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The pages per book in a library are normally distributed with an unknown population mean and...

The pages per book in a library are normally distributed with an unknown population mean and standard deviation. A random sample of 41 books is taken and results in a sample mean of 341 pages and sample standard deviation of 22 pages. Find the EBM, margin of error, for a 95% confidence interval estimate for the population mean using the Student's t-distribution.

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Expert Solution

Solution: Given that n = 41, mean = 341, sd = 22, 95% Confidence interval
df = n-1 = 41 - 1 = 40, t(0.05,40) = 2.021

Margin of error = t*s/sqrt(n) = 2.021*22/sqrt(41) = 6.9438

95% confidence interval estimate for the population mean : x +/- t*s/sqrt(n)
= 341 +/- 2.021*22/sqrt(41)
= (334.0562 , 347.9438)

milcah answered 1 year ago
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