Statistical Inference and Hypothesis TestingCharacteristics of Good Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 19  23 of 54
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Question number: 19
» 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: 20
» 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 

Question number: 21
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If is a random sample from a Bernoulli population with parameter, then is
Choices
Choice (4)  Response  

a.  An unbiased estimator of 

b.  A biased estimator of 

c.  An unbiased estimator of +1 

d.  None of the above 

Question number: 22
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If are normally distributed random variables with mean μ and variance , then sample variance is
Choices
Choice (4)  Response  

a.  Unbiased estimate of population variance 

b. 


c.  Not an unbiased estimate of population variance 

d.  Both b. and c. are correct 

Question number: 23
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Let be a random sample from a uniform population on [0, ]. Then the sufficient estimator for is
Choices
Choice (4)  Response  

a. 


b. 


c.  Question does not provide sufficient data or is vague 

d.  All of the above 
