Suppose that, as a researcher, you're interested in the possible interplay between age and face recognition. You choose a number of participants for an experiment, with each participant coming from one of several (predetermined) age groups. Your goal is to decide if there is a difference in performance, based on age group, in a particular face-recognition task. You let each participant examine (for 15 minutes) a collection of 30 photographs 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 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. The varlable you examine is the total time (in seconds) that each participant takes to make all 60 of her responses. You perform a one-way, independent-samples ANOVA test of the hypothesis that there is no difference in the mean total response times among the populations of age groups studied. (a) This ANOVA test is summarized in the ANOVA table below. Fill in the missing cell of this ANOVA table (round your answer to at least two decimal places). Source of Degrees of Sum of Mean square F statistic variation freedom squares Between 4 185.62 46.41 groups Error 27.58 (within groups) 55 1516.9 Total 59 1702.52 (b) How many age groups were examined? +hin YjhjUgDF4jpg8JGX7hvvDr9N6mOk396VngzD-QgU6h5VEqE-FDJa7xcvpUzFDRgLnWo?1oBw7QYjlbavbSPXtx-YCjsh_7mM O CHI-SQUARE TESTS, INFERENCES FOR REGRESSION, AND ANOVA ANOVA: Hypothesis tests and the ANOVA table Emmanuel V (a) This VA test is summarized in the ANOVA table below. Fill in the missing cell of this ANOVA table (round your answer to at least two decimal places). Source of Degrees of Sum of variation freedom Mean square F statistic squares Between 4 185.62 46.41 groups Error (within groups) 55 1516.9 27.58 Total 59 1702.52 |(b) How many age groups were examined? ? (c) For the ANOVA test, it is assumed that the population variance of total response times is the same for each age group. What is an unbiased estimate of this common population variance based on the sample variances? (d) What is the p-value corresponding to the F statistic for the ANOVA test? Round your answer to at least three decimal places. (e) Can you conclude, using the 0.05 level of significance, that at least one of the population mean total response times differs from the others? OYes ONo Explanation Check Accessibility 2020 McGraw-Hill Education. All Rights Reserved. Terms of Use | Privacy pe here to search