1.A researcher wants to compare the levels of particulate matter (PM3.5) between 5 cities. She determined that the data are not normallydistributed. What test of significance should the research conduct? Why is this the appropriate test?

2.A university research group is conducting an experiment with 1 control group and 4 intervention groups. They want to conduct an ANOVA to compare the mean antibody titers between the groups.

1) When should they decide if they will use Bonferroni or Tukey tests for the post-hoc comparisons?

2) What is the purpose of doing a post-hoc comparison?

A biostatistician conducted an ANOVA to compare mean income between samples from 5 states. The study included 20 participants from each state. The calculated F statistic is 4.5.

1) State the null hypothesis

2) Calculate the 2 degree of freedom measures needed to determine the critical value

2) Determine the critical value

3) Should the null hypothesis be rejected or should the biostatistician fail to reject the null hypothesis?