Statistical Inference and Hypothesis TestingCharacteristics of Good Estimator (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 34  38 of 54
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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. 

Question number: 37
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Estimate is the observed value of an:
Choices
Choice (4)  Response  

a.  Statistical hypothesis  
b.  Stastical Inference  
c.  Estimator  
d.  None of the above 
Question number: 38
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If is a random sample drawn from a population which takes the values 1 or 0 with respective probabilities and , then is
Choices
Choice (4)  Response  

a.  An unbiased estimator of  
b.  An unbiased estimator of  
c.  A biased estimator of  
d.  All of the above 