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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%)?

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%)?

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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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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