Lec20A - Slide 16, Lec20 IOE/Stat 265 Fall 2009 IOE/Stat...

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E/Stat 265 Fall 2009 IOE/Stat 265, Fall 2009 Lecture #20A: Addendum 8-3 Test Population Proportion Test Normal Variance (or Std Dev) 8-X 8.5 Summary of Single Population Tests 1 Textbook Example 8.13 mall Sample Binomial Hypothesis Test Slide 16, Lec20 Small Sample Binomial Hypothesis Test ± = 20 cans placed on accelerated life test n 20 cans placed on accelerated life test ± x = number that survive test arrantee will be modified if fewer than 90% ± Warrantee will be modified if fewer than 90% of cans are expected to survive. p .9 versus H p<0 .9 ± H 0 : p 0.9 versus H 1 : p < 0.9 ± Use α = 0.05 equation to solve for “c” ± See Appx A1: B(c;20,0.9) 0.05 ± x 15 pp ( ; , ) (i.e. c =16) ± Use β equation to estimate Type II Error ± e.g. if p = 0.8 β = P(x 16 | p = 0.8) = 1 – B(15; 20, 0.8) = 0.63 2 ottle Filling Example (Revisited) Bottle Filling Example (Revisited) ± Suppose automated filling of detergent requires σ 2 0.01 oz 2 otherwise an unacceptable umber of bottles will be nderfilled number of bottles will be underfilled.
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This note was uploaded on 03/17/2010 for the course IOE 265 taught by Professor Garyherrin during the Fall '09 term at University of Michigan-Dearborn.

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Lec20A - Slide 16, Lec20 IOE/Stat 265 Fall 2009 IOE/Stat...

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