Question

for many years, a large book publisher has published an expansive series of introductory science books for the general public. the chief editor of the series has always encouraged his writers to write reasonably short books. the chief editor has some recollections regarding the mean and variance of the pages of the books in the series. the chief editor takes a random sample of 15 books in the series. these books have a sample mean of 152 pages with a sample variance of 1369 pages². the chief editors recollections are that the books published in the series have a population mean of 147 pages with a population variance of 1024 pages². fill in the blanks below with the proper notation for the population variance, the sample mean, and the sample variance. population variance: select = 1024 pages². sample mean: select = 152 pages. sample variance: select = 1369 pages².

Explanation:

• Population variance is denoted by \(\sigma^{2}\).
• Sample mean is denoted by \(\bar{x}\).
• Sample variance is denoted by \(s^{2}\).

Answer:

• Population variance: \(\sigma^{2}=1024\) pages\(^{2}\)
• Sample mean: \(\bar{x} = 152\) pages
• Sample variance: \(s^{2}=1369\) pages\(^{2}\)