Question

In: Statistics and Probability

15 highly anxious students were randomly assigned so that 5 received behavioral therapy, 5 received cognitive...

15 highly anxious students were randomly assigned so that 5 received behavioral therapy, 5 received cognitive therapy, and 5 received psychoanalytic therapy. Later all 15 students were tested for anxiety (on a scale where the higher the score the greater the anxiety). The results of these measures appears below. On the basis of these data determine whether the therapies differ in their effectiveness.

          Anxiety Scores for Students Receiving Various Types of Therapy

                       Behavioral     Cognitive       Psychoanalytic

                                5                    5                      8

                                4                    5                      7

                                8                    7                      8

                                7                    7                      6

                                6                    6                      6

a) what is the inferential statistic? (choose one)

•Two-independent-samples t test

•Related-samples t test

•One-way between-subjects ANOVA

•One-way repeated-measures (within-subjects) ANOVA

•Two-way between-subjects ANOVA

•Regression/correlation

•Chi-square test for independence

b) what are the critical value(s)?

c) reject or accept null hypothesis?(yes or no)

Solutions

Expert Solution

One way between subjects ANOVA

b.

Critical Value = 3.885

c.

We fail to reject H0, that is Accept Ho

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