Radnor High School



Radnor High School

Course Syllabus

AP Statistics

0470

|I. Course Description |

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|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 |

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|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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