Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 217  219 of 222
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Question number: 217
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
For a normal population , the variance of the sample mean and sample variance are given by and . Then which of the following is true?
Choices
Choice (4)  Response  

a.  Sample mean is more efficient estimator for than the sample median 

b.  Sample mean and Sample median are efficient 

c.  Sample median is more efficient estimator for than the sample mean 

d.  All of the above 

Question number: 218
» Statistical Inference and Hypothesis Testing » Simple and Composite Hypotheses
Question
A Statistical Hypothesis, which does not specifies the population completely, is known as
Choices
Choice (4)  Response  

a.  Composite Hypothesis 

b.  Simple Hypothesis 

c.  Null Hypothesis 

d.  Alternative Hypothesis 

Question number: 219
» Statistical Inference and Hypothesis Testing » Sufficient Estimator
Question
Which of the definition is true for Sufficiency of an estimator?
Choices
Choice (4)  Response  

a.  A statistic is sufficient estimator of parameter if and only if the likelihood function (joint p. d. f. of the sample) can be expressed as where is the p. d. f. of statistic and is a function of sample observations only independent of 

b.  If is a estimator of parameter based on a sample of size n from the population with density such that the conditional distribution of given T is independent of then T is sufficient estimator of . 

c.  An estimator is said to be sufficient for if it provides all the information contained in the sample about the parametric function 

d.  All a. , b. and c. are correct 
