ISS Statistics Paper II (New 2016 MCQ Pattern): Questions 102  106 of 246
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Question number: 102
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
Let be a random sample from the distribution with pdf
; , , the MLE of is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 103
» Statistical Inference and Hypothesis Testing » Moments and Least Squares
Question
The credit of inventing the method of moments for estimating the parameters goes to
Choices
Choice (4)  Response  

a.  CramerRao 

b.  Karl Pearson 

c.  R. A. Fisher 

d.  Neyman 

Question number: 104
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
It is given that , and . Then the 95 % Confidence Interval for the population mean
Choices
Choice (4)  Response  

a.  1725.61 ± 222.45 

b.  1725.61 ± 897.36 

c.  18 ± 222.45 

d.  1725.61 ± 110.69 

Question number: 105
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
The diameter of cylindrical rods is assumed to be normally distributed with a standard deviation of 0.91 cm. A sample of 25 rods has a mean diameter of 4.5 cm. 95 % confidence limits for population mean are:
Choices
Choice (4)  Response  

a.  1.9±0.098 

b. 


c. 


d.  All of the above 

Question number: 106
» Statistical Inference and Hypothesis Testing » CramerRao Inequality
Question
Which of the following is not a regularity condition for CramerRao Inequality?
Choices
Choice (4)  Response  

a.  The parameter space , can have only positive values. 

b.  The differentiation and integration of are interchangeable. In symbols


c.  The information function exists and is positive for all 

d.  The derivative exists for all 
