A cognitive psychologist is interested in examining how well people performed a task in relation to their perception of its difficulty. Three random samples are selected and are told they will be asked to solve some math problems. However, to influence their perceptions, the psychologist tells one of the samples that the problems are easy, in another that the problems are of medium difficulty, and another that the problems are difficult. Afterwards, all participants are asked to complete math problems that are actually easy and the number correctly solved is recorded. Below are the data. What can the psychologist conclude with an α of 0.01 Easy Medium Difficult 912491087 4682968 1342232 A) Obtain/compute the appropriate values to make a decision about H0. critical value= test statistic= B)Compute the corresponding effect size(s) and indicate magnitude(s). η2 = C) Conduct Scheffe's Post Hoc Test for the following comparisons: 1 vs. 2: test statistic = 2 vs. 3: test statistic =
A cognitive psychologist is interested in examining how well people performed a task in relation to their perception of its difficulty. Three random samples are selected and are told they will be asked to solve some math problems. However, to influence their perceptions, the psychologist tells one of the samples that the problems are easy, in another that the problems are of medium difficulty, and another that the problems are difficult. Afterwards, all participants are asked to complete math problems that are actually easy and the number correctly solved is recorded. Below are the data. What can the psychologist conclude with an α of 0.01
| Easy | Medium | Difficult |
| 9 12 4 9 10 8 7 |
4 6 8 2 9 6 8 |
1 3 4 2 2 3 2 |
A) Obtain/compute the appropriate values to make a decision about H0.
critical value=
test statistic=
B)Compute the corresponding effect size(s) and indicate magnitude(s).
η2 =
C) Conduct Scheffe's Post Hoc Test for the following comparisons:
1 vs. 2: test statistic =
2 vs. 3: test statistic =
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