Question

Suppose that, as a researcher, you're interested in the possible interplay between race and face recognition. You choose 80 participants, 16 of whom are of African descent, 16 of whom are of Western European descent, 16 of whom are of East Asian descent, 16 of whom are of Pacific Islander descent, and 16 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 Sample Sample size mean variance African Western European East Asian Pacific Islander Middle Eastern 16 16 16 16 16 71.1 71.6 72.2 72.6 69.1 30.0 21.7 52.8 33.1 10.1 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.

Answer 1

SS 79 Ans. By the given data. cwe have the table as apply one way ANOVA testo Sounces of MS Estat P-value Between Groups4 119.488 (sse) 29.872 0.028 0.9 withione Groups 75 80345.250 (SSW) 1071,270 Tolal 80464.738 where, SSB = Skni (7; -7², ni is the number of subject in the ith group (n-1) s where si is the standard deviation of the itt group Ttre volue of ta ' between group mean suape Mat would reported ANOVA test is 119.5 tre ralver of the within group mean squares that could reported ANOVA 803 45.3 SSW test is