Mathematics Homework Help

STAT 101 – Assignment 4

50 points (+5 point extra credit opportunity)

Conduct an analysis of variance (ANOVA) to check for mean differences between three independent groups on any variable of your choice (i.e., Is there a difference in coffee consumption per week between those under age 18, those between 18-25, and those above age 25?). Each sample should have a minimum of n = 6 participants.

What to turn in:

1. State your research question (use the example from above as a model).
2. State the null and alternative hypotheses for your ANOVA.
3. Using α = .05 for your test, indicate the critical F-value, conduct the necessary calculations (show your work whenever possible) and state your conclusions regarding the original hypotheses (Reject H₀ or Fail to Reject H₀).
4. Calculate and interpret η² as a measure of effect size.
5. Using Tukey’s post-hoc test, check for specific significant differences between groups
   Note: Please do this even if your conclusion above is “Fail to Reject H₀”
6. Write a conclusion statement, as would appear in a published report.

Extra Credit (Up to 5 points):

1. Present your findings using an “ANOVA summary table” as discussed on p. 361 of the textbook. This page here also describes this table.

no extra material is needed but EXTRA CREDIT MUST BE DONE