Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 1  6 of 222
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Question number: 1
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If and are two unbiased estimators of . Then
is a
Choices
Choice (4)  Response  

a.  Negatively biased estimator 

b.  Positively biased estimator 

c.  Unbiased estimator 

d.  Biased estimator 

Question number: 2
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
A function for estimating a parameter is called as:
Choices
Choice (4)  Response  

a.  Estimate 

b.  Statistic 

c.  Estimation 

d.  Estimator 

Question number: 3
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If are normally distributed random variables with mean μ and variance , Then the unbiased estimator of is 
Choices
Choice (4)  Response  

a. 


b. 


c.  None of the above 

d.  All of the above 

Question number: 4
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Suppose we have two consistent estimators and of a parameter , then is more efficient than if
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 5
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
A random sample of size 5 is drawn from a normal population with unknown mean . Then is a unbiased estimator of
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 6
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Let be a random sample from Bernoulli population with parameter , . If ,
Choices
Choice (4)  Response  

a.  The conditional distribution does not depend on 

b.  Is Sufficient for 

c.  Is not sufficient for 

d.  Both a. and b. are correct 
