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IE4521_HW8_Solution

IE4521_HW8_Solution - Homework 8 IE4521 Fall 2009 Due 10:10...

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Unformatted text preview: Homework 8 IE4521 Fall 2009 Due: 10:10 AM * on Thursday, Nov. 19 th The assignment should be neatly written, and all pages should be stapled together. Problems that ask for explanation must be answered using complete sentences. Put a box around answers that are numbers or formulas, and show all work. Note that answers to odd- numbered book problems can be found in the back of the text. The number of problems corresponds to the required text(third edition) unless being speci ed. 1. (20 points) 9.6.3 Solution Let population A denote the crystals that are measured at the 80 ◦ level and let population B denote the crystals that are measured at the 150 ◦ level. Our null hypothesis is H : μ A = μ B , and we can use the method of paired samples as n = m = 35 . Therefore, we'll test the equivalent null hypothesis H : μ = 0 where μ = μ A- μ B . (a) The t-statistic for this experiement is t = √ 35 (10 . 07- 0) 8 . 26 = 7 . 21 The p-value is 2 Pr ( X ≥ 7 . 21) where X ∼ t 34 , which is less that...
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IE4521_HW8_Solution - Homework 8 IE4521 Fall 2009 Due 10:10...

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