ANOVA table
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A researcher wanted 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 was selected at random and their ages were recorded. Use the collected data to complete the ANOVA chart given below.
Instructors Assistant Professors Associate Professors Professors
26 28 45 58
32 32 48 56
29 36 52 62
36 45 54 65
40 50 62 52
45 46 65 49
ANOVA Summary
Source of Sum of Degrees of Variation F Value F Critical
Variation Squares freedom
______________________________________________________________________________________
Between-groups _________ 3 _________ 12.88 3.10
Within-groups 1120.17 __________ _________
Total 3283.63 23
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Solution Summary
Calculations of values in the ANOVA table is given in the answer.
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