Class Meeting 14

Class Meeting 14 - CHEN 3010 Applied Data Analysis Class...

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1 CHEN 3010 Applied Data Analysis Class Meeting #14 Thursday, Oct. 14 th Today's Topics Reading for next Tuesday: pages 177-184 Homework #6 due now Homework #7 posted on web site, due Thu., Oct. 21 st Hypothesis tests on the variance of a normal distribution Chi-square distribution Confidence intervals on the variance of a normal distribution
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2 4-6 Inference on the Variance of a Normal Population 4-6.1 Hypothesis Testing on the Variance of a Normal Population
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3 4-6 Inference on the Variance of a Normal Population 4-6.1 Hypothesis Testing on the Variance of a Normal Population
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4 4-6 Inference on the Variance of a Normal Population 4-6.1 Hypothesis Testing on the Variance of a Normal Population
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5 4-6 Inference on the Variance of a Normal Population 4-6.1 Hypothesis Testing on the Variance of a Normal Population
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6 Properties of the Distribution 2 Χ Mean n µ= Variance 2 2n σ = Finding Probabilities 2 2 ,n α using the distribution density for n α is the area to the right of the point on the abscissa 0 0.02 0.04 0.06 0.08 0.1 0.12 0.14 0.16 0 5 10 15 20 25 2 n=5 Table III on p. A-5 of the text gives these values Excel functions: CHIDIST & CHIINV are also useful
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7 Example n 10, 0.05 α = 2 0.05,10 18.31 χ = 5% alpha 10 n 18.31 ChiSq(alpha,n) 0.05 alpha 10 n =CHIINV(alpha,n) ChiSq(alpha,n)
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8 4-6 Inference on the Variance of a Normal Population 4-6.1 Hypothesis Testing on the Variance of a Normal Population
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9 4-6 Inference on the Variance of a Normal Population 4-6.1 Hypothesis Testing on the Variance of a Normal Population
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This note was uploaded on 10/11/2011 for the course CHEN 3010 taught by Professor Kompala,dh during the Spring '08 term at Colorado.

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Class Meeting 14 - CHEN 3010 Applied Data Analysis Class...

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