Question: You have been selected to be part of a research team in your facility. Due to a possible batch of defective Nuclear Medicine, your team has been asked to randomly select patients already receiving the batch to see if it is causing recurrences of nausea, headaches and fever. Your team has selected to separate patients into three groups; (1) those who do not receive a batch within a week; (2) those who take two batches within a week; and (3) those who take the batch four times within the week. You select fourteen (14) patients for each group. Your team decides to make the claim that at least one of your groups (probably those who are not given a batch over the course of a week) will have a noticeably different mean than the other groups. Since you are dealing with three means, your team decides to perform an ANOVA. Please answer the questions using the data below:

a. State your null and alternative hypotheses:

b. Find the Between Group Variance

c. Find the within group variance

d. At the 0.05 level of significance, what is your decision?

e. If appropriate, conduct the next test.