Question 1: Which of the following statements regarding a 90% Confidence Interva

Question

Question 1: Which of the following statements regarding a 90% Confidence Interval are correct:

1) We are 90% confident that given interval contains an unknown Population Parameter.
2) 90 out of 100 such intervals contain an unknown Population Parameter.
3) There is a 90% chance that given interval contains an unknown Population Parameter.

All statements are correct
1 and 2 are correct
2 and 3 are correct
1 and 3 are correct
All statements are incorrect

Question 2: When sampling from the same Population, using a fixed Sample size,
which one of the following Confidence Intervals will be the widest?

90% CI
95% CI
99% CI
All of them will have the same width

Question 3: When sampling from the same Population, using a fixed Confidence Level,
the narrowest Confidence Interval will correspond to a Sample of size:

n=80
n=100
n=30
All of them will have the same width

Explanation / Answer

for confidence interval is inversely proportional to square root of sample size. Hence it will decrease with increase of sample size.

hence narrowest  Confidence Interval will correspond to a Sample of size n=100 ; option B

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