ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 42  46 of 246
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Question number: 42
» 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: 43
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If , then which of the following is true?
Choices
Choice (4)  Response  

a.  is a Unbiased estimator 

b.  is a biased estimator of 

c. 


d.  Question does not provide sufficient data or is vague 

Question number: 44
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If the mean of the estimator is not equal to the population parameter, the estimator is said to be:
Choices
Choice (4)  Response  

a.  Biased 

b.  Positively biased 

c.  Unbiased 

d.  Negatively biased 

Question number: 45
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If is a random sample from a Bernoulli population with parameter, then is
Choices
Choice (4)  Response  

a.  An unbiased estimator of 

b.  A biased estimator of 

c.  An unbiased estimator of +1 

d.  None of the above 

Question number: 46
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
If are normally distributed random variables with mean μ and variance , then sample variance is
Choices
Choice (4)  Response  

a.  Unbiased estimate of population variance 

b. 


c.  Not an unbiased estimate of population variance 

d.  Both b. and c. are correct 
