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A job recruitment firm runs assessment days for their clients, where potential employees are given a...

A job recruitment firm runs assessment days for their clients, where potential employees are given a series of tests. Part of this assessment day is a multiple-choice exam on general knowledge. The firm is trying to determine if the time of day that the test is given is a factor in how well candidates perform. A study is done, in which three random samples of people are given the same test, with one sample given the test at 9:00 am, one sample given the test at midday, and the final sample given the test at 3:00 pm. Each sample has 60 candidates. A one-way ANOVA test is performed.

The following table shows the relevant figures in the ANOVA test: Sum of squares Degrees of freedom Mean squares F p Between groups 1,410.96 2 705.48 3.2173 0.0424 Within groups 38,812.56 177 219.28 Total 40,223.52 179 Calculate the coefficient of determination, R2. Give your answer as a percentage to 2 decimal places.

R2 =

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