Statistics Syllabus

Coach Martin

2010-2011

Sonoraville High School

Based on The Practice of Statistics by Yates, Moore, Starnes, 2nd Ed, 2003

 

Chapter Title

Concepts

Chapter 1: Exploring Data

 

 

Choosing appropriate graphs and describing distributions with numbers

Chapter 2: The Normal Distribution

 

 

Introduces the normal distribution and the concept of density curves. Means and standard deviations. Calculations based on the normal distribution.

Chapter 3: Examining Relationships

 

 

Scatterplots, correlation, and least squares regression for data that is approximately linear.

Chapter 4: More on Two-Variable Data

 

 

Transforming exponential and power relationships to linear. Cautions about correlation and regression. Categorical data.

Chapter 5: Producing Data

 

 

Designing samples. Designing and simulating experiments.

Chapter 6: Probability: The Study of Randomness

 

 

Introduction to probability. Calculations using probability rules.

Chapter 7: Random Variables

 

 

Discrete and continuous random variables. Calculating means and variances of random variables.

Chapter 8: The Binomial and Geometric Distributions

 

 

Binomial and geometric distributions

Chapter 9: Sampling Distributions

 

 

Introduction to the central limit theorem. Sampling distributions, sample proportions and sample means.

Chapter 10: Introduction to Inference

 

 

Introduction to confidence intervals and tests of significance. Decisions based on confidence intervals and tests. Significant and practical results.

Chapter 11: Inference for Distributions

 

 

Inference based on means, one and two samples.

Chapter 12: Inference for Proportions

 

 

Inference based on one and two proportions.

Chapter 13: Inference for Tables: Chi-Square Procedures

 

 

Multinomial experiments (Goodness of Fit).

Tests for independence using two-way tables.

Chapter 14: Inference for Regression

 

 

Inference for linear models. Predictions and conditions.

Review Unit