Chapter 9 formulas

Chapter 9 formulas - Formulas Chapter Nine: Inferences...

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Formulas Chapter Nine: Inferences Based on Two Samples; Confidence Intervals and Tests of Hypothesis Randall Miller 1 | Page Key Symbols o 12 µµ −→ Difference between population means o d µ Paired difference in population means o pp Difference between population proportions o 22 / σσ Ratio of population variances o 0 D Hypothesized value of difference o xx Difference between sample means o d x Mean of sample differences o ˆˆ Difference between sample proportions o / ss Ratio of sample variances o ( ) σ Standard error for o d Standard error for d o ( ) Standard error for o F α Critical value for F -distribution o 1 ν Numerator degrees of freedom for F -distribution o 2 Denominator degrees of freedom for F -distribution o SE Sampling error in estimation Formulas Large Sample Confidence Interval for ( ) μ -μ ( ) ( ) ( ) ( ) 1 2 /2 1 2 1 2 xx z nn αα −± =−± + ≈−± + Large-Sample Test of Hypothesis for ( ) One-Tailed Test [ ] 01 2 0 0 0 : : or : a a HD −= −< −> Two-Tailed Test 0 0 : : a −≠ Where 0 D = Hypothesized difference between the means (this difference is often hypothesized to be equal to 0)

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Formulas Chapter Nine: Inferences Based on Two Samples; Confidence Intervals and Tests of Hypothesis Randall Miller 2 | Page Test statistic : ( ) ( ) 12 0 xx xx D z σ −− = where ( ) 2 2 22 1 2 1 2 ss n n nn σσ = +≈ +
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This note was uploaded on 07/23/2011 for the course STA 3123 taught by Professor Staff during the Fall '08 term at FIU.

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Chapter 9 formulas - Formulas Chapter Nine: Inferences...

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