Suppose that, as a researcher, you're interested in the possible interplay between race and face recognition. You choose 65 participants, 13 of whom are of African descent, 13 of whom are of Western European descent, 13 of whom are of East Asian descent, 13 of whom are of Pacific Islander descent, and 13 of whom are of Middle Eastern descent. You let each participant examine a collection of 35 photographs of faces of college students who are African-American. You then test the participant by presenting, on a computer display and one at a time, a sequence of 70 faces (the 35 familiar ones and 35 others). You ask the participant to identify each presented face as being part of the original collection or not part of the original collection. A trial consists of the presentation of a face and the participant's response. One of the measures of how a participant in this experiment performs is the time that the participant takes to make her responses. You decide to record the total time in seconds) that each participant takes to make all 70 of her responses. These times are summarized here: Group Sample size Sample mean Sample variance 13 African Western European East Asian Pacific Islander Middle Eastern Send data 72.0 64. 3 72.5 71.4 65.0 41.2 41.0 45.5 30.7 43.2 13 R to Excel Suppose that you were to perform a one-way, independent-samples ANOVA test to decide if there is a significant difference in the population mean time among the five racial groups represented in this study. Answer the following, carrying your intermediate computations to at least three decimal places and rounding your responses to at least one decimal place. What is the value of the "between groups" mean square that would be reported in the ANOVA test? What is the value of the "within groups" mean square that would be reported in the ANOVA test?
