Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 37  41 of 222
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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 

Question number: 39
» 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.  Equal to the parameter 

b.  Not equal to the parameter. 

c.  Less than the parameter 

d.  Question does not provide sufficient data or is vague 

Question number: 40
» 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.  True for all distributions 

b.  False 

c.  True only for Bernoulli distribution 

d.  All of the above 

Question number: 41
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
If T is the MLE of and is one to one function of , then is the MLE of . This is known as the
Choices
Choice (4)  Response  

a.  Asymptotic Normality of MLE 

b.  Consistency property of MLE 

c.  Invariance property of MLE 

d.  None of the above 
