A survey was conducted that asked 1006 people how many books they had read in th

Question

A survey was conducted that asked 1006 people how many books they had read in the past year. Results indicated that x over bar=12.3 books and s=16.6 books. Construct a 95?% confidence interval for the mean number of books people read. Interpret the interval.

A. There is a 95?% chance that the true mean number of books read is between ___ and ___.

B. There is 95?% confidence that the population mean number of books read is between ___ and ___.

C. If repeated samples are? taken, 95?% of them will have a sample mean between ___ and ___.

Explanation / Answer

Solution:

Given that x-bar = 12.3, s = 16.6
sample mean : x-bar = 12.3

margin of error : E = 1.96*16.6/sqrt(1006) = 1.026
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95% CI : 12.3-1.026 < u < 12.3+1.026
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Ans : B) there is 95% confidence that the population mean number of books read is between [11.274] and [13.326].

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