Radnor High School
Radnor High School
Course Syllabus
AP Statistics
0470
|I. Course Description |
| |
|AP Statistics introduces students to the major concepts and tools for collecting, analyzing and drawing conclusions from data and exposes them|
|to four broad concepts: exploring data for patterns and departures from patterns, sampling and experimentation in planning and conducting a |
|study, anticipating patterns while exploring random phenomena using probability and simulation, and statistical inference - estimating |
|population parameters and testing hypotheses. Students who successfully complete this course and the College Board AP Statistics examination |
|may receive advanced credit for one semester of introductory college statistics. A graphing calculator is required. |
|II. Materials & Equipment |
|Introduction to the Practice of Statistics, Third Edition, Moore and McCabe – W.H. Freeman and Co. |
|TI-83, TI-83 Plus or TI-84 Plus graphing calculator |
|Minitab statistical software (available in two computer labs) |
|Video series: Statistics – Decisions Through Data (25 fifteen minutes videos covering specific topics within the course) |
|Supplemental video series Against All Odds: Inside Statistics, The Annenberg/CPB Collection, housed in the RHS library |
|III. Course Goals & Objectives |
• Prepare students to take the AP Statistics examination.
• Introduce students to technological methods of data analysis.
• Develop the students’ ability to collect, summarize, analyze and communicate their ideas through projects and data investigations.
• Conclude a solution process with a summary of results and evaluate the degree to which the results obtained represent an acceptable response to the initial problem and why the reasoning is valid.
IV. Course Topics (Summary Outline)
A. UNIVARIATE DATA
Describing Distributions with Graphs
Graphs for categorical variables – bar charts, pie charts, Pareto graphs
Examining distributions – stemplots, histograms, timeplots
Beyond the basics – decomposing time series
Describing Distributions with Numbers
Measures of center – the mean and the median
Measures of spread – standard deviation; the quartiles, interquartile range, five number summary and boxplots
Choosing the correct measure of center and spread; linear transformations
The Normal Distribution
The 68-95-99.7 rule (The Empirical Rule)
The standard normal distribution; the area under the curve using Z scores
Normal quantile plots; using normality to check for outliers
B. BIVARIATE DATA
Scatterplots; Correlation
Interpreting scatterplots; adding categorical variables to scatterplots
Correlation coefficient, r; properties of the correlation coefficient
Least Squares Regression
Fitting a line to data; least square regression; interpreting the regression line; prediction
Correlation and regression; r2
Residuals
Residuals; regression diagnostics; lurking variables; outliers and influential observations
Exponential Growth and Logarithmic Transformations
The logarithm transformation; the use of residuals; prediction in the exponential growth model
Sampling Distribution of a Sample Mean
Mean and standard deviation of X bar
Sampling distribution of X bar
The Central Limit Theorem
F. INTRODUCTION TO INFERENCE
Confidence Intervals
Confidence interval for a population mean
How confidence intervals behave
Choosing the sample size
Tests of Significance, Large Sample
Hypothesis testing; stating hypotheses, test statistics, p-values, statistical significance
Tests for a population mean
Two sided versus one sided tests and confidence intervals
P-values versus fixed alpha values; alpha error (Type I error)
Power and the Beta Error (Type II)
Power calculation
Increasing power and decreasing beta error
G. ONE AND TWO SAMPLE TESTING; SMALL AND LARGE SAMPLES
The Student T Distribution
The t distributions; degrees of freedom; sample standard deviation; robustness of the t distribution
One sample t confidence interval
One sample t test; matched pair
Comparison of Two Means
Two sample z confidence interval and test statistics for large samples
Two sample t confidence intervals and test statistics for small samples
H. INFERENCE FOR PROPORTIONS
Inference for One and Two Proportions
Confidence Intervals and significance tests for one and two proportion Z tests
Confidence intervals provide additional information
Choosing a sample size
I. CHI SQUARE
Goodness of Fit
The chi square distribution; degrees of freedom
Significance testing for goodness of fit
Homogeneity and Independence
Significance testing for independence using matrices; p-value, statistical significance
The chi-square test and the z test
J. INFERENCE FOR REGRESSION*
Simple Linear Regression*
Statistical model for linear regression
Estimating the regression parameters
Confidence intervals and significance tests
|V. Assignments & Grading |
| |
|Assignment sheets will be distributed periodically throughout the school year. Homework will be assigned on a daily basis. Grades will be|
|based on quizzes and tests; in addition, teachers may use homework, group activities and/or projects for grading purposes. All students |
|will take departmental midyear and final examinations. The Radnor High School grading system and scale will be used to determine letter |
|grades. |
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