IE360%20HW6%20solutions

# IE360%20HW6%20solutions - IE 360 Homework Assignment#6...

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IE 360 Homework Assignment #6 Solutions 8-44 8-50 a only 9-36 a only 9-53 a & b only 9-54 a only 9-70 9-73 9-80 9-86 a only 9-89 a only ** Note : several of the Chapter 9 questions ask you to find a P-value – you can skip this part of the question. You do not need to find P-values. 8-44 95% confidence interval for σ 99 . 15 41 = = s n 34 . 59 2 40 , 025 . 0 2 1 , 2 / = = χ χ α n and 43 . 24 2 40 , 975 . 0 2 1 , 2 / 1 = = χ χ α n 46 . 20 13 . 13 633 . 418 35 . 172 43 . 24 ) 99 . 15 ( 40 34 . 59 ) 99 . 15 ( 40 2 2 2 2 < < σ σ σ The data don’t appear to be normally distributed based on examination of the normal probability plot below. Therefore, there is not enough evidence to support that the time of tumor appearance is normally distributed. So the 95% confidence interval for σ is invalid. TimeOfTumor Percent 140 120 100 80 60 40 99 95 90 80 70 60 50 40 30 20 10 5 1 Mean <0.005 88.78 StDev 15.99 N 41 AD 1.631 P-Value Probability Plot of TimeOfTumor Normal - 95% CI

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