Exercises for Section 2 42 Physical sciences and engineering 42 43 Biological sciences 45 Social sciences Solutions to Exercises, Section 1 47 Physical sciences and engineering 47 49 Biological sciences 49 Social sciences Solutions to Exercises, Section 2 51 51 PhYSical sciences and engineering 55 Biological sciences 58 Social sciences 62 Tables 2 62 x - tests involving variances 2 63,64 x - one tailed tests 2 65 x - two tailed tests F-distribution 66-69 Preface This project started some years ago when the Nuffield Foundation kindly gave a grant for writing a pro­ grammed text to use with service courses in statistics. The work carried out by Mrs. Joan Hine and Professor G. B. Wetherill at Bath University, together with some other help from time to time by colleagues at Bath University and elsewhere. Testing was done at various colleges and universities, and some helpful comments were received, but we particularly mention King Edwards School, Bath, who provided some sixth formers as 'guinea pigs' for the first testing, the Bishop Lonsdale College of Education, and Bradford University. 2 OUf objectives in the text are to take students to the use of standard t, F and X tests, with some introduction to regression, assuming no knowledge of statistics to start, and to do this in such a way that students attain some degree of understanding of the underlying reasoning. Service courses are often something of a problem to statistics departments.