# Statistics for Environmental Engineers

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The form of a two-sided tolerance interval is the same as a confidence interval:

У ± K 1-a,p,ns

where the factor K1-apn has a 100(1 — a)% confidence level and depends on n, the number of observations in the given sample. Table 21.1 gives the factors (tn-1a/2 hjn) for two-sided 95% confidence intervals

Factors for Two-Sided 95% Confidence Intervals and Tolerance Intervals for the Mean of a Normal Distribution

 n Confidence Intervals K1-a, p, n for Tolerance Intervals (?n-1, a/2/Vn) p = 0.90 p = 0.95 p = 0.99 4 1.59 5.37 6.34 8.22 5 1.24 4.29 5.08 6.60 6 1.05 3.73 4.42 5.76 7 0.92 3.39 4.02 5.24 8 0.84 3.16 3.75 4.89 9 0.77 2.99 3.55 4.63 10 0.72 2.86 3.39 4.44 12 0.64 2.67 3.17 4.16 15 0.50 2.49 2.96 3.89 20 0.47 2.32 2.76 3.62 25 0.41 2.22 2.64 3.46 30 0.37 2.15 2.55 3.35 40 0.32 2.06 2.45 3.22 60 0.26 1.96 2.34 3.07 0.00 1.64 1.96 2.58 Скачать в pdf «Statistics for Environmental Engineers» P. M. Berthouex, L. C. BrownISBN 1-56670-592-4Метки учебные пособия