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Edexcel AS and A level Further Mathematics Further Statistics 2 Textbook

Edexcel AS and A level Further Mathematics Further Statistics 2 Textbook

Greg Attwood | Ian Bettison | Alan Clegg | Gill Dyer | Jane Dyer

(2018)

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Book Details

Abstract

Edexcel AS and A level Further Mathematics Further Statistics 2 Textbook

Table of Contents

Section Title Page Action Price
Front Cover Front Cover
Contents iii
Overarching themes iv
Extra online content vi
Chapter 1: Linear regression 1
1.1: Least squares linear regression 2
1.2: Residuals 10
Mixed exercise: 1 16
Chapter 2: Correlation 21
2.1: The product moment correlation coefficient 22
2.2: Spearman’s rank correlation coefficient 26
2.3: Hypothesis testing for zero correlation 33
Mixed exercise: 2 38
Chapter 3: Continuous distributions 44
3.1: Continuous random variables 45
3.2: The cumulative distribution function 51
3.3: Mean and variance of a continuous distribution 56
3.4: Mode, median, percentiles and skewness 63
3.5: The continuous uniform distribution 71
3.6: Modelling with the continuous uniform distribution 79
Mixed exercise: 3 82
Chapter 4: Combinations ofrandom variables 92
4.1: Combinations of random variables 93
Review exercise: 1 99
Chapter 5: Estimation, confidence intervals and tests usinga normal distribution 109
5.1: Estimators, bias and standard error 110
5.2: Confidence intervals 120
5.3: Hypothesis testing for the difference between means 127
5.4: Use of large sample results for an unknown population 132
Mixed exercise: 5 135
Chapter 6: Further hypothesis tests 141
6.1: Variance of a normal distribution 142
6.2: Hypothesis testing for the variance of a normal distribution 146
6.3: The F-distribution 149
6.4: The F-test 155
Mixed exercise: 6 159
Chapter 7: Confidence intervals and tests using the t-distribution 163
7.1: Mean of a normal distribution with unknown variance 164
7.2: Hypothesis test for the mean of a normal distribution with unknown variance 170
7.3: The paired t-test 174
7.4: Difference between means of two independent normal distributions 180
7.5: Hypothesis test for the difference between means 185
Mixed exercise: 7 189
Review exercise: 2 196
Exam-style practice paper (AS level) 204
Exam-style practice paper (A level) 206
Appendix 209
Binomial cumulative distribution function 209
Percentage points of the normal distribution 214
Percentage points of the χ2 distribution 215
Critical values for correlation coefficients 216
Percentage points of Student’s t-distribution 217
Percentage points of the F-distribution 218
Poisson cumulative distribution function 219
Formulae 220
Answers 225
Index 256
Back Cover Back Cover