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Keisha Howard is starting a non-profit organization. She envisions three major tasks to be performed by volunteers, and she is interested in whether some of

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Keisha Howard is starting a non-profit organization. She envisions three major tasks to be performed by volunteers, and she is interested in whether some of these tasks would be more attractive than others. (She is measuring the attractiveness of a task by the number of hours an adult would be willing to volunteer at it per month.) She selected 16 adults at random and asked each the number of hours per month he would volunteer at each task. Thus, each adult gave three responses, one for each task. After checking that the assumptions for the test were satisfied, Keisha performed a one-way, repeated-measures ANOVA test to compare the responses for the three tasks. (a) Shown below is the ANOVA table for the test. Complete the table, and then answer the questions after the table. Do not round any values in the table except the F statistic value, which you should round to at least three decimal places. Source of Degrees of Sum of variation freedom squares Mean square F Statistic X 2 Treatments 2 0.407 0.2035 Blocks 0.36 Error 5.7 Total 47 6.467 (b) What is the p-value for the repeated-measures ANOVA test? Round your response to at least three decimal places. 5 Error 5.7 Total 47 6.467 (b) What is the p-value for the repeated-measures ANOVA test? Round your response to at least three decimal places. X ? others? (c) Using the 0.05 significance level, can Keisha conclude that at least one of the volunteering tasks has a different population mean response from the Yes ONo X 5 ? (d) Decide if this statement is true or false: In doing a repeated-measures study, the experimenter doesn't need to consider the possibility of order effects. True False (e) Decide if this statement is true or false: Compared to a repeated-measures study, an independent-samples study helps to eliminate variability due to individual differences and is more sensitive to detecting differences among population means when they exist. True False X ? Pic Stitch

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