Higher Engineering Mathematics

562 STATISTICS AND PROBABILITY −0.56 (^0) z-value −0.56 (^0) z-value (a) (b) Figure 58.4 Since the standardized normal curve is ...

THE NORMAL DISTRIBUTION 563 J Now try the following exercise. Exercise 216 Further problems on the introduction to the normal di ...

564 STATISTICS AND PROBABILITY 30 32 34 36 38 40 42 0.01 0.05 0.1 0.2 0.5 1 2 5 10 20 30 40 50 60 70 80 90 95 98 99 99.8 99.9 99 ...

THE NORMAL DISTRIBUTION 565 J deviation is determined using the 84% and 16% cumulative frequency values, shown asQandR in Fig. 5 ...

566 STATISTICS AND PROBABILITY A frequency distribution of the class mid- point values of the breaking loads for 275 similar fi ...

J Statistics and probability 59 Linear correlation 59.1 Introduction to linear correlation Correlation is a measure of the amoun ...

568 STATISTICS AND PROBABILITY correlation,−1 indicates perfect inverse correlation and 0 indicates that no correlation exists. ...

LINEAR CORRELATION 569 J LetXbe the expenditure in thousands of pounds and Ybe the days lost. The coefficient of correlation, r= ...

570 STATISTICS AND PROBABILITY The coefficient of correlation, r= ∑ xy √{(∑ x^2 )(∑ y^2 )} = 613. 4 √ {(616.7)(1372.7)} = 0. 667 ...

J Statistics and probability 60 Linear regression 60.1 Introduction to linear regression Regression analysis, usually termedregr ...

572 STATISTICS AND PROBABILITY are of the regression line ofXonY, which is slightly different to the regression line ofYonX. The ...

LINEAR REGRESSION 573 J Substitutinga 1 = 0 .586 in equation (1) gives: 855 = 7 a 0 +1400(0.586) i.e. a 0 = 855 − 820. 4 7 = 4. ...

574 STATISTICS AND PROBABILITY (78.4, 50) and (247.4, 150), shown as pointsCand Din Fig. 60.2. It can be seen from Fig. 60.2 tha ...

LINEAR REGRESSION 575 J Now try the following exercise. Exercise 219 Further problems on linear regression In Problems 1 and 2, ...

Assign-16-H8152.tex 23/6/2006 15: 15 Page 576 Statistics and probability Assignment 16 This assignment covers the material conta ...

J Statistics and probability 61 Sampling and estimation theories 61.1 Introduction The concepts of elementary sampling theory an ...

578 STATISTICS AND PROBABILITY mean values will also be small, since it depends on the distance of the mean values from the dist ...

SAMPLING AND ESTIMATION THEORIES 579 J is 5 and also that the mean of the sampling distribu- tion of means,μxis 5. This result i ...

580 STATISTICS AND PROBABILITY given by σx= σ √ N √( Np−N Np− 1 ) In addition, the sample distribution would have been approxima ...

SAMPLING AND ESTIMATION THEORIES 581 J and (b) without replacement, correct to three significant figures. ⎡ ⎢ ⎣ (a) μx= 1 .70 cm ...