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# Lec20 - IOE/Stat 265 Fall 2009 IOE/Stat 265 Fall 2009...

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E/Stat 265 Fall 2009 IOE/Stat 265, Fall 2009 Lecture #20: Hypothesis Tests for One Variance or Proportion 8-3 Test Population Proportion Test Normal Variance (or Std Dev) 8-X 8.5 Summary of Single Population Tests 1 xample : arpet Durability Example 4: Carpet Durability arpet Durability data: urability MPJ ± Carpet Durability data: Durability.MPJ ± Manufacturer Claims average life expectancy to exceed 10 years. ± Use Minitab to verify the claim. 2 sing Minitab for Hypothesis Testing Using Minitab for Hypothesis Testing 3 sing Minitab for Sample Size Planning Using Minitab for Sample Size Planning ± Suppose the carpet’s average life expectancy was actually 11 years. How much data ould be required to justify the “10 Year” would be required to justify the 10 Year claim with probability .90 ? (Assume α = .05) 4

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ingle Sample Proportion Tests 8-3 Single Sample Proportion Tests ypically we only conduct proportion hypothesis tests ± Typically, we only conduct proportion hypothesis tests for large samples. ± For small sample size, we may compute probabilities of Type I and Type II errors using Cumulative Binomial calculations. Case USE Test Statistic Formula Tests of Single Population Proportion 4 Large sample, normal z o p o ˆ 5 approxim ation n / ) 1 ( quivalent Approach Equivalent Approach t X = number of sample items with property of ± Let X = number of sample items with property of interest ± Assume Binomial r.v. With E(X) = np V(X) = np(1-p) ase SE est Statistic ormula 4 z o ) xn 6 approximation (1 oo np ingle Proportion arge Sample Single Proportion - Large Sample ± Require np 10 and n(1-p ) 10 (Normal qp 0 ( p o ) ( approximation) ± Null Hypothesis: = o ± Test Statistic: ˆ (1 ) / pp z = ± Alt Hypothesis Reject Region 10 : Hp α >≥ <≤ 7 1 0 /2 or ≠≤ xample : jection Molding Example 5: Injection Molding ± Suppose you produce injection molding parts.
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• Fall '09
• GaryHerrin
• Statistical hypothesis testing, Statistical significance, Type I and type II errors, Statistical vs Statistical vs Practical Significance Significance

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Lec20 - IOE/Stat 265 Fall 2009 IOE/Stat 265 Fall 2009...

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