A:-"quadA’
B:-'quadC’
C:-‘quadAC”
0:- १८३५५६८
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 reqularity 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 Bemoulli distribution
` 0८ 0) ಎ ೧7 று x=0, 1.
=0 “"otherwise" is
A:-The first order statistic *X_{{1)}"
B:-The *n* *"~{th}"" order statistic *X_{(n)}"
ലട)”
0: (ற) (0)
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
&:- एवा > ` ` +- 1.65. ` ऽपां ({ barx)/(n)) *
B:-'lambda+- 1.65 sgrt{{lambda)/(n)} *
C:-"bar x+- 1.96sgrt{(bar x}/(n}}
D:-"lambda +- 1.96sgrt{{lambda)/(n}} *
Correct Answer:- Option-C
Question77:-The minimum Chi-squared estimators are not necessarily
கபாய்‌
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 comelated
C:-Both paired and correlated