Basic Statistics Formulas - Integral Table

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Basic Statistics FormulasPopulation MeasuresMean =1n xi(1)Variance 2=1n (xi x)2(2)Standard Deviation = 1n (xi x)2(3)SamplingSample meanx=1n xi(4)Sample variances2x=1n 1 (xi x)2(5)Std. Deviationsx= 1n 1 (xi x)2(6)z-scorez=x (7)Correlationr=1n 1n i=1((xi x)sx)((yi y)sy)(8)Linear RegressionLine y=a+bx(9)b=rsysx,a=y bx(10)s= 1n 2n i=1(yi y)2(11)SEb=s n i=1(xi x)2(12)To testH0:b= 0,uset=bSEb(13)CI=b t SEb(14)ProbabilityP(AorB) =P(A) +P(B) P(AandB)(15)P(notA) = 1 P(A)(16)P(AandB) =P(A)P(B) (independent)(17)P(B|A) =P(AandB)/P(A)(18)0! = 1;n! = 1 2 3 (n 1) n(19)(nk)=n!k!(n k)!(20)Binomial Distribution :P(X=k) =(nk)pk(1 p)n k(21) =np, = np(1 p)(22)One-Sample z-statisticTo testH0: = 0usez=z 0 / n(23)Confidence Interval for =x z n(24)Margin of ErrorME=z n(25)Minimum sample sizen [z ME]2(26)One-Sample t-statisticSEM=sx n, t=x sx/ n(27)Confidence Interval =x t sx n(28)Two-Sample t-statistict=x1 x2 s21n1+s22n2(29)Conf.

Table Entry Standard Normal Cumulative Proportions (below) TailArea 1-C 2 AreaC t-Distribution Critical Values (to right) Standard Normal Cumulative Proportions

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