Stats Formulas

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Stats Formulas

Transcript of Stats Formulas

CONFIDENCE INTERVALSingle Sample (Means)Known Variance /Large Sample(n>30) :

Large Sample (n>30):

Small Sample (n30) :Small Sample (Equal Variances) :

Small Sample (Unequal Variances)

Two SamplePaired Observation :

ProportionSingle Proportion :Difference of Two Proportions :

Variances:Ratio of Two Variances :

Chi-Squared

TESTING OF HYPOTHESISTwo Means (Difference Between Two Means)

Known Variance /Large Sample(n>30)Test on two means

Small Sample (n z/2 and z < z/2

H1: d t > tH1: d t < tH1: d t > t/2 and t < t/2

H1: d t > tH1: d t < tH1: d t > t/2 and t < t/2

Single Sample (Means) Known Variance /Large Sample(n>30)

Small Sample (n zH1: z < zH1: z > z/2 and z < z/2

H1: t > tH1: t < tH1: t > t/2 and t < t/2

H1:pp z > zH1: pp z < zH1: pp z > z/2 and z < z/2

Variance unknownT=[(xbar)-0]/[s/n]