Download e-book for iPad: An Engineering Data Book by J.R. Calvert

By J.R. Calvert

ISBN-10: 0333516613

ISBN-13: 9780333516614

ISBN-10: 1349113107

ISBN-13: 9781349113101

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Sample text

L = 0 and a= 1. z 2 ,P(z) = - - e 2 J2; z Its cumulative distribution function lP(z) = J~ e -t12 dt -oo is the probability that the random variable is observed to have a value s; z (the shaded area shown in the graph ofN(0,1) on page 4-3). l) "'s ~ , where f(x)dx = 1 = tP -00 4-2 l k (x-p) l u Its cumulative distribution F(x) = e -tr 2 dt = cP( x ~11 ) . Tables of rp(z) and 4\z) may be used for f(x) and F(x) by taking X-11 z=--. 3 Experimental Samples x 1, x 2, ••• Xn denote a set of n observations of a random variable having a normal distribution whose mean 11 is unknown.

_Lix;-ml Sample variance: 1-"" (x; -m) 2 s2 =n - 1£... 58 m -,!! "n with n -1 degrees of freedom (tn-1), and the 95% confidence interval for p is obtained from m ± t c j;; and the table. 96 s I is a good approximation to the population mean with a 95% confidence. 4 Combination of Errors If results are normally distributed, the Most Probable Error Sz in the calculated result z = f(x, y, etc) due to independent standard errors Sx, Sy. etc in x, y, etc is given by: 2 (Sz) = (8zox Sx ) + (8zoy Sy ) + ...

24 >1010 .. * Cljrange IS related to the exact compositiOn of the polymer and the degree of drawmg under stress. , . =:a >II'> ....... _... 4 (gas oil) • commerctal tqut

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An Engineering Data Book by J.R. Calvert


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