Statistical Inference and Hypothesis Testing (ISS Statistics Paper II (New 2016 MCQ Pattern)): Questions 16  20 of 222
Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to 246 questions. Access all new questions we will add tracking exampattern and syllabus changes. View Sample Explanation or View Features.
Rs. 200.00 or
Question number: 16
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
Let be a random sample of size n = 3 from a distribution with mean and variance . Then is a unbiased estimator of
Choices
Choice (4)  Response  

a. 
 
b. 
 
c. 
 
d.  None of the above 
Question number: 17
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
An estimator is said to be sufficient for a parameter, if it contains
Choices
Choice (4)  Response  

a.  If the conditional distribution of , given T is independent of the parameter.  
b.  All the information in the sample regarding the parameter.  
c.  Both a. and b. are correct  
d.  None of the above 
Question number: 18
» 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: 19
» 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: 20
» 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 