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A Researcher Wants to Investigate Whether There Is a Significant

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A researcher wants to investigate whether there is a significant difference in the average age of instructors, assistant professors, associate professors, and full professors at a university. The faculty members were selected at random and their ages were recorded. Use the collected data to complete the ANOVA chart given below
 Raw Data  Instructors  Assistant  Professors  Associate  Professors  Professors 262845583232485629365262364554654050625245466549\begin{array}{l}\text { Raw Data }\\\begin{array}{cccc}\hline \text { Instructors } & \begin{array}{c}\text { Assistant } \\\text { Professors }\end{array} & \begin{array}{c}\text { Associate } \\\text { Professors }\end{array} & \text { Professors } \\\hline 26 & 28 & 45 & 58 \\32 & 32 & 48 & 56 \\29 & 36 & 52 & 62 \\36 & 45 & 54 & 65 \\40 & 50 & 62 & 52 \\45 & 46 & 65 & 49 \\\hline\end{array}\end{array}

 A researcher wants to investigate whether there is a significant difference in the average age of instructors, assistant professors, associate professors, and full professors at a university. The faculty members were selected at random and their ages were recorded. Use the collected data to complete the ANOVA chart given below   \begin{array}{l} \text { Raw Data }\\ \begin{array}{cccc} \hline \text { Instructors } & \begin{array}{c} \text { Assistant } \\ \text { Professors } \end{array} & \begin{array}{c} \text { Associate } \\ \text { Professors } \end{array} & \text { Professors } \\ \hline 26 & 28 & 45 & 58 \\ 32 & 32 & 48 & 56 \\ 29 & 36 & 52 & 62 \\ 36 & 45 & 54 & 65 \\ 40 & 50 & 62 & 52 \\ 45 & 46 & 65 & 49 \\ \hline \end{array} \end{array}

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The between-groups sum of squares is 216...

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