4. (Analysis of variance Ch 7.5 - 7 points) This question refers to the same data that you analyzed above in question 3. The response variable is "taps per minute" as in question 3. The average response for all 30 men is x = 246.5. The average responses for the 3 groups are: "no caffeine": = 244.8 "100 mg caffeine": x2 = 246.4 "200 mg caffeine: x3 = 248.3 The standard deviations for the 3 groups are: "no caffeine": S = 2.394 "100 mg caffeine": S = 2.066 "200 mg caffeine": S3 = 2.214 The sample sizes of the 3 groups are n = 10, n = 10 and n3 = 10. a) [3] Using these summaries of the samples, calculate the mean square between groups, MSG b) [3] Using these summaries of the samples, calculate the mean square error, MSE. c) [1] Confirm that you get the same F-value (or close, except for rounding error) as given in the table in question 3.