Liliana collected data about the happiness level of teenagers, young adults, and elderly individuals, with a score of 1 being “very unhappy” and a score of 5 being “very happy.”

a. Why is an ANOVA an appropriate statistical procedure for Liliana 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.

Transcribed Image Text:

Teenagers Young adults Elderly adults Total Score: 5 4 Score: 4 5 5 Score: 1 4 Score: 5 2 2 Score: 3 3 1 Score: 1 4 3 ΣΥ Σ) N