ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 40  44 of 246
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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 

Question number: 42
» 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: 43
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If , then which of the following is true?
Choices
Choice (4)  Response  

a.  is a Unbiased estimator 

b.  is a biased estimator of 

c. 


d.  Question does not provide sufficient data or is vague 

Question number: 44
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If the mean of the estimator is not equal to the population parameter, the estimator is said to be:
Choices
Choice (4)  Response  

a.  Biased 

b.  Positively biased 

c.  Unbiased 

d.  Negatively biased 
