Statistical inference for the mean-3-t-test

# Statistical inference for the mean-3-t-test - Note 7...

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Statistical Inference for the Mean: t-test Note 7 When variance is estimated from a sample, t-distribution applies. T-Distribution : a distribution related to normal distribution but taking into account the number of degrees of eedom ymmetrical and roughly bell haped freedom. Symmetrical and roughly bell-shaped . Probability =df Kd f =degrees of freedom =n-1 t

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Statistical Inference for the Mean: t-test T-Distribution : Variance is estimated from a sample: x x n i ) ( 2 S the s m of sq ares of de iations from the sample mean df SS n s i / ) 1 ( 1 2 = = = SS: the sum of squares of deviations from the sample mean. df: the number of degrees of freedom, n-1. he independent variable of t istribution is The independent variable of t-distribution is Normal Distribution: x t μ = ) ( n x z σ = ) ( n s
Statistical Inference for the Mean: t-test t-distribution: Statistical inferences should be made using e t istribution rather than the normal distribution the t-distribution rather than the normal distribution if the variance is estimated from a sample.

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## This note was uploaded on 02/13/2012 for the course MATH 2320 taught by Professor Glyn during the Fall '11 term at Minnesota.

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Statistical inference for the mean-3-t-test - Note 7...

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