Review Lecture 51 Tue, Dec 13, 2005

Chapter 1 Sections 1.1 – 1.4. Sections 1.1 – 1.4. Be familiar with the language and principles of hypothesis testing. Be familiar with the language and principles of hypothesis testing. Given two explicit hypotheses, be able to calculate  and . Given two explicit hypotheses, be able to calculate  and . Given a value of the “test statistic,” be able to calculate the p-value. Given a value of the “test statistic,” be able to calculate the p-value. Etc. Etc.

Chapter 2 Sections 2.1 – 2.8. Sections 2.1 – 2.8. Know the characteristics of the different sampling methods: Know the characteristics of the different sampling methods: Simple random sampling Simple random sampling Stratified sampling Stratified sampling Systematic sampling Systematic sampling Cluster sampling. Cluster sampling.

Chapter 2 Be familiar with the different types of bias: Be familiar with the different types of bias: Selection bias. Selection bias. Response bias. Response bias. Non-response bias. Non-response bias. Experimenter bias. Experimenter bias. Etc. Etc.

Chapter 3 Sections 3.1 – 3.5. Sections 3.1 – 3.5. Know the difference between Know the difference between An observational study and an experiment. An observational study and an experiment. A prospective study and a retrospective study. A prospective study and a retrospective study. Be able to distinguish among explanatory, response, and confounding variables. Be able to distinguish among explanatory, response, and confounding variables. Be familiar with some methods of minimizing bias. Be familiar with some methods of minimizing bias. Etc. Etc.

Chapter 4 Sections 4.1 – 4.3.2, – 4.4.2, 4.4.4, 4.5. Sections 4.1 – 4.3.2, – 4.4.2, 4.4.4, 4.5. Be able to draw correctly Be able to draw correctly Pie charts Pie charts Bar graphs Bar graphs Stem-and-leaf displays Stem-and-leaf displays Frequency plots Frequency plots Histograms Histograms Know which ones are appropriate for which kinds of data. Know which ones are appropriate for which kinds of data.

Chapter 4 Be familiar with the important characteristics of a distribution’s shape. Be familiar with the important characteristics of a distribution’s shape. Etc. Etc.

Chapter 5 Sections 5.1 – 5.3. Sections 5.1 – 5.3. Measures of center: Measures of center: Mean Mean Median Median Mode Mode Measures of variation Measures of variation Range Range Interquartile range Interquartile range

Chapter 5 Variance Variance Standard deviation Standard deviation Be able to draw a boxplot. Be able to draw a boxplot. Etc. Etc.

Chapter 6 Sections 6.1 – 6.4. Sections 6.1 – 6.4. Be able to find a probability or percentile associated with a normal distribution. Be able to find a probability or percentile associated with a normal distribution. Be able to find a probability or percentile associated with a uniform distribution. Be able to find a probability or percentile associated with a uniform distribution. Know and be able to apply the Rule. Know and be able to apply the Rule.

Chapter 6 Be able to draw a discrete probability distribution and find probabilities associated with it. Be able to draw a discrete probability distribution and find probabilities associated with it. Etc. Etc.

Chapter 7 Section 7.5 – 7.5.1, Section 7.5 – 7.5.1, Know what a random variable is. Know what a random variable is. Know the difference between discrete and continuous random variables. Know the difference between discrete and continuous random variables. Be able to calculate the mean, variance, and standard deviation of a discrete random variable from its probability distribution. Be able to calculate the mean, variance, and standard deviation of a discrete random variable from its probability distribution. Etc. Etc.

Chapter 8 Sections 8.1 – 8.4. Sections 8.1 – 8.4. Know what is meant by a sampling distribution of a statistic. Know what is meant by a sampling distribution of a statistic. Be very familiar with the Central Limit Theorem for proportions, summarized on page 519. Be very familiar with the Central Limit Theorem for proportions, summarized on page 519. Be very familiar with the Central Limit Theorem for means, summarized on pages Be very familiar with the Central Limit Theorem for means, summarized on pages Be able to recognize problems that call for the Central Limit Theorem and be able to apply it. Be able to recognize problems that call for the Central Limit Theorem and be able to apply it.

Chapter 8 Understand what bias and variability mean for a random variable. Understand what bias and variability mean for a random variable. Etc. Etc.

Chapter 9 Sections 9.1 – 9.4. Sections 9.1 – 9.4. Know the sampling distribution of p ^. Know the sampling distribution of p ^. Know the criteria for when the sample size is large enough. Know the criteria for when the sample size is large enough. Be able to test a hypothesis concerning p. Be able to test a hypothesis concerning p. Be able to calculate a confidence interval for p. Be able to calculate a confidence interval for p. Know the 7 steps of hypothesis testing. Know the 7 steps of hypothesis testing. Etc. Etc.

Chapter 10 Sections 10.1 – Sections 10.1 – Know the sampling distribution of  x. Know the sampling distribution of  x. Know the criteria for when the sample size is large enough. Know the criteria for when the sample size is large enough. Know how to decide whether to use the normal distribution or the t distribution. Know how to decide whether to use the normal distribution or the t distribution. Be able to test a hypothesis concerning . Be able to test a hypothesis concerning . Be able to calculate a confidence interval for . Be able to calculate a confidence interval for .

Chapter 10 Be able to find p-values and percentiles for the t distribution. Be able to find p-values and percentiles for the t distribution. Know the 7 steps of hypothesis testing. Know the 7 steps of hypothesis testing. Etc. Etc.

Chapter 11 Sections 11.1 – Sections 11.1 – Know the difference between paired samples and independent samples. Know the difference between paired samples and independent samples. Be able to test a hypothesis concerning paired differences. Be able to test a hypothesis concerning paired differences. Be able to test a hypothesis concerning the difference between two population proportions. Be able to test a hypothesis concerning the difference between two population proportions. Be able to estimate the difference between two population proportions. Be able to estimate the difference between two population proportions.

Chapter 11 Know when and how to use a pooled estimate of p. Know when and how to use a pooled estimate of p. Be able to test a hypothesis concerning the difference between two population means. Be able to test a hypothesis concerning the difference between two population means. Be able to estimate the difference between two population means. Be able to estimate the difference between two population means. Know the criteria in all cases for using the normal distribution vs. the t distribution. Know the criteria in all cases for using the normal distribution vs. the t distribution.

Chapter 11 Know when and how to use a pooled estimate of . Know when and how to use a pooled estimate of . Etc. Etc.

Chapter 13 Sections 13.1 – 13.3, 13.7, Sections 13.1 – 13.3, 13.7, Be able to draw a scatterplot of bivariate data. Be able to draw a scatterplot of bivariate data. Be familiar with the important characteristics: Be familiar with the important characteristics: Linear association. Linear association. Positive or negative association. Positive or negative association. The strength of the association. The strength of the association. Know exactly what distinguishes the least squares regression line from all other lines. Know exactly what distinguishes the least squares regression line from all other lines.

Chapter 13 Be able to calculate the following: Be able to calculate the following: The coefficients a and b of the regression line. The coefficients a and b of the regression line. The residuals. The residuals. The predicted value of y, for a given value of x. The predicted value of y, for a given value of x. The residual sum of squares, SSE. The residual sum of squares, SSE. The regression sum of squares, SSR. The regression sum of squares, SSR. The total sum of squares, SST. The total sum of squares, SST. The correlation coefficient r. The correlation coefficient r. The coefficient of determination r 2. The coefficient of determination r 2.

Chapter 13 Be able to interpret the correlation coefficient. Be able to interpret the correlation coefficient. Be able to interpret the coefficient of determination. Be able to interpret the coefficient of determination. Be able to interpret the slope of the regression line. Be able to interpret the slope of the regression line. Etc. Etc.

Chapter 14 Sections 14.1 – Sections 14.1 – Be able to find chi-square probabilities and percentiles. Be able to find chi-square probabilities and percentiles. Be able to perform hypothesis tests for Be able to perform hypothesis tests for Goodness of fit (univariate data) Goodness of fit (univariate data) Homogeneity (bivariate data) Homogeneity (bivariate data) Independence (bivariate data) Independence (bivariate data) In all cases, be able to find the expected counts. In all cases, be able to find the expected counts. Etc. Etc.

The TI-83 Most of the calculations in Chapters 1 – 10 can be done on the TI-83. Most of the calculations in Chapters 1 – 10 can be done on the TI-83. You should be able to do them both on the TI- 83 and by hand. You should be able to do them both on the TI- 83 and by hand. Most of the calculations in Chapters 11, 13, and 14 can be done on the TI-83. Most of the calculations in Chapters 11, 13, and 14 can be done on the TI-83. Anything that can be done on the TI-83 in Chapters , you do not need to be able to do by hand. Anything that can be done on the TI-83 in Chapters , you do not need to be able to do by hand.

Formulas You should know the necessary formulas from Chapters 1 – 10 and some miscellaneous formulas from Chapters 11 – 14. You should know the necessary formulas from Chapters 1 – 10 and some miscellaneous formulas from Chapters 11 – 14. The formulas that you do not need to know are listed on the Statistical Formulas sheet. The formulas that you do not need to know are listed on the Statistical Formulas sheet.Statistical FormulasStatistical Formulas The standard normal table, the t tables, and the chi square tables will be provided. The standard normal table, the t tables, and the chi square tables will be provided.