Nicole is a psychology student interested in the social dynamics of solving problems. She divided her sample into three groups: people who solved problems alone (Group A), people forced to solve problems together (Group B), and people who could choose whether to solve problems in groups (Group C). She then measured how many minutes it took for each problem to be solved.

a. Why is an ANOVA an appropriate statistical procedure for Nicole to use?

b. What are the groups in this ANOVA?

c. What is the null hypothesis for this dataset?

d. Should she perform a one- or a two-tailed test with her data? Justify your response.

e. Find the Fcrit value for this ANOVA if α = .05.

f. Complete the information table below.

g. Complete the ANOVA table below.

h. Given the Fobs value, should she reject or retain the null hypothesis?

i. What is the p-value for this ANOVA?

j. Calculate and interpret the η² value for these data.

k. Should she conduct a post hoc test of the data? Why or why not?

l. Find the critical q value for Tukey’s post hoc test for these data.

m. Find the HSD values in Tukey’s post hoc test for each pair of groups and interpret the HSD values.

n. Find the residuals (based on the group means) for each score in the dataset.

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Group A Group B Group C Total Score: 8 13 7 Score: 12 10 15 Score: 16 9. 10 Score: 7 14 15 Score: 11 16 12 Score: 19 4 Score: 14 Score: ΣΥ Y