ISS (Statistical Services) Statistics Paper II (New 2016 MCQ Pattern): Questions 177  179 of 246
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Question number: 177
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
A 95 % confidence interval is shown as . This means
Choices
Choice (4)  Response  

a.  Probability that lies in the interval 60.84 and 96.5 is 0.95 

b.  The length of the confidence interval is 35.66 

c.  60.84 and 96.5 are 95 percent confidence limits 

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

Question number: 178
» Statistical Inference and Hypothesis Testing » Minimum Variance Unbiased Estimators
Question
If is an MVU estimator of for all and is any other unbiased estimator of with efficiency , then the correlation coefficient between is given by
all
Choices
Choice (4)  Response  

a.  for all 

b.  for all 

c.  for all 

d.  for all 

Question number: 179
» Statistical Inference and Hypothesis Testing » Confidence Interval Estimation
Question
In a college survey, children were asked how many hours they study per day. A sample of 22 children is collected. The mean was 3.25 hours with a standard deviation of 1.57 hours. Then 95 % and 99 % confidence interval for the number of hours of study per day is
Choices
Choice (4)  Response  

a.  and 

b.  and 

c.  and 

d.  All of the above 
