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H-SC MATH 121 - Lecture 53 - Review

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Review Robb T Koether Time and Place Chapters 1 4 Review Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Robb T Koether Hampden Sydney College Tue Dec 8 2009 Outline Review Robb T Koether 1 Time and Place 2 Chapters 1 4 3 Chapters 5 8 4 Chapters 9 11 5 Chapter 13 6 Chapter 14 Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Outline Review Robb T Koether 1 Time and Place 2 Chapters 1 4 3 Chapters 5 8 4 Chapters 9 11 5 Chapter 13 6 Chapter 14 Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Time and Place Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Time Tuesday December 15 9 00 am Place Here Bagby 022 Outline Review Robb T Koether 1 Time and Place 2 Chapters 1 4 3 Chapters 5 8 4 Chapters 9 11 5 Chapter 13 6 Chapter 14 Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Chapter 1 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Introduction to Hypothesis Testing Bag A vs Bag B or some similar situation Direction of extreme Type I error Type II error p value Chapter 2 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Random Sampling Population Sample Simple random sample randInt Stratified sample heterogeneous groups Cluster sample homogeneous groups Systematic sampling Chapter 3 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Observational Studies and Experiments Variable Explanatory variable Response variable Confounding variable Observational study Experimental study Chapter 4 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Graphical Displays of Qualitative Data Pie chart Bar graph Graphical Displays of Quantitative Data Frequency plot Stem and leaf display Histogram Outline Review Robb T Koether 1 Time and Place 2 Chapters 1 4 3 Chapters 5 8 4 Chapters 9 11 5 Chapter 13 6 Chapter 14 Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Chapter 5 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Computation 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 Chapters 6 and 7 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Probability Distributions Normal Uniform Triangular Probability Percentile Chapter 8 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Sampling Distributions of x and p For very small samples find sampling distributions for x and p by hand For large samples use the Central Limit Theorem for Means and Proportions For all sample sizes CLT gives mean and standard deviation of p and x only the shape requires a sufficiently large sample size Outline Review Robb T Koether 1 Time and Place 2 Chapters 1 4 3 Chapters 5 8 4 Chapters 9 11 5 Chapter 13 6 Chapter 14 Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Chapters 9 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Hypothesis Tests and Confidence Intervals for Proportions 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 Chapters 10 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Hypothesis Tests and Confidence Intervals for Means One Sample The seven steps of hypothesis testing One sample test for One sample confidence interval for Standard normal vs t distributions Know the formulas for test statistics z and t Know the formulas for confidence intervals z and t Chapters 11 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Hypothesis Tests and Confidence Intervals for Differences between Means and Proportions Two Samples Independent sample vs paired sample The seven steps of hypothesis testing Test for D 0 Two sample test for 1 2 Two sample test for p1 p2 Standard normal vs t distributions Formulas are on the formula sheet Outline Review Robb T Koether 1 Time and Place 2 Chapters 1 4 3 Chapters 5 8 4 Chapters 9 11 5 Chapter 13 6 Chapter 14 Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Chapter 13 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Linear Regression Bivariate quantitative data Scatterplot Equation of the regression line y 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 and Formulas are on the formula sheet Outline Review Robb T Koether 1 Time and Place 2 Chapters 1 4 3 Chapters 5 8 4 Chapters 9 11 5 Chapter 13 6 Chapter 14 Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Chapter 14 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Analysis of Count Data Expected counts Chi square distribution Goodness of fit test Tests of independence or homogeneity Formulas are on the formula sheet The TI 83 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Random numbers MATH PRB RandInt Statistical Calculations STAT CALC 1 Var Stats 2 Var Stats LinReg a bx The TI 83 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Statistical Tests STAT TEST Z Test T Test 2 SampZTest 2 SampTTest 1 PropZTest 2 PropZTest 2 Test LinRegTTest The TI 83 Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Confidence Intervals STAT TEST ZInterval TInterval 1 PropZInt Decisions Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Does the problem involve means or proportions Decisions Review Robb T Koether Time and Place Chapters 1 4 Chapters 5 8 Chapters 9 11 Chapter 13 Chapter 14 Does the problem involve means or proportions Does it involve one sample or two samples Decisions Review Robb T Koether Time and


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