ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 63  67 of 246
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Question number: 63
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
A statistic is biased if the mean of the sampling distribution of the statistic is
Choices
Choice (4)  Response  

a.  Equal to the parameter 

b.  Not equal to the parameter. 

c.  Less than the parameter 

d.  Question does not provide sufficient data or is vague 

Question number: 64
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
The mean of a random sample is always a consistent estimator of the population mean μ. This statement is
Choices
Choice (4)  Response  

a.  True for all distributions 

b.  False 

c.  True only for Bernoulli distribution 

d.  All of the above 

Question number: 65
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
If T is the MLE of and is one to one function of , then is the MLE of . This is known as the
Choices
Choice (4)  Response  

a.  Asymptotic Normality of MLE 

b.  Consistency property of MLE 

c.  Invariance property of MLE 

d.  None of the above 

Question number: 66
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
If
Where is any other unbiased estimator of . Then the statistic is known as
Choices
Choice (4)  Response  

a.  Minimum Variance Unbiased Estimator (MVUE) 

b.  Sufficient Estimator 

c.  Efficient Estimator 

d.  Consistent Estimator 

Question number: 67
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
In a random sampling from Normal population the likelihood estimators of mean and variance are
Choices
Choice (4)  Response  

a.  Variance is Unbiased 

b.  Mean is biased 

c.  Both a. and b. are correct 

d.  Question does not provide sufficient data or is vague 
