Additional Information
Book Details
Abstract
Edexcel's own course for the new GCE specification. Providing the best match to the specification, this book motivates students by making maths easier to learn. Written by chief examiners, it provides student-friendly worked examples and solutions, leading to a wealth of practice questions, and sample past exam papers for thorough exam preparation. Regular review sections help to consolidate learning, and opportunities for stretch and challenge are presented throughout the course. An interactive FREE LiveText CD-ROM contains everything students need to motivate and prepare themselves. The all new Exam Cafe gives students revision advice, key ideas summaries and an abundance of exam practice, with hints and tips.
Table of Contents
| Section Title | Page | Action | Price |
|---|---|---|---|
| Cover | Cover | ||
| Contents | ii | ||
| About this book | iv | ||
| Chapter 1: Quality of tests and estimators | 1 | ||
| 1.1: Revision of the principles behind hypothesis testing | 2 | ||
| 1.2: Type I and type II errors | 2 | ||
| 1.3: Type I and type II errors and the normal distribution | 6 | ||
| 1.4: The size and power of a test | 10 | ||
| 1.5: The power function | 14 | ||
| 1.6: The quality of estimators | 18 | ||
| 1.7: Consistent estimators | 23 | ||
| Summary of key points | 30 | ||
| Chapter 2: One-sample procedures | 31 | ||
| 2.1: Student’s t-distribution | 32 | ||
| 2.2: Confidence interval for the mean of a normal distribution when the variance is unknown | 36 | ||
| 2.3: Hypothesis testing for the mean of a normal distribution with unknown variance | 38 | ||
| 2.4: The distribution of the variance of a sample taken from a normal distribution | 42 | ||
| 2.5: Confidence interval for the variance of a normal distribution | 43 | ||
| 2.6: Hypothesis test for the variance of a normal distribution | 46 | ||
| Summary of key points | 53 | ||
| Review Exercise 1 | 54 | ||
| Chapter 3: Two-sample procedures | 60 | ||
| 3.1: Using the F-distribution | 61 | ||
| 3.2: Using the F-distribution tables | 62 | ||
| 3.3: Testing whether two independent random samples are from normal populations with equal variance | 66 | ||
| 3.4: A pooled estimate of variance | 71 | ||
| 3.5: Confidence interval for the difference between two means from independent normal distributions with equal but unknown variances | 72 | ||
| 3.6: Carrying out a hypothesis test for the difference between the means of two independent normal distributions with unknown variances (two-sample t-test) | 76 | ||
| 3.7: Carrying out the paired t-test | 80 | ||
| Summary of key points | 88 | ||
| Review Exercise 2 | 89 | ||
| Examination style paper | 94 | ||
| Appendix | 97 | ||
| Answers | 112 | ||
| Index | 128 |