Which of the following confidence intervals would produce the widest interval when estimating the mean of a population from the mean and standard deviation of a sample of that population?

A. 38%
B. 26%
C. 54%
D. 11%

(I think the right answer is C I just wanted to confirm, thanks!)

Question

Which of the following confidence intervals would produce the widest interval when estimating the mean of a population from the mean and standard deviation of a sample of that population?

A. 38%
B. 26%
C. 54%
D. 11%

(I think the right answer is C I just wanted to confirm, thanks!)

mathmate · Answer

C is correct.  You can visualize it from the picture below.
|dw:1418905178246:dw| 
If the experiment is repeated, the interval is estimated to contain the true mean $\mu$ approximately 54% of the time.