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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) = px (1-p)*x; x=0, 1.
= 0 ‘"otherwise"’ is
A:-The first order statistic ‘X_{(1)}*
ദനം ന്‌ "१ 0)" 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 A, when a large sample is taken from a Poisson population with parameter A is
A: bar x ‘+= 1.65>* sqrt(( bar x)/(n)) *
‘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

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