Statistical Inference and Hypothesis TestingCharacteristics of Good Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 22  25 of 54
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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 

Question number: 24
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
A random sample of size 5 is drawn from a normal population with mean and . And if , , Which one is the best estimator in terms of variance?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 25
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If is the variance of a random sample from an infinite population with mean μ and finite variance . Then is 
Choices
Choice (4)  Response  

a.  Biased estimator of 

b. 


c.  Unbiased estimator of 

d.  Question does not provide sufficient data or is vague 
