Suppose that, as a researcher, you're interested in the possible interplay between age and face recognition. You choose 65 participants, 13 of whom are in their twenties, 13 of whom are in their thirties, 13 of whom of their forties, 13 of whom in their fifties, and 13 of whom in their sixties. You let each participant examine (for 15 minutes) a collection of 30 photograph of faces of college students. You then test the participant by presenting, on a computer display and one at a time, a sequence of 60 faces (the 30 familiar ones and 30 others). You ask the participant to identify each presented face as being either part of the original collection or not part of the original collection. A trial consist of the presentation of a face and the participant's response. One of the meaasures of how a participant in this experiment performs is the time that the participant takes to make her responses. the variable you examine is the total time (in seconds) that a participant takes to make all 60 responses. Your data are summarized here.
Groups Sample size Sample mean sample variance
Twenties 13 67.1 20.8
Thirties 13 71.8 32.4
Forties 13 70.0 45.6
Fifties 13 70.8 46.3
Sixties 13 68.4 30.1
You decide to do a one-way, independent-sample ANOVA test of the hypothesis that the population mean response time is the same for each age group studied.
Based on these result, fill the rest of the anova table.
