In: Statistics and Probability
1. A researcher is interested in testing two different dosages of a new sleeping medication in a phase II clinical trial against a control group receiving a placebo. Suppose the following table observes the hours of sleep reported the preceding evening for subjects randomly assigned to each of the three groups. α = .05 Dosage One 8.5, 7.9, 8.6, 8.4, 7.6, 9.1. Dosage Two- 8.1, 7.9 , 7.9, 7.6, 7.4. Control Group- 5.2, 5.6, 5.7, 5.9, 6.2, 6.4, 6.1.
A) Calculate the MSB and MSW for a one-way analysis of variance procedure. B) Using the information above, calculate an F statistic, and provide an interpretation of your p-value. (Continue as though all assumptions for ANOVA are met). How would you solve this without using excel?