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Six Observations Were Selected from Each of Three Populations A Compute the Overall Sample Mean

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Essay

Six observations were selected from each of three populations. The data obtained is shown below.
 Sample 1 Sample 2 Sample 3313137283236343339323040263235293435\begin{array}{lll}\text { Sample } 1&\text { Sample } 2&\text { Sample } 3\\31 & 31 & 37 \\28 & 32 & 36 \\34 & 33 & 39 \\32 & 30 & 40 \\26 & 32 & 35 \\29 & 34 & 35\end{array}
a. Compute the overall sample mean .
b. Test at the α = 0.05 level to determine if there is a significant difference in the means of the three populations.


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