A manufacturer of college textbooks is interested in estimating the strength of

Question

A manufacturer of college textbooks is interested in estimating the strength of the bindings produced by a particular binding machine. Strength can be measured by recording the force required to pull the pages from the binding. If this force is measured in pounds, how many books should be tested to estimate with 98% confidence to within 0.1 lb, the average force required to break the binding? Assume that is known to be 0.6 lb. (Use the value of z rounded to two decimal places.)

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Explanation / Answer

ME =0.05, need 98% CI, SD = 0.8 as ME = z*SE, we want ME = 0.05, thus z*SD/root(n) = 0.05 This gives n = (SD * z /ME)^2 , where z = z_(alpha/2) = z_(0.01) = 2.326 n = (0.8*2.326/0.05)^2= 1385.0307 Hence we should take n = 1386

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