ReviewReview

Lecture 51Lecture 51

Tue, Dec 13, 2005Tue, Dec 13, 2005

Chapter 1Chapter 1

Sections 1.1 – 1.4.Sections 1.1 – 1.4. Be familiar with the language and Be familiar with the language and

principles of hypothesis testing.principles of hypothesis testing. Given two explicit hypotheses, be Given two explicit hypotheses, be

able to calculate able to calculate and and .. Given a value of the “test statistic,” Given a value of the “test statistic,”

be able to calculate the be able to calculate the pp-value.-value. Etc.Etc.

Chapter 2Chapter 2

Sections 2.1 – 2.8.Sections 2.1 – 2.8. Know the characteristics of the Know the characteristics of the

different sampling methods:different sampling methods: Simple random samplingSimple random sampling Stratified samplingStratified sampling Systematic samplingSystematic sampling Cluster sampling.Cluster sampling.

Chapter 2Chapter 2

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

Etc.Etc.

Chapter 3Chapter 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 A prospective study and a retrospective

study.study. Be able to distinguish among explanatory, Be able to distinguish among explanatory,

response, and confounding variables.response, and confounding variables. Be familiar with some methods of Be familiar with some methods of

minimizing bias.minimizing bias. Etc.Etc.

Chapter 4Chapter 4

Sections 4.1 – 4.3.2, 4.4.1 – 4.4.2, Sections 4.1 – 4.3.2, 4.4.1 – 4.4.2, 4.4.4, 4.5.4.4.4, 4.5.

Be able to draw correctlyBe able to draw correctly Pie chartsPie charts Bar graphsBar graphs Stem-and-leaf displaysStem-and-leaf displays Frequency plotsFrequency plots HistogramsHistograms

Know which ones are appropriate for Know which ones are appropriate for which kinds of data.which kinds of data.

Chapter 4Chapter 4

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

Etc.Etc.

Chapter 5Chapter 5

Sections 5.1 – 5.3.Sections 5.1 – 5.3. Measures of center:Measures of center:

MeanMean MedianMedian ModeMode

Measures of variationMeasures of variation RangeRange Interquartile rangeInterquartile range

Chapter 5Chapter 5

VarianceVariance Standard deviationStandard deviation

Be able to draw a boxplot.Be able to draw a boxplot. Etc.Etc.

Chapter 6Chapter 6

Sections 6.1 – 6.4.Sections 6.1 – 6.4. Be able to find a probability or Be able to find a probability or

percentile associated with a normal percentile associated with a normal distribution.distribution.

Be able to find a probability or Be able to find a probability or percentile associated with a uniform percentile associated with a uniform distribution.distribution.

Know and be able to apply the 68-95-Know and be able to apply the 68-95-99.7 Rule.99.7 Rule.

Chapter 6Chapter 6

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

Etc.Etc.

Chapter 7Chapter 7

Section 7.5 – 7.5.1, 7.5.3.Section 7.5 – 7.5.1, 7.5.3. Know what a random variable is.Know what a random variable is. Know the difference between discrete Know the difference between discrete

and continuous random variables.and continuous random variables. Be able to calculate the mean, variance, Be able to calculate the mean, variance,

and standard deviation of a discrete and standard deviation of a discrete random variable from its probability random variable from its probability distribution.distribution.

Etc.Etc.

Chapter 8Chapter 8 Sections 8.1 – 8.4.Sections 8.1 – 8.4. Know what is meant by a sampling Know what is meant by a sampling

distribution of a statistic.distribution of a statistic. Be Be veryvery familiar with the Central Limit familiar with the Central Limit

Theorem for proportions, summarized on Theorem for proportions, summarized on page 519.page 519.

Be Be veryvery familiar with the Central Limit familiar with the Central Limit Theorem for means, summarized on pages Theorem for means, summarized on pages 536 - 537.536 - 537.

Be able to recognize problems that call for the Be able to recognize problems that call for the Central Limit Theorem and be able to apply it.Central Limit Theorem and be able to apply it.

Chapter 8Chapter 8

Understand what bias and variability Understand what bias and variability mean for a random variable.mean for a random variable.

Etc.Etc.

Chapter 9Chapter 9 Sections 9.1 – 9.4.Sections 9.1 – 9.4. Know the sampling distribution of Know the sampling distribution of pp^̂.. Know the criteria for when the sample Know the criteria for when the sample

size is large enough.size is large enough. Be able to test a hypothesis concerning Be able to test a hypothesis concerning pp..

Be able to calculate a confidence Be able to calculate a confidence interval for interval for pp..

Know the 7 steps of hypothesis testing.Know the 7 steps of hypothesis testing. Etc.Etc.

Chapter 10Chapter 10

Sections 10.1 – 10.4.Sections 10.1 – 10.4. Know the sampling distribution ofKnow the sampling distribution ofxx.. Know the criteria for when the sample Know the criteria for when the sample

size is large enough.size is large enough. Know how to decide whether to use the Know how to decide whether to use the

normal distribution or the normal distribution or the tt distribution. distribution. Be able to test a hypothesis concerningBe able to test a hypothesis concerning.. Be able to calculate a confidence interval Be able to calculate a confidence interval

for for ..

Chapter 10Chapter 10

Be able to find Be able to find pp-values and -values and percentiles for the percentiles for the tt distribution. distribution.

Know the 7 steps of hypothesis Know the 7 steps of hypothesis testing.testing.

Etc.Etc.

Chapter 11Chapter 11

Sections 11.1 – 11.5.Sections 11.1 – 11.5. Know the difference between paired Know the difference between paired

samples and independent samples.samples and independent samples. Be able to test a hypothesis Be able to test a hypothesis

concerning paired differences.concerning paired differences. Be able to test a hypothesis Be able to test a hypothesis

concerning the difference between concerning the difference between two population proportions.two population proportions.

Be able to estimate the difference Be able to estimate the difference between two population proportions.between two population proportions.

Chapter 11Chapter 11

Know when and how to use a pooled Know when and how to use a pooled estimate of estimate of pp..

Be able to test a hypothesis concerning Be able to test a hypothesis concerning the difference between two population the difference between two population means.means.

Be able to estimate the difference Be able to estimate the difference between two population means.between two population means.

Know the criteria in all cases for using Know the criteria in all cases for using the normal distribution vs. the the normal distribution vs. the tt distribution.distribution.

Chapter 11Chapter 11

Know when and how to use a pooled Know when and how to use a pooled estimate of estimate of ..

Etc.Etc.

Chapter 13Chapter 13

Sections 13.1 – 13.3, 13.7, 13.9.Sections 13.1 – 13.3, 13.7, 13.9. Be able to draw a scatterplot of bivariate Be able to draw a scatterplot of bivariate

data.data. Be familiar with the important Be familiar with the important

characteristics: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 Know exactly what distinguishes the least squares regression line from all other lines.squares regression line from all other lines.

Chapter 13Chapter 13 Be able to calculate the following:Be able to calculate the following:

The coefficients The coefficients aa and and bb of the regression of the regression line.line.

The residuals.The residuals. The predicted value of The predicted value of yy, for a given value of , for a given value of xx..

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 The correlation coefficient rr.. The coefficient of determination The coefficient of determination rr22..

Chapter 13Chapter 13

Be able to interpret the correlation Be able to interpret the correlation coefficient.coefficient.

Be able to interpret the coefficient of Be able to interpret the coefficient of determination.determination.

Be able to interpret the slope of the Be able to interpret the slope of the regression line.regression line.

Etc.Etc.

Chapter 14Chapter 14 Sections 14.1 – 14.5.Sections 14.1 – 14.5. Be able to find chi-square probabilities Be able to find chi-square probabilities

and percentiles.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 In all cases, be able to find the expected counts.counts.

Etc.Etc.

The TI-83The TI-83

Most of the calculations in Chapters 1 Most of the calculations in Chapters 1 – 10 can be done on the TI-83.– 10 can be done on the TI-83.

You should be able to do them You should be able to do them bothboth on the TI-83 and by hand.on the TI-83 and by hand.

Most of the calculations in Chapters Most of the calculations in Chapters 11, 13, and 14 can be done on the TI-11, 13, and 14 can be done on the TI-83.83.

Anything that can be done on the TI-Anything that can be done on the TI-83 in Chapters 11 - 14, you do not 83 in Chapters 11 - 14, you do not need to be able to do by hand.need to be able to do by hand.

FormulasFormulas

You should know the necessary formulas You should know the necessary formulas from Chapters 1 – 10 and some from Chapters 1 – 10 and some miscellaneous formulas from Chapters miscellaneous formulas from Chapters 11 – 14.11 – 14.

The formulas that you do not need to The formulas that you do not need to know are listed on the know are listed on the Statistical FormulasStatistical Formulas sheet. sheet.

The standard normal table, the The standard normal table, the tt tables, tables, and the chi square tables will be and the chi square tables will be provided.provided.