ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 36  40 of 253
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Question number: 36
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Let be a random sample of size n with mean and variance Then which of the following statements is true?
Choices
Choice (4)  Response  

a.  The sample mean and sample variance are biased estimators 

b.  The sample mean and sample variance are unbiased estimators of the mean and variance of the underlying distribution. 

c.  Sample mean is unbiased estimator and sample variance is biased estimator. 

d.  None of the above 

Question number: 37
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Bias of an estimator can be:
Choices
Choice (4)  Response  

a.  Zero 

b.  Positive 

c.  Negative 

d.  Both b. and c. are correct 

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. 


d.  μ 

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.  True 

b.  False 

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

d.  Question does not provide sufficient data or is vague 

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 
