Time and PlaceChapters 1 - 4Chapters 5 - 8Chapters 9 - 11Chapter 13Chapter 14ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14ReviewRobb T. KoetherHampden-Sydney CollegeTue, Dec 8, 2009ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Outline1Time and Place2Chapters 1 - 43Chapters 5 - 84Chapters 9 - 115Chapter 136Chapter 14ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Outline1Time and Place2Chapters 1 - 43Chapters 5 - 84Chapters 9 - 115Chapter 136Chapter 14ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Time and PlaceTime: Tuesday, December 15, 9:00 am.Place: Here (Bagby 022).ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Outline1Time and Place2Chapters 1 - 43Chapters 5 - 84Chapters 9 - 115Chapter 136Chapter 14ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapter 1Introduction to Hypothesis Testing.Bag A vs. Bag B, or some similar situation.Direction of extreme.Type I error - α.Type II error - β.p-value.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapter 2Random Sampling.Population.Sample.Simple random sample - randInt().Stratified sample - heterogeneous groups.Cluster sample - homogeneous groups.Systematic sampling.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapter 3Observational Studies and Experiments.Variable.Explanatory variable.Response variable.Confounding variable.Observational study.Experimental study.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapter 4Graphical Displays of Qualitative Data.Pie chart.Bar graph.Graphical Displays of Quantitative Data.Frequency plot.Stem-and-leaf display.Histogram.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Outline1Time and Place2Chapters 1 - 43Chapters 5 - 84Chapters 9 - 115Chapter 136Chapter 14ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapter 5Computation of Basic Statistics.Statistic vs. parameter.Measures of Center.Median.Mean.Measures of Spread.Standard deviation.Variance.Quartiles.Five-number summary (from stem-and-leaf display).Boxplots.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapters 6 and 7Probability DistributionsNormal.Uniform.Triangular.Probability.Percentile.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapter 8Sampling Distributions of x and ˆpFor very small samples, find sampling distributions for xand ˆp by hand.For large samples, use the Central Limit Theorem forMeans and Proportions.For all sample sizes, CLT gives mean and standarddeviation of ˆp and x–only the shape requires asufficiently large sample size.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Outline1Time and Place2Chapters 1 - 43Chapters 5 - 84Chapters 9 - 115Chapter 136Chapter 14ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapters 9Hypothesis Tests and Confidence Intervals forProportions (One Sample)The seven steps of hypothesis testing.One-sample test for p.One-sample confidence interval for p.Know the formula for test statistic.Know the formula for confidence interval.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapters 10Hypothesis Tests and Confidence Intervals for Means(One Sample)The seven steps of hypothesis testing.One-sample test for µ.One-sample confidence interval for µ.Standard normal vs. t distributions.Know the formulas for test statistics (z and t).Know the formulas for confidence intervals (z and t).ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapters 11Hypothesis Tests and Confidence Intervals forDifferences between Means and Proportions (TwoSamples).Independent sample vs. paired sample.The seven steps of hypothesis testing.Test for µD= 0.Two-sample test for µ1− µ2.Two-sample test for p1− p2.Standard normal vs. t distributions.Formulas are on the formula sheet.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Outline1Time and Place2Chapters 1 - 43Chapters 5 - 84Chapters 9 - 115Chapter 136Chapter 14ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapter 13Linear Regression.Bivariate quantitative data.Scatterplot.Equation of the regression line ˆy = a + bx.Prediction, interpolation, extrapolation.Correlation coefficient r.Coefficient of determination r2.Sums of squares - SST, SSR, SSE.Strength vs. significance of the relationship.Test of significance of β and ρ.Formulas are on the formula sheet.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Outline1Time and Place2Chapters 1 - 43Chapters 5 - 84Chapters 9 - 115Chapter 136Chapter 14ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14Chapter 14Analysis of Count Data.Expected counts.Chi-square distribution.Goodness of fit test.Tests of independence or homogeneity.Formulas are on the formula sheet.ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14The TI-83Random numbers MATH > PRB.RandIntStatistical Calculations STAT > CALC1-Var Stats2-Var StatsLinReg(a+bx)ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14The TI-83Statistical Tests STAT > TESTZ-TestT-Test2-SampZTest2-SampTTest1-PropZTest2-PropZTestχ2-TestLinRegTTestReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14The TI-83Confidence Intervals STAT > TESTZIntervalTInterval1-PropZIntReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14DecisionsDoes the problem involve means or proportions?Does it involve one sample or two samples?Is it asking for a hypothesis test or a confidenceinterval?ReviewRobb T.KoetherTime andPlaceChapters 1 - 4Chapters 5 - 8Chapters 9 -11Chapter 13Chapter 14DecisionsDoes the problem involve means or proportions?Does it
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