Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 164  168 of 222
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Question number: 164
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
Confidence intervals for the parameters , of the Normal distribution, when is known, is given by
Choices
Choice (4)  Response  

a. 


b. 


c.  Both a. and b. are correct 

d.  Question does not provide sufficient data or is vague 

Question number: 165
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
90 % Confidence Interval for if a sample of size 1029, where
and
Choices
Choice (4)  Response  

a. 


b. 


c. 


d.  All a. , b. and c. are correct 

Question number: 166
» Statistical Inference and Hypothesis Testing » Factorization Theorem
Question
If is a statistics for a parameter of the density function and for i = 1, 2, …, n can be factorized as , Then is a ________
Choices
Choice (4)  Response  

a.  Efficient Estimator 

b.  Consistent Estimator 

c.  Unbiased Estimator 

d.  Sufficient Estimator 

Question number: 167
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
What is the value of used in a 93 % confidence interval?
Choices
Choice (4)  Response  

a.  1.40 

b.  2.48 

c.  1.81 

d.  1.96 

Question number: 168
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
The health organization wants to study the mean weight of the Indian women of the age group 30  40. A sample of forty woman of that age group is randomly selected and their weights in pounds are recorded.
140  153  167  115 
136  136  145  125 
147  134  154  148 
136  126  139  132 
152  132  139  120 
130  138  138  146 
116  137  143  115 
159  147  122  145 
128  123  134  127 
131  154  150  116 
The calculated standard deviation is σ = 12.77. What can you interpret from the 90 % and 99 % confidence interval for the mean weight?
Choices
Choice (4)  Response  

a.  The length of the 90 % confidence interval is more compared to 99 % interval 

b.  The length of the 99 % confidence interval is more compared to 90 % interval 

c.  None of the above 

d.  Question does not provide sufficient data or is vague 
