One of the psychologist’s findings is that six months after the workshop, a sample of 49 job seekers who received training on resume writing scored an average of 6.5 as measured on a 9-point job-search satisfaction scale, with a standard deviation of 1.2. The typical job seeker scores 5.8 points. The psychologist finds that the estimated Cohen’s d is ____ , the t statistic is 4.12, and r² is . Using Cohen’s d and Cohen’s guidelines for interpreting the effect size with the estimated Cohen’s d, there is a _____ treatment effect. Using r² and the extension of Cohen’s guidelines for interpreting the effect size using r², there is a ____ treatment effect. (Hint: When using Cohen’s guidelines for interpreting the effect size, if the value lies between two categories, then specify the range covered by both categories, for example, medium to large.)
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From the data, we can see that,
This is a one-sample t-test.
We know that, Cohen’s d and r^2 are measures which are required to interpret the effect size of a t-test. Effect size is generally used to measure the magnitude of association between variables.
For Cohen’s d, if the effect size is 0.2, there is a small effect, if it is 0.5 then there is a medium effect, and if it is 0.8, then it has a large effect. For r^2, if the effect size is between 0 to 0.3, there is a small effect, if it is between 0.3 to 0.5 then there is a medium effect, and if the effect is between 0.5 to 1, then there is a large effect.
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