Statistical Inference and Hypothesis Testing (ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern)): Questions 87  90 of 222
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Question number: 87
» Statistical Inference and Hypothesis Testing » CramerRao Inequality
Question
Regularity conditions of CramerRao inequality are related to
Choices
Choice (4)  Response  

a.  Integrability of functions 

b.  Neither (i) and (ii) 

c.  Differentiability of functions 

d.  Both a. and c. are correct 

Question number: 88
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
A school wants to study the number of days the students will be absent from school per year. It surveys attendance of 10 children and the number of days the children is absent from schools are
12

13

9

11

7

8

4

9

5

8

Standard deviation . Then 95 % Confidence interval on population mean is
Choices
Choice (4)  Response  

a.  8.6±2.05 

b.  6.55 ≤ μ ≤ 10.65 

c. 


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

Question number: 89
» Statistical Inference and Hypothesis Testing » Characteristics of Good Estimator
Question
is an ________ where as is an ________
Choices
Choice (4)  Response  

a.  Estimate and an estimator 

b.  Estimator and an estimate 

c.  Question does not provide sufficient data or is vague 

d.  All of the above 

Question number: 90
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
Suppose we want to estimate the mean amount of money spent by students on some project in a year. We have the following data of 10 randomly selected students. and calculated sample mean is 249 Rs. and standard deviation is 30 Rs. 95 % Confidence interval for is:
Choices
Choice (4)  Response  

a. 


b.  256.89±290.68 

c. 


d. 

