## Foundations of StatisticsThis text provides a through, straightforward first course on basics statistics. Emphasizing the application of theory, it contains 200 fully worked examples and supplies exercises in each chapter-complete with hints and answers. |

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### Contents

Measures of location | 15 |

Measures of dispersion and skewness | 33 |

Basic ideas of probability | 55 |

Random variables and their probability distributions | 94 |

variable | 109 |

Some standard discrete and continuous probability distributions | 131 |

Interval estimation | 244 |

parameters | 260 |

Elements of experimental design and analysis | 424 |

Information on projects in statistics at Alevel | 467 |

Appendix B Glossary of notation | 511 |

l Cumulative binomial probabilities | 517 |

4 Upper percentage points for the t distribution | 523 |

7 Values of T for the Wilcoxon signed rank test | 529 |

8 Values of U for the MannWhitney U test | 536 |

537 | |

### Common terms and phrases

A-level alternative hypothesis answer assuming assumptions balls batch binomial distribution Chapter completely randomized design components confidence interval continuous random variable control chart correlation coefficient critical region critical value cumulative frequency degrees of freedom discrete random variable distribution with mean drug equal equation estimator of a2 Example Find the probability formula frequency distribution given Hence histogram hypothesis test independent inter-quartile range level of significance machine mean and standard mean and variance mean number median method mutually exclusive normal approximation normally distributed null hypothesis observations obtained outcomes pairs parameter plot Poisson distribution population probability density function probability distribution probability function random sample ranks regression line reject H0 sample data sample mean scatter diagram scores Section Show significance level significantly different skewness standard deviation Suppose test statistic Test the hypothesis tosses treatments trials unbiased estimator variance a2 WJEC