lecture 15 Independent t

# lecture 15 Independent t - Hypothesis Testing for Two Means...

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Hypothesis Testing for Two Means The population mean for the comparison group, μ 0 , is, like σ 2 , often an unknown quantity that must be estimated using sample data Independent samples t Test - Compares the means from two independent samples of subjects exposed to different experimental conditions (e.g., placebo and drug groups in a between-subjects design) 1

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Independent Samples t Test Conditions and assumptions: Unknown population means μ 1 and μ 2 Equal and unknown variance for both populations, σ 2 Sampling distributions for the two means are approximately normal, owing to either normally distributed parent populations or large enough sample sizes ( n 10 for each group) 2
The Test Statistic 1 - μ 2 ) hyp represents the difference between the population means for the two groups under H 0 X 1 and X 2 are the sample means for groups 1 and 2 s X 1 - X 2 is the estimate of the standard error for the sampling distribution of the difference between the sample means for the two groups t = [ (X 1 - X 2 ) - (μ 1 - μ 2 ) hyp ] /s X 1 - X 2 3

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