Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 77  81 of 222
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Question number: 77
» Statistical Inference and Hypothesis Testing » Estimation Methods of Maximum Likelihood
Question
A sample of size n is drawn from each of the four a normal populations which have the same variance . the means of the four populations are , , and . The MLE of is
Choices
Choice (4)  Response  

a. 


b. 


c. 


d. 


Question number: 78
» 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: 79
» 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: 80
» 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: 81
» 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 
