A researcher wishes to determine whether there is a difference in the average age of middle school, high school, and college teachers. Teachers are randomly selected. Their ages are recorded below. Find the test statistic F to test the hypothesis that there is no difference in the average age of each group. Use a = 0.01. Middle School Teachers High School Teachers College Teachers 23 28 27 37 52 25 38 36 41 47 42 31 36 45 39 61 45 35

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