Two independent samples have the same sample number (n1 = n2 = 25) and the sample standard deviation are identical (s₁ = S₂ = 10). The sample information shows that the 95% Confidence Intervals of the two population means overlap by 1. Is there enough evidence to show the two-population means are different (a =5%)?

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Chapter1: Combinatorial Analysis
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Two independent samples have the same sample number (n1 = n2 = 25) and the sample
standard deviation are identical (s₁ = S₂ = 10). The sample information shows that the 95%
Confidence Intervals of the two population means overlap by 1. Is there enough evidence to
show the two-population means are different (a =5%)?
Transcribed Image Text:Two independent samples have the same sample number (n1 = n2 = 25) and the sample standard deviation are identical (s₁ = S₂ = 10). The sample information shows that the 95% Confidence Intervals of the two population means overlap by 1. Is there enough evidence to show the two-population means are different (a =5%)?
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