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Eight Observations Were Selected from Each of Three Populations, and an Analysis

Question 45

Essay

Eight observations were selected from each of three populations, and an analysis of variance was performed on the data. The following are the results:  Source of Variation  Sum of  Squares  Degrees of  Freedom  Mean  Square F Between treatments 195.58 Within treatments (Error) 10.77 Total \begin{array} { l l l l l } \text { Source of Variation } & \begin{array} { l } \text { Sum of } \\\text { Squares }\end{array} & \begin{array} { l } \text { Degrees of } \\\text { Freedom }\end{array} & \begin{array} { l } \text { Mean } \\\text { Square }\end{array} & F \\\hline \text { Between treatments } & 195.58 & & \\\text { Within treatments (Error) } & 10.77 & & \\\hline \text { Total } & & &\end{array}
Using α = .05, test to see if there is a significant difference among the means of the three populations. The sample sizes for the three treatments are equal.

Correct Answer:

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H0: μ1 = μ2 = μ3
Ha: At least one...

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