ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 38  41 of 246
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Question number: 38
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If is a random sample from a normal distribution . Then the unbiased estimator of is
Choices
Choice (4)  Response  

a. 


b. 


c.  μ 

d. 


Question number: 39
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If are random observations on a Bernoulli variate X taking the value 1 with probability and the value 0 with the probability then is a Consistent estimator of . This statement is
Choices
Choice (4)  Response  

a.  Since is not a consistent estimator of , this is false. 

b.  False 

c.  True 

d.  None of the above 

Question number: 40
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Let be a random sample of size n = 3 from a distribution with mean and variance . Then is a unbiased estimator of
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 41
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
An estimator is said to be sufficient for a parameter, if it contains
Choices
Choice (4)  Response  

a.  If the conditional distribution of , given T is independent of the parameter. 

b.  All the information in the sample regarding the parameter. 

c.  Both a. and b. are correct 

d.  None of the above 
