Four doses of caffeine (0,5.9,13 mgl were given to 9 well-trained athletes, and

Question

Four doses of caffeine (0,5.9,13 mgl were given to 9 well-trained athletes, and their endurance times were obtained on each dose. Was blot king ustlul in reducing experim ntal error? Test at the 5% significant e level. Analysis of Variance Source Sum of Squares 933.1216 85557.9941 24 1261.6571 35 7752.7728 DF Mean Square FRatio Prob > F Caffeine Athlete Error C. Total 5.9168 694.749 13.2159 0.0036 .0001 311.041 52.569 H: Select l TS: Select] Select p-value: Select 0.05 Conclkusion: Since the p-value isSelect l [Select] . At the " 0.05 significance level there is! [ select l eviderice to indicate that blocking was effective in reduring experimental error

Explanation / Answer

The null hypothesis for an interaction effect is that the response mean for the level of one factor does not depend on the value of the other factor level. test statistics is given by F(8,24) =MS of caffein/MS of erroe=13.2195 Th ep value is given by 0.0001 The p value obtaine is less than 5% significant level. Therefore we have enough enough evidence to regect null hypothesis. therefore we conclude blocking is effective in reducing the expeimental error.

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