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Chapter 7 formulas

Chapter 7 formulas - Formulas Chapter Seven Inferences...

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Formulas Chapter Seven: Inferences Based on a Single Sample; Estimation with Confidence Intervals Randall Miller 1 | P a g e Key Symbols o θ General population parameter (theta) o ˆ θ Estimator of θ o µ Population mean o σ Population standard deviation o p Population proportion; P (Success) in binomial trial o 1 q p o x Sample mean (estimator of µ ) o ˆ p Sample proportion (estimator of p ) o x µ True mean of sampling distribution of x o x σ True standard deviation of sampling distribution of x o ˆ p σ Standard deviation of the sampling distribution of ˆ p o SE Sampling error in estimation o α (1 - α ) represents the confidence coefficient o /2 z α z -values used in a ( ) 100 1 % α large-sample confidence interval o /2 t α Student’s t -value used in a ( ) 100 1 % α small-sample confidence interval Formulas Large-Sample ( ) α 100 1- % Confidence Interval for µ The large-sample ( ) 100 1 % α confidence interval for µ is /2 /2 x x z x z n

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Chapter 7 formulas - Formulas Chapter Seven Inferences...

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