Question: Cellular activity in four genetic variants of a fungus species was measured in five randomly selected cultures of each variant.

a) Test whether the variances are of four different variances are equal. What is your conclusion and what is the implication as to whether a parametric or nonparametric test should be selected? Explain? Use a 0.05 significant level for all procedures where appropriate.

b) Select a parametric statistical procedure to analyze the data. What are the null and alternative hypotheses in your statistical test? Is there a significant treatment effect? What are the test statistic, critical value and p-value? What is the conclusion?

c) Perform a non-parametric test and state your conclusion, test stat., critical value, and p-value. Why/why not is there a difference?