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An athletic coach compares the 100m sprint times of two groups of athletes.
Group 1 (Training Plan A): \(\{11.2, 11.4, 11.1, 11.5, 11.3, 11.0\}\)
Group 2 (Training Plan B): \(\{11.6, 11.8, 11.5, 11.9, 11.7\}\)
Assuming population variances are equal, test at the \(5\pourcent\) significance level whether athletes on Plan A are
faster
(have a lower mean time) than those on Plan B.
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