Statistics : Problems and Solutions

by Bassett, E. E.; Bremner, J. M.; Morgan, B. J. T.; Jolliffe, I. T.; Jones, B.; North, P. M.; Bassett, E. E.

• ISBN13: 9789810242930
• ISBN10: 981024293X
• Edition: 2nd
• Format: Hardcover
• Copyright: 2000-06-01
• Publisher: WORLD SCIENTIFIC PUB CO INC

Summary

Contents include probability and random variables, probability distributions, data summarization and goodness-of-fit, inference, analysis of structured data, and more. Previous edition: c1986.

Table of Contents

Preface	v
Probability and Random Variables	1	(46)
Probability	1	(24)
The wellington boots	2	(2)
Dealing four cards	4	(3)
The school assembly	7	(3)
The second card	10	(1)
A birthday coincidence	10	(4)
Winning at craps	14	(2)
The fisherman	16	(2)
Testing lightbulbs	18	(1)
Designing a navigation system	19	(1)
The sports club	20	(4)
Playing the fruit machine	24	(1)
Random Variables	25	(22)
The highest score in a dice game	26	(1)
The total score from two dice	27	(3)
Selecting balls from an urn	30	(2)
The game of darts	32	(3)
The randomised response experiment	35	(1)
Finding a probability density function	36	(1)
Positioning the pointer	37	(2)
Finding the mode and median of a distribution	39	(2)
Buffon's needle	41	(2)
Transforming a random variable	43	(2)
Length of a chord of a circle	45	(2)
Probability Distributions	47	(48)
Discrete Distributions	47	(23)
The squash match	48	(1)
Sampling incoming batches	49	(2)
Sampling for defective items	51	(1)
The music recital	52	(2)
Marking a multiple-choice test	54	(1)
The insect breeding experiment	55	(2)
The telephone exchange	57	(2)
Random sultanas in scones	59	(2)
Relationship between binomial and Poisson distributions	61	(2)
Tossing a coin until `heads' appears	63	(2)
Estimating the size of a fish population	65	(2)
Collecting cigarette cards	67	(3)
Continuous Distributions	70	(18)
The slippery pole	70	(1)
Mixing batches of pesticide	71	(1)
Tolerances for metal cylinders	72	(2)
The number of matches in a box	74	(1)
Fitting plungers into holes	75	(2)
Bird wingspans	77	(1)
Distributions related to the Normal	78	(1)
Failures of belt drives	79	(2)
Guaranteed life of a machine	81	(1)
Watch the birdie	82	(3)
Breaking a rod at random	85	(3)
Simulating Random Variables	88	(7)
Simulating random variables	88	(2)
Using dice to obtain random numbers	90	(2)
Ants on flower heads	92	(3)
Data Summarisation and Goodness-of-Fit	95	(25)
Data Summarisation	95	(10)
The weights of club members	96	(4)
Histogram for catches of fish	100	(2)
Distribution of examination marks	102	(1)
Consumption of cigarettes	103	(2)
Goodness-of-Fit	105	(15)
Numbers of sixes in dice throws	106	(1)
The occurrences of thunderstorms	107	(3)
The distribution of I.Q.	110	(3)
Frontal breadths of skulls	113	(2)
Rotating bends	115	(2)
Distribution of accidents in a factory	117	(3)
Inference	120	(56)
One Sample: Normal Distribution	120	(10)
Lengths of manufactured bolts	121	(2)
Lifetimes of electrical components	123	(2)
The diameters of marbles	125	(1)
Variability in weight of bottled fruit	126	(1)
Changes in weight of manufactured product	127	(2)
Estimating the mean and variance	129	(1)
Two Samples: Normal Distribution	130	(15)
Weights of tins of peas	130	(4)
Experimental teaching of arithmetic	134	(2)
Milk yield of cows	136	(3)
Speeding up mathematical tasks	139	(2)
Peeling potatoes faster	141	(2)
Estimating a ratio	143	(2)
Binomial and Poisson Distributions	145	(13)
The pink and white flowers	145	(1)
Distinguishing between brands of cheese	146	(1)
Women investors in building societies	147	(3)
Are telephone numbers random?	150	(1)
Smoking in public places	151	(1)
Smoking habits of history and statistics teachers	152	(3)
Ignition problems in cars	155	(1)
Modifying an accident black spot	156	(2)
Other Problems	158	(18)
Sampling bags of apples	158	(2)
Two discrete random variables	160	(3)
Mean square error of estimators	163	(1)
Arrivals at a petrol station	164	(3)
Confidence intervals for an exponential distribution	167	(2)
Glue sniffers	169	(3)
Quality control for bolts	172	(2)
A control chart for mass-produced articles	174	(2)
Analysis of Structured Data	176	(41)
Regression and Correlation	176	(18)
The numbers of pensioners	177	(4)
Graduate unemployment	181	(2)
Regression for several sets of data	183	(3)
Inflation, money supply and dysentery	186	(2)
Correlation between height and weight	188	(2)
Judging a beauty contest	190	(4)
Analysis of Variance	194	(8)
Relationship between quality and temperature	194	(2)
The rubber content of guayule plants	196	(3)
The quality of electronic components	199	(3)
Contingency Tables	202	(8)
The value of rainfall forecasts	202	(1)
A survey of exercise habits	203	(2)
Sex ratios of insects	205	(5)
Time Series	210	(7)
The electricity consumption of a Canadian household	210	(3)
Turning points in a time series	213	(4)
Index	217