
D:-(i), (ii) and (iii) are linear contrasts
Correct Answer:- Option-B
Question68:-While analyzing the data of a `quadkxxk` Latin Square Design, the degrees of freedom in the ANOVA is
A:-`quadk^2-1`
B:-`quadk-1`
C:-`quadk^2-2k+1`
D:-`quad(k-1)(k-2)`
Correct Answer:- Option-D
Question69:-In a split plot design with factor `quadA` at 3 levels in main plots, factor `quadB` at 3 levels in sub-plots and 3
replications, the degrees of freedom for sub-plot error is
A:-27
B:-12
C:-8
D:-4
Correct Answer:- Option-B
Question70:-If the interactions `quadAB` and `quadBC` are confounded with incomplete blocks in a `quad2^n` factorial
experiment, then automatically confounded effect is
A:-`quadA`
B:-`quadC`
C:-`quadAC`
D:-`quadABC`
Correct Answer:- Option-C
Question71:-Which among the following is a consistent estimator of the population mean when samples are from the
Cauchy population?
A:-Sample mean
B:-Sample median
C:-Sample variance
D:-None of these
Correct Answer:- Option-B
Question72:-If the regularity conditions of the CR inequality are violated then the least attainable variance will be
A:-equal to the CR bound
B:-greater than the CR bound
C:-less than the CR bound
D:-zero
Correct Answer:- Option-C
Question73:-A method to obtain the UMVUE is by using
A:-Rao-Blackwell Theorem
B:-Baye’s Theorem
C:-Neymann-Pearson Theorem
D:-Lehmann-Scheffe Theorem
Correct Answer:- Option-D
Question74:-A complete-sufficient statistic for `p` in the Bernoulli distribution
`(x, p) = p^x (1-p)^x; x=0, 1.
= 0 `”otherwise”` is
A:-The first order statistic `X_{(1)}`
B:-The `n` `”^{th}”` order statistic `X_{(n)}`
C:-`sum_(i=1)^n X_i`
D:-`X_{(n)}-X_{(1)}`
Correct Answer:- Option-C
Question75:-The least square estimators are
A:-Unbiased
B:-BLUE
C:-UMVUE
D:-All these
Correct Answer:- Option-D
Question76:-A 95% confidence interval for λ, when a large sample is taken from a Poisson population with parameter λ is
A:-`bar x “+- 1.65“sqrt(( bar x)/(n)) `
B:-`lambda+- 1.65 sqrt((lambda)/(n)) `
C:-`bar x+- 1.96sqrt((bar x)/(n)) `
D:-`lambda +- 1.96sqrt((lambda)/(n)) `
Correct Answer:- Option-C
Question77:-The minimum Chi-squared estimators are not necessarily
A:-Unbiased
B:-Consistent
C:-Efficient
D:-Asymptotically normal
Correct Answer:- Option-A
Question78:-Which one of the following statements is true?
A:-Even if the UMP test does not exist, a UMPU test may exist
B:-Even if the UMPU test does not exist, a UMP test may exist
C:-A UMP test exists only if a UMPU test exists
D:-A UMPU test exists only if a UMP test exists
Correct Answer:- Option-A
Question79:-In paired `t` test the two random variables should be
A:-Paired and uncorrelated
B:-Unpaired and correlated
C:-Both paired and correlated
D:-Neither paired nor correlated
Correct Answer:- Option-C
Question80:-With usual notations, the criterion for acceptance in SPRT is
A:-`lambda_m <= ((1-beta))/(alpha) `
B:-`lambda_m >= ((1-beta))/(alpha) `
C:-`lambda_m <=(beta)/((1-alpha)) `
D:-` lambda_m >= (beta)/((1-alpha)`
Correct Answer:- Option-C
Question81:-The Poisson process with parameter λ is a renewal counting process for which the unit lifetimes have ________
distribution with common parameter λ.
A:-Poisson
B:-Exponential
C:-Uniform
D:-Geometric
Correct Answer:- Option-B
Question82:-Let `{X_n, n = 0, 1, 2…}` be a Branching process and the corresponding offspring distribution has a pgf `P (s)
=(2)/(3) +(s+s^2)/(6) ` . Find the probability of extinction of the process
A:-0
B:-0.25
C:-0.66
D:-1
Correct Answer:- Option-D
Question83:-Let `{X_n}` be a renewal process with `mu = E (X_1)
A:-`(1)/(mu) `
B:-`mu `
C:-`(t)/(mu) `
D:-`(mu)/(t) `
Correct Answer:- Option-A
Question84:-If `X_i`’s are independent Poisson variates with respective parameters `lambda_i`, for `i = 1, 2, …k`, then the
conditional distribution of `X_1, X_2,… X_k` given their sum `sum_(i=1)^k X_i = n` is a ___________ distribution with
parameters ___________ and _____________.
A:-Binomial with parameters `n` and ` (1)/(k)`
B:-Binomial with parameters `k` and `(1)/(n)`
C:-Multinomial with parameters `n` and `(1)/(k)`
D:-Multinomial with parameters `k` and `(1)/(n)`
Correct Answer:- Option-C
Question85:-If ` (X_1, X_2)` is a Bivariate normal random vector with parameters `(mu_{X1}, mu_{X2}, sigma ^2_X_1,
sigma^2_X_2, rho`), when `sigma^2_X_1 = sigma^2_X_2 ` and `rho = 0` , the density function is called
A:-Elliptical Normal
B:-Circular Normal
C:-Symmetrical Normal
D:-Uniform Normal
Correct Answer:- Option-B
Question86:-If the random vector `X` follows Multivariate Normal distribution with mean vector 0 and dispersion matrix `I`
and `Q_i = X^’ A_i X` are quadratic forms of rank `r_i` such that `sum_(i=1)^k A_i = I_p` , then a necessary and sufficient
condition for `Q_i`’s to be distributed as independent chi-square random variables with `r_i` d.f is that
A:-` sum_(i=1)^k r_i=k`
B:-`sum_(i=1)^k r_i = p`
C:-`sum_(i=1)^k r_i=0`
D:-`sum_(i=1)^k r_i = kp`
Correct Answer:- Option-B
Question87:-The relationship between partial correlation coefficients `r_{ij.k},` multiple correlation
coefficients `R_{i.jk}`and simple correlation coefficients `r_{ij}` is
A:-`R^2_1.23 = 1+ (1-r^2_12) (1 – r^2_13.2)`
B:-`R^2_1.23 = 1 – (1- r^2_12) (1- r^2_13.2)`
C:-`R^2_1.23 = 1 + (1-r^2_12)// (1-r^2_13.2)`
D:-`R^2_1.23 = 1- (1-r^2_12) // (1-r^2_13.2)`
Correct Answer:- Option-B
Question88:-Hotelling’s `T^2` statistic and Mahalnobis `D^2` statistic are connected by the relationship
A:-`D^2 = ((N_1 N_2))/((N_1+N_2)) T^2`
B:-`D^2 =((N_1 N_2))/((N_1-N_2)) T^2`
C:-`D^2 = ((N_1-N_2))/((N_1 N_2)) T^2`
D:-`D^2 = ((N_1 + N_2))/((N_1 N_2)) T^2`
Correct Answer:- Option-D
Question89:-In principal component analysis the variances of the Principal Components are the __________ of the covariance
matrix.
A:-diagonal elements
B:-eigen values
C:-normalized elements
D:-non-zero elements
Correct Answer:- Option-B
Question90:-For discriminating between two populations R.A. Fisher suggested the linear discriminant function `X’l` for
which
A:-` (“(mean difference)”^2)/(“variance”)`
B:-`(“mean difference”)^2/(“A.M.”)`
C:-`(“mean difference”)/(“median”)`
D:-`(“variance”)/(“mean difference”)`
Correct Answer:- Option-A
Question91:-Assume that the time to failure `(T)` for a certain bulb has an exponential distribution `f ((t)/(lambda))` with
parameter `lambda >0` with the prior pdf `g (lambda)` of `lambda` is an exponential distribution with parameter 2. Then
the posterior pdf of `lambda` given `T = t` is
A:-`(2)/(t+2)`
B:-`(lambda)/(e^lambda (t+2))`
C:-`(lambda e^(lambda (t+2)))/((t+2)^2)`
D:-`(lambda (t+2)^2)/(e^(lambda (t+2)))`
Correct Answer:- Option-D
Question92:-The basic elements of statistical decision theory is
A:-a space Ω `= {ul theta}` of all possible states of nature
B:-an action space `A = {a}` of all possible courses of action
C:-a loss function `L (ul theta, a)` giving the incurred loss when action `a` is taken and the state is ` ul theta`
D:-all these
Correct Answer:- Option-D
Question93:-When there is no censoring for the life length `T`, the general formula of a survival function is
A:-`hat {S (t)} = (” # of individuals with” T >= t)/(“total sample size”)`
B:-`hat {S (t)} = (” # of individuals with” T <= t)/("total sample size")`
C:-`hat {S (t)} = (" # of individuals with" T = t)/("total sample size")`
D:-`hat {S (t)} = (" # of individuals with" T = 0)/("total sample size")`
Correct Answer:- Option-A
Question94:-The Cox's Proportional Hazard Model (Cox's PH Model) with explanatory variables ` ul X = (X_1, X_2, ... X_p),
beta_i` their regression coefficients and `h_0 (t)` a base line hazard, is `h (t, ul X) =`
A:-`e^{h_0 (t) sum_(i=1)^p beta_i X_i}`
B:-`log h_0 (t) + sum_(i=1)^p beta_i X_i`
C:-`h_0 (t) e sum_(i=1)^p beta_i X_i`
D:-`e^(h_0 (t)) sum_(i=1)^p beta_i X_i`
Correct Answer:- Option-C
Question95:-When an inspection lot contains no defectives the OC function `L (p)` is
A:-`L (p) = 1`
B:-`L (p) = oo`
C:-` L (p) = 0`
D:-None of these
Correct Answer:- Option-A
Question96:-In a Time series data, the two main components which cause lack of stationarity are
A:-Seasonal and irregular variations
B:-Cyclic and irregular variations
C:-Trend and cyclic variations
D:-Trend and seasonal variations
Correct Answer:- Option-D
Question97:-In the ARMA (1, 1) model `Z_t = ``phi Z_{t-1} + epsilon _t - theta epsilon_{t-1}` the condition for stationarity
and invertilibility are respectively
A:-` | phi | <= 1 and | theta | < 1` with `phi != theta`
B:-` | phi | <= 1 and | theta | < 1` with `phi = theta`
C:-` | phi | > 1 and | theta | > 1` with `phi!= theta`
D:-` | phi | > 1 and | theta | > 1` with `phi = theta`
Correct Answer:- Option-A
Question98:-In a Linear programming Problem with `n + m` variables and `m` constraints the number of basic solutions is
A:-` ((n+m),(m))`
B:-`((n),(m))`
C:-`((m),(n))`
D:-`((n+m),(n-m))`
Correct Answer:- Option-A
Question99:-If the demand curve is of the form `p = ae^{-bx}` , where `p` is the price and `x` is the demand, then the
price elasticity of demand is
A:-`eta_p = bx`
B:-`eta_p = – bx`
C:-`eta_p = 1//bx`
D:-`eta_p = – 1 // bx`
Correct Answer:- Option-C
Question100:-The Engel’s curves for constant prices and those for constant incomes are respectively
A:-Concave and Convex
B:-Convex and Concave
C:-Both Concave
D:-Both Convex
Correct Answer:- Option-B
