Bhisham C. Gupta - Statistics and Probability with Applications for Engineers and Scientists Using MINITAB, R and JMP

16 Chapter 19Table 19.2.1 Plan of a factorial design. Table 19.2.2 ANOVA table for the data in Table 19.2.1.Table 19.2.3 ANOVA table of the factorial design with two points at the center....Table 19.2.4 Certain designs for useful for fitting first‐order models. Table 19.2.5 Treatment matrix with responses.Table 19.2.6 ANOVA table for the data in Table 19.2.5.Table 19.2.7 Four factorial points and paired observations (see Table 19.2.5).Table 19.3.1 Values of to establish a rotatable central composite design. Table 19.3.2 Percentage of concentration of . Table 19.3.3 Ten extra points and their observed percentage of concentration of C Table 19.3.4 Data obtained using a central composite rotatable design.Table 19.3.5 The settings of the experimental design variables and recorded resp...Table 19.3.6 ANOVA table for first‐order design.Table 19.3.7 The factor setting, levels of the design variables, and observed re...Table 19.3.8 ANOVA table for second‐order design.Table 19.4.1 Data on a factorial plus three center points. Table 19.4.2 ANOVA table for the data in Table 19.4.1.Table 19.4.3 Points on the steepest ascent.Table 19.4.4 Predicted responses at the points along the path of steepest ascent...Table 19.4.5 Design plan and the data obtained using this plan.Table 19.4.6 ANOVA table for the data in Table 19.4.5.Table 19.5.1 Analysis of variance table for a second‐order model in k variables Table 19.6.1 Treatment matrix with responses.

17 1 Table A.1Summary of common probability distributions.

1 Chapter 1 Figure 1.1.1 Operation of the sewage treatment plant: (a) standard mode of ope... Figure 1.1.2 Original version of the screening unit (a) detailed diagram and (...

2 Chapter 2 Figure 2.2.1 Classifications of statistical data. Figure 2.4.1 Dot plot for the data on defective motors received in 20 differen... Figure 2.4.2 Pie chart for the data in Table 2.4.1 using MINITAB. Figure 2.4.3 Bar chart for annual revenues of five companies for the year 2011... Figure 2.4.4 Bar graph for the data in Example 2.4.4. Figure 2.4.5 Frequency histogram for survival time of parts under extraneous o... Figure 2.4.6 Relative frequency histogram for survival time of parts under ext... Figure 2.4.7 Frequency polygon for survival time of parts under extraneous ope... Figure 2.4.8 Typical frequency distribution curve. Figure 2.4.9 Three typical types of frequency distribution curves. Figure 2.4.10 The cumulative frequency histogram for the data in Example 2.4.5... Figure 2.4.11 Ogive curve using MINITAB for the data in Example 2.4.5. Figure 2.4.12 Line graph for the data on lawn mowers in Example 2.4.6. Figure 2.4.13 Stem‐and‐leaf plot for the data in Example 2.4.7 with increment ... Figure 2.4.14 Stem‐and‐leaf plot for the data in Example 2.4.7 with increment ... Figure 2.5.1 Frequency distributions showing the shape and location of measure... Figure 2.5.2 Two frequency distribution curves with equal mean, median, and mo... Figure 2.5.3 Application of the empirical rule. Figure 2.5.4 Distribution of amounts of soft drink contained in bottles. Figure 2.5.5 Dollar value of units of bad production. Figure 2.5.6 Shaded area lies within the intervals: (a) and (b) . Figure 2.7.1 Quartiles and percentiles. Figure 2.8.1 Box‐whisker plot. Figure 2.8.2 Box plot for the data in Example 2.8.1. Figure 2.8.3 MNITAB printout of box plot for the data in Example 2.8.1. Figure 2.8.4 Box plot for the data in Example 2.8.2. Figure 2.9.1 MINITAB printout of scatter plot for the data in Table 2.9.1.

3 Chapter 3 Figure 3.2.1 Venn diagram representing events E and . Figure 3.2.2 Venn diagram representing events , and . Figure 3.2.3 Venn diagram representing events , and . Figure 3.4.1 Tree diagram for the experiment in Example 3.3.1 Figure 3.6.1 Venn diagram showing events and . Figure 3.6.2Figure 3.6.2 Venn diagram showing mutually exclusive events in S

4 Chapter 4 Figure 4.1.1 Graphical representation of the discrete probability function in ... Figure 4.1.2 Graph of cumulative distribution function of a discrete random ... Figure 4.3.1 Graph of uniform probability function given in (4.3.1).

5 Chapter 5Figure 5.1.1 Graph of the cumulative distribution for a continuous variable.Figure 5.1.2 The probability that the random variable X falls in an interval...Figure 5.4.1 Uniform distribution over the interval .Figure 5.4.2 The probability for the uniform random variable X in .Figure 5.5.1 Graph of the normal p.d.f. given in (5.5.1).Figure 5.5.2 Curves representing the normal density function with different me...Figure 5.5.3 Curves representing the normal density function with different st...Figure 5.5.4 Graph of the normal p.d.f. given by (5.5.1) showing the relatio...Figure 5.5.5 Graph of the normal c.d.f. (5.5.7), showing the relationship betw...Figure 5.7.1 Graph of the binomial probability histogram in Example 5.7.1 and ...Figure 5.8.1 Graph of the cumulative normal distribution function on probabili...Figure 5.8.2 Normal probability plot for the data in Example 5.8.1.Figure 5.8.3 MINITAB normal probability plot for the data in Example 5.8.1.Figure 5.8.4 R normal probability plot for the data in Example 5.8.1.Figure 5.9.1 MINITAB graphs of lognormal density function for , and 1.0, with...Figure 5.9.2 Graphs of exponential density function for , and 2.0.Figure 5.9.3 Probability density function of the gamma distribution for variou...Figure 5.9.4 The p.d.f. of the Weibull distribution for various values of an...