Statistical Inference and Hypothesis TestingCharacteristics of Good Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 24  27 of 54
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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 

Question number: 26
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Let be a random sample of size n from a large population with mean μ and variance . Which of the following statement is correct?
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All of the above 

Question number: 27
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If , _is a random sample of size n, from , a statistic
is an unbiased estimator of if
Choices
Choice (4)  Response  

a.  If 

b.  If 

c.  If 

d.  If 
