Appendix A

Statistical Tables and Charts

TABLE • I Summary of Common Probability Distributions

TABLE • II Cumulative Binomial Probabilities P(X ≤ x)

TABLE • III Cumulative Standard Normal Distribution

TABLE • IV Percentage Points of the Chi-Squared Distribution

TABLE • V Percentage Points t_α,v of the t Distribution

TABLE • VI Percentage Points f_α,ν1,ν2 of the F Distribution

Chart • VII Operating Characteristic Curves

(a) O.C. curves for different values of n for the two-sided normal test for a level of significance α = 0.05.

(b) O.C. curves for different values of n for the two-sided normal test for a level of significance α = 0.01.

Source: Charts VIa, e, f, k, m, and q are reproduced with permission from “Operating Characteristics for the Common Statistical Tests of Significance,” by C. L. Ferris, F. E. Grubbs, and C. L. Weaver, Annals of Mathematical Statistics, June 1946.

Charts VIb, c, d, g, h, i, j, l, n, o, p, and r are reproduced with permission from Engineering Statistics, 2nd Edition, by A. H. Bowker and G. J. Lieberman, Prentice-Hall, 1972.

(c) O.C. curves for different values of n for the one-sided normal test for a level of significance α = 0.05.

(d) O.C. curves for different values of n for the one-sided normal test for a level of significance α = 0.01.

(e) O.C. curves for different values of n for the two-sided t-test for a level of significance α = 0.05.

(f) O.C. curves for different values of n for the two-sided t-test for a level of significance α = 0.01.

(g) O.C. curves for different values of n for the one-sided t-test for a level of significance α = 0.05.

(h) O.C. curves for different values of n for the one-sided t-test for a level of significance α = 0.01.

(i) O.C. curves for different values of n for the two-sided chi-square test for a level of significance α = 0.05.

(j) O.C. curves for different values of n for the two-sided chi-square test for a level of significance α = 0.01.

(k) O.C. curves for different values of n for the one-sided (upper-tail) chi-square test for a level of significance α = 0.05.

(l) O.C. curves for different values of n for the one-sided (upper-tail) chi-square test for a level of significance α = 0.01.

(m) O.C. curves for different values of n for the one-sided (lower-tail) chi-square test for a level of significance α = 0.05.

(n) O.C. curves for different values of n for the one-sided (lower-tail) chi-square test for a level of significance α = 0.01.

(o) O.C. curves for different values of n for the two-sided F-test for a level of significance α = 0.05.

(p) O.C. curves for different values of n for the two-sided F-test for a level of significance α = 0.01.

(q) O.C. curves for different values of n for the one-sided F-test for a level of significance α = 0.05.

(r) O.C. curves for different values of n for the one-sided F-test for a level of significance α = 0.01.

TABLE • VIII Critical Values for the Sign Test

TABLE • IX Critical Values for the Wilcoxon Signed-Rank Test

TABLE • X Critical Values for the Wilcoxon Rank-Sum Test

TABLE • XI Factors for Constructing Variables Control Charts

TABLE • XII Factors for Tolerance Intervals