ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 135  139 of 253
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Question number: 135
» Statistical Inference and Hypothesis Testing » Optimal Properties of Maximum Likelihood Estimators
Question
Which of the following properties of MLE is not correct?
Choices
Choice (4)  Response  

a.  MLE is always unique 

b.  If a sufficient statistic exists, it is a function of the Maximum Likelihood estimators. 

c.  If a minimum variance bound (MVB) unbiased estimator exists, maximum likelihood estimator provides it. 

d.  When maximum likelihood estimators exists, it is most efficient for large samples under the assumptions that the distribution of the estimators tends to normal. 

Question number: 136
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
It is given that sample size , sample mean and sample standard deviation . Then 95 % Confidence Interval would be
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 137
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
It is given that , and . Then the 95 % Confidence Interval for is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 138
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
If and are two estimators for , such that and , then
Choices
Choice (4)  Response  

a. 


b. 


c.  Either or 

d.  None of the above 

Question number: 139
» Statistical Inference and Hypothesis Testing » Moments and Least Squares
Question
Generally the estimators obtained by the method of moments as compared to Maximum Likelihood estimators are:
Choices
Choice (4)  Response  

a.  Equally Efficient 

b.  More Efficient 

c.  Less Efficient 

d.  All of the above 
