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# A study was carried out to compare the writing lifetimesof four premium brands of pens

ISBN: 9781305251809 122

## Solution for problem 22 Chapter 11.2

Probability and Statistics for Engineering and the Sciences | 9th Edition

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Problem 22

A study was carried out to compare the writing lifetimesof four premium brands of pens. It was thought that thewriting surface might affect lifetime, so three differentsurfaces were randomly selected. A writing machine wasused to ensure that conditions were otherwise homogeneous(e.g., constant pressure and a fixed angle). Theaccompanying table shows the two lifetimes (min)obtained for each brandsurface combination.Writing Surface 1 2 3 xi??1 709, 659 713, 726 660, 645 4112Brand 2 668, 685 722, 740 692, 720 4227of Pen 3 659, 685 666, 684 678, 750 41224 698, 650 704, 666 686, 733 4137x?j? 5413 5621 5564 16,598Carry out an appropriate ANOVA, and state yourconclusions.

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Statistics​ ​ 41 Week​ ​3 Chapter​ ​3​ ​Part​ ​2 ➪Coefficient​ ​of​ ​Variation​ ​(CV):​ ​measures​ ​the​ ​spread​ ​of​ ​the​ ​data​ ​relative​ ​to​ ​the​ ​mean​ ​of​ ​the​ ​data; measured​ ​as​ a​ ​ ​percentage Standard deviation ÷ mean = CV (multiply​ a ​ nswer​ b​ y​ ​100​ ​​ ake​ ​it​ ​ ercentage) ● A​ ​smaller​ ​CV​ ​indicated​ ​a​ ​higher​ ​consistency,​...

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