ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 59  64 of 253
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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 
Question number: 60
» 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: 61
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Estimate is the observed value of an:
Choices
Choice (4)  Response  

a.  Stastical Inference  
b.  Statistical hypothesis  
c.  Estimator  
d.  All of the above 
Question number: 62
» 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.  A biased estimator of  
c.  An unbiased estimator of  
d.  Question does not provide sufficient data or is vague 
Question number: 63
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
A statistic is biased if the mean of the sampling distribution of the statistic is
Choices
Choice (4)  Response  

a.  Not equal to the parameter.  
b.  Less than the parameter  
c.  Equal to the parameter  
d.  All of the above 
Question number: 64
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
The mean of a random sample is always a consistent estimator of the population mean μ. This statement is
Choices
Choice (4)  Response  

a.  False  
b.  True for all distributions  
c.  True only for Bernoulli distribution  
d.  Question does not provide sufficient data or is vague 