ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 55  59 of 253
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Question number: 55
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
A biased estimator is consistent if
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  None of the above 

Question number: 56
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
A random sample of size 5 is drawn from a normal population with unknown mean . Then is a unbiased estimator of
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 57
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
For normal distribution
Choices
Choice (4)  Response  

a.  Sample median is more efficient estimator. Since, 

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

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

d.  Question does not provide sufficient data or is vague 

Question number: 58
» 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 unbiased estimators 

c.  and are biased estimators 

d.  All of the above 

Question number: 59
» 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 only for binomial distribution 

b.  False 

c.  True for all distributions 

d.  All of the above 
