ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 166  172 of 253
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Question number: 166
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Relative efficiency of an estimator as compared to is given as
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 167
» Statistical Inference and Hypothesis Testing » CramerRao Inequality
Question
CramerRao inequality with regard to the variance of an estimator provides
Choices
Choice (4)  Response  

a.  Lower bond on the variance  
b.  Asymptotic variance of an estimator  
c.  Upper bound on the variance  
d.  All of the above 
Question number: 168
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
If and are the mean and standard deviation of a random sample from a Normal distribution with unknown variance , a percent confidence interval on is given by
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  Question does not provide sufficient data or is vague 
Question number: 169
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
The 95 % confidence interval for of the normal population is given by
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 170
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
If and are two unbiased estimators of based on the random sample , then is said to be UMVUE if and only if
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d. 

Question number: 171
» Statistical Inference and Hypothesis Testing » Simple and Composite Hypotheses
Question
The hypothesis is known as
Choices
Choice (4)  Response  

a.  Composite Hypothesis  
b.  Simple Hypothesis  
c.  Null Hypothesis  
d.  Alternative Hypothesis 
Question number: 172
» Statistical Inference and Hypothesis Testing » Factorization Theorem
Question
If is a random sample from a density function for where are independent of , then any statistics will be called as sufficient statistics if the joint probability density function can be expressed as
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 