SOLUTION: A survey was conducted that asked 1077 people how many books they had read in the past year. Results indicated that x = 15.5 books and s = 17.8 books. Construct a 96​% confidence

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Question 1137905: A survey was conducted that asked 1077 people how many books they had read in the past year. Results indicated that x = 15.5 books and s = 17.8 books. Construct a 96​% confidence interval for the mean number of books people read. Interpret the interval.
Construct a 96​% confidence interval for the mean number of books people read and interpret the result. Select the correct choice below and fill in the answer boxes to complete your choice.
​(Use ascending order. Round to two decimal places as​ needed.)
A.
There is a 96​% chance that the true mean number of books read is between
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B.
If repeated samples are​ taken, 96​% of them will have a sample mean between
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C.
There is 96​% confidence that the population mean number of books read is between...Blank and Blank
Answer by rothauserc(4718) About Me  (Show Source):
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standard error(SE) = 17.8/square root(1077) = 0.5424
:
alpha(a) = 1 - (96/100) = 0.04
:
critical probability(p*) = 1 -(a/2) = 0.98
:
critical value(CV) is the z-score associated with p*
:
CV = 2.05
:
Margin of Error(ME) = CV * SE
:
ME = 2.05 * 0.5424 = 1.1119 is approximately 1.11
:
The 96% confidence interval is 15.5 + or - 1.11, which is (14.39, 16.61)
:
A 96% confidence interval means that we expect that 96% of interval estimates to include the population mean
:
Answer is C.