# Final Exam Review Sheet for stats - Definition Conditions p...

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Definition Conditions # of Populations # of Variables Categorical/Quantitative p Population proportion 1. Random sample 2. np> 10, n(1-p)> 10 1 1 Categorical (Keywords: proportion/percentage) p 1 -p 2 Difference in population proportion 1. Random, Independent Samples 2. n 1 p, n 1 (1-p), n 2 p, n 2 (1-p) all must be > 10 (using common p-hat) 2 1 one-sample test Population mean 1. Random Sample 2. Normal/CLT n> 25 1 1 Quantitative (Keywords: mean/average) d paired differences Population mean difference 1. Random Sample 2. Differences must be normal/CLT 1 2 1 - 2 independent samples test Difference in population means 1.Random, Independent Samples 2.Normal/CLT n 1 > 25 and n 2 > 25 2 1 Hypotheses for p 1 -p 2 : Hypotheses for d : Hypotheses for 1 - 2 : H o : p 1 = p 2 H a : p 1 > p 2 H o : d = 0 H a : d > 0 H o : 1 = 2 H a : 1 > 2 H o : p 1 = p 2 H a : p 1 < p 2 H o : d = 0 H a : d < 0 H o : 1 = 2 H a : 1 < 2 H o : p 1 = p 2 H a : p 1 p 2 H o : d = 0 H a : d 0 H o : 1 = 2 H a : 1 2 Hypotheses for ANOVA : H o : 1 = 2 = 3 = 4 H a : at least one population mean is different Conditions o Random Sample o Independent o Samples come from population with normal distribution o Equal variances What to use o Use turkeys method to asses if means are different from each population o Different if 0 is not in confidence interval as well Hypotheses for Significant Linear Relationships : H o : 1 = 0 H a : B 1 > 0 H o : 1 = 0 H a : B 1 < 0 H o :