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How to Prepare for the Advanced Placement Test AP Statistics

ISBN-10: 0764102214

ISBN-13: 9780764102219

Edition: N/A

Authors: Martin Sternstein

List price: $14.95
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Description:

This all-new prep manual reflects the growing trend in statistics courses taken by high school students preparing for college. Recommended as a supplement to classroom textbooks or as a self-teaching preparation, this guide offers 545 practice questions and solutions, including five full-length practice exams. Topics reviewed include graphical displays, distributions, bivariate data, and more.
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Book details

List price: $14.95
Publisher: Barron's Educational Series, Incorporated
Binding: Paperback
Pages: 500
Size: 7.81" wide x 10.87" long
Weight: 1.408
Language: English

Author's Note
Introduction
Exploratory Analysis
Graphical Displays
Dotplots
Bar charts
Histograms
Stemplots
Center and spread
Clusters and gaps
Outliers
Shape
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Summarizing Distributions
Measuring the center
Median and mean
Measuring spread: range, interquartile range, variance, and standard deviation
Measuring position: simple ranking, percentile ranking, and z-score
Empirical rule
Histograms and measures of central tendency
Histograms, z-scores, and percentile rankings
Boxplots
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Comparing Distributions
Dotplots
Double bar charts
Back-to-back stemplots
Parallel boxplots
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Exploring Bivariate Data
Scatterplots
Correlation and linearity
Least squares regression line
Residual plots, outliers, and influential points
Transformations to achieve linearity
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Exploring Categorical Data: Frequency Tables
Marginal frequencies for two-way tables
Conditional relative frequencies and association
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Planning a Study
Overview of Methods of Data Collection
Census
Sample survey
Experiment
Observational study
Multiple-Choice Questions and Answers
Planning and Conducting Surveys
Simple random sampling
Characteristics of a well-designed, well-conducted survey
Sampling error: the variation inherent in a survey
Sources of bias in surveys
Stratifying to reduce variation
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Planning and Conducting Experiments
Experiments versus observational studies versus surveys
Confounding, control groups, placebo effects, and blinding
Treatments, experimental units, and randomization
Completely randomized design for two treatments
Randomized paired comparison design
Replication, blocking, and generalizability of results
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Probability
Probability as Relative Frequency
The law of large numbers
Addition rule, multiplication rule, conditional probabilities, and independence
Multistage probability calculations
Discrete random variables and their probability distributions
Simulation of probability distributions, including binomial and geometric
Mean (expected value) and standard deviation of a random variable, including binomial
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Combining Independent Random Variables
Independence versus dependence
Mean and standard deviation for sums and differences of independent random variables
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
The Normal Distribution
Properties of the normal distribution
Using tables of the normal distribution
The normal distribution as a model for measurement
Commonly used probabilities and z-scores
Finding means and standard deviations
Normal approximation to the binomial
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Sampling Distributions
Sampling distribution of a sample proportion
Sampling distribution of a sample mean
Central limit theorem
Sampling distribution of a difference between two independent sample proportions
Sampling distribution of a difference between two independent sample means
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Statistical Inference
Confidence Intervals
The meaning of a confidence interval
Large sample confidence interval for a proportion
Large sample confidence interval for a mean
Large sample confidence interval for a difference of two proportions
Large sample confidence interval for a difference between two means
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Tests of Significance
Logic of significance testing, null and alternative hypotheses, P-values, and one- and two-sided tests
Large sample test for a proportion
Large sample test for a mean
Large sample test for a difference between two proportions
Large sample test for a difference between two means (unpaired and paired)
Chi-square test for goodness of fit
Chi-square test for independence
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Special Case of Normally Distributed Data
t-distribution
Single sample t-procedures
Two sample t-procedures
Inference for slope of least squares line
Multiple-Choice Questions and Answers
Free-Response Questions and Answers
Practice Examinations
Practice Examination 1
Answers to Practice Examination 1
Practice Examination 2
Answers to Practice Examination 2
Practice Examination 3
Answers to Practice Examination 3
Practice Examination 4
Answers to Practice Examination 4
Practice Examination 5
Answers to Practice Examination 5
Appendix
Formulas
Standard Normal Probabilities
t-distribution Critical Values
X[superscript 2] Critical Values
Random Number Table
Index