College Statistics Quiz
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ESTIMATION AND CONFIDENCE INTERVALS
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Let Interval 1 be a 95% confidence interval for μA−μB\mu_A - \mu_B based on sample sizes nA=30,nB=30n_A=30, n_B=30. Let Interval 2 be a 95% confidence interval for μC−μD\mu_C - \mu_D from a separate study with sample sizes nC=120,nD=120n_C=120, n_D=120. Assume the sample standard deviations are identical across all four groups (sA=sB=sC=sDs_A=s_B=s_C=s_D). What is the relationship between the width of Interval 1 (W1) and the width of Interval 2 (W2)?
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