Statistical Inference and Hypothesis TestingCharacteristics of Good Estimator (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 33  36 of 54
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Question number: 33
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
For normal distribution
Choices
Choice (4)  Response  

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

b.  Sample median is more efficient estimator than the sample mean. Since, 

c.  Sample median is more efficient estimator. Since, 

d.  None of the above 

Question number: 34
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Let be a sample of size n = 3 from a distribution with mean and variance . Then and are
Choices
Choice (4)  Response  

a.  Only is unbiased estimator 

b.  and are biased estimators 

c.  and are unbiased estimators 

d.  None of the above 

Question number: 35
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
The mean of a random sample is always an unbiased estimate of the population mean μ. This statement is
Choices
Choice (4)  Response  

a.  True for all distributions 

b.  False 

c.  True only for binomial distribution 

d.  All of the above 

Question number: 36
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If is the estimator of the parameter , then is called unbiased if:
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 

