# Book:H.T. Hayslett, MS/Statistics Made Simple/Third Edition

## H.T. Hayslett, MS: Statistics Made Simple (3rd Edition)

Published $\text {1974}$, Heinemann

ISBN 434 98474 4.

### Contents

Foreword
$1$ What is Statistics?
The Present Importance of Statistics
Two Kinds of Statistics
$2$ Pictorial Description of Data
Introduction
Selecting a Random Sample
Classification of Data
Frequency Distributions and Cumulative Frequency Distributions
Graphical Representation of Data
Histogram
Frequency Polygon
Ogive
Exercises
$3$ Measures of Location
Introduction
The Mid-range
The Mode
The Median
The Arithmetic Mean
The Median of Classified Data
Summation of Notation
The Mean of Classified Data
Exercises
$4$ Measures of Variation
Introduction
The Range
The Mean Absolute Deviation
The Variance and the Standard Deviation
The Variance and Standard Deviation of Classified Data
Exercises
$5$ Elementary Probability and the Binomial Distribution
Introduction
Probabilities of Simple Events
Probabilities of Two Events
Probabilities for Combinations of Three or More Events
Permutations
Fundamental Principle
Combinations
More Probability
The Binomial Distribution
The Theoretical Mean of the Binomial Distribution
The Theoretical Variance of the Binomial Distribution
Exercises
$6$ The Normal Distribution
Introduction
The Normal Distribution
Use of Standard Normal Tables
More Normal Probabilities
The Normal Approximation to the Binomial
Theorem
Exercises
$7$ Some Tests of a Statistical Hypothesis
Introduction
The Nature of a Statistical Hypothesis -- Two Types of Error
Test of $H_0: \pi = \pi_0$ versus a Specified Alternative
Tests about the Mean of a Normal Distribution
Exercises
$8$ More Tests of Hypotheses
Introduction
Test of $H_0: \mu = \mu_0$, Normal Population, $\sigma^2$ Unknown
Tests about the Mean of a Non-normal Population
Tests about the Difference of Two Proportions
Tests about the Difference of Tow Means
Exercises
$9$ Correlation and Regression
The Sample Correlation Coefficient]
Computation of $r$
Testing Hypotheses about the Population Correlation Coefficient
Linear Regression
Finding the Regression (Least-squares) Line
Testing Hypotheses about $\mu$ in a Regression Problem
Testing Hypotheses about $\beta$ in a Regression Problem
Exercises
$10$ Confidence Limits
Introduction
A Note in Inequalities
Confidence Intervals for $\mu$
Confidence Interval for $\pi$
Confidence Interval for $\mu_1 - \mu_2$
Confidence Interval for $\pi_1 - \pi_2$
Confidence Interval for $\rho$
Exercises
$11$ Non-Parametric Statistics
Introduction
The Chi-squared Distribution
Contingency Tables
The Rank-correlation Coefficient
The Sign Test (One Population)
The Wilcoxon Signed-rank Test
The Rank-sum Test (Two Populations)
Exercises
$12$ The Analysis of Variance
Introduction
One-way Analysis of Variance
One-way Analysis of Variance -- Another Approach
One-way Analysis of Variance, Different Sample Sizes
Two-way Analysis of Variance
Exercises
Appendix
List of Selected Symbols
Tables
$t$_Distribution
Squares
Square Roots
Area of the Standard Normal Distribution
$\chi^2$-Distribution
Fisher-$z$ Values
Spearman Rank-correlation Coefficient
Wilcoxon Signed-rank Values
Rank-sum Critical Values
$F$-Distribution