A drug company is comparing the results of three medications on the severity of bacillary dysentery in 75 Peace Corps volunteers returning to the US (N = 75). Below are the averages for these three groups. Remember, you'll solve this by using the incomplete ANOVA table. Placebo: xbar₁ = 16.74, n₁ = 25 Ciprofloxacin: xbar₂= 13.64, n₂ = 25 Ofloxacin: xbar₃= 13.48, n₃ = 25

a. State the null and alternative hypotheses.

b. Conduct an ANOVA, showing all your work for each step, by completing the ANOVA table below. You need to show both the work for the answers you will present in the table and then also present the completed table itself.

Source	Sum of Squares	df	Mean square	F-statistic
Effect	202.63	X	X	X
Error	X	X	X
Total	715.07	X

c. Use a Type I error rate of (alpha) = 0.05, look up your critical F-value.

d. What do you conclude regarding the null hypothesis? Would the p-value be bigger or smaller than alpha?

e. What do you conclude about your research question (use your own words, in everyday language)?

f. Should you do the follow-up t-tests for this ANOVA analysis? Why or why not? If yes, conduct and interpret follow-up t-tests for this ANOVA analysis, including an overall interpretation of the results.