1. In a private library the books are kept on 130 shelves of similar size. The numbers of books on 15 shelves picked at random were found to be: 28, 23, 25, 33, 31, 18, 22, 29, 30, 32, 26, 20, 21, 28, 25. (a) Estimate the average number, µ, of books on a shelf and calculate an approximate 95% confidence interval for µ. (b) Estimate the total number, 7, of books in the library, and calculate an approximate 95% confidence interval for 7.

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1. In a private library the books are kept on 130 shelves of similar size. The numbers of
books on 15 shelves picked at random were found to be:
28, 23, 25, 33, 31, 18, 22, 29, 30, 32, 26, 20, 21, 28, 25.
(a) Estimate the average number, H, of books on a shelf and calculate an approximate
95% confidence interval for u.
(b) Estimate the total number, 7, of books in the library, and calculate an approximate
95% confidence interval for 7.
(c) Suppose the estimate of the total is not accurate enough; we want to be 95% sure
that a simple random sample estimate of T is within 100 of the true value. How many
shelves should be included in the sample?
Transcribed Image Text:1. In a private library the books are kept on 130 shelves of similar size. The numbers of books on 15 shelves picked at random were found to be: 28, 23, 25, 33, 31, 18, 22, 29, 30, 32, 26, 20, 21, 28, 25. (a) Estimate the average number, H, of books on a shelf and calculate an approximate 95% confidence interval for u. (b) Estimate the total number, 7, of books in the library, and calculate an approximate 95% confidence interval for 7. (c) Suppose the estimate of the total is not accurate enough; we want to be 95% sure that a simple random sample estimate of T is within 100 of the true value. How many shelves should be included in the sample?
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