Effect of massage on boxers. Eight amateur boxers participated in an experiment to investigate the effect of massage on boxing performance (British Journal of Sports Medicine, Apr. 2000). The punching power of each boxer (measured in newtons) was recorded in the round following each of four different interventions: (M1) in round 1, following a pre-bout sports massage; (R1) in round 1, following a prebout period of rest; (M5) in round 5, following a sports massage between rounds; and (R5) in round 5, following a period of rest between rounds. Based on information provided in the article, the data in the accompanying table were obtained. The main goal of the experiment was to compare the punching power means of the four interventions.

a. Set up H0 and Ha for this analysis.

b. Identify the treatments and blocks in the experiment.

c. Conduct the test set up in part

a. What conclusions can you draw regarding the effect of massage on punching power?

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Intervention Boxer M1 R1 M5 R5 12345678 1,243 1,244 1,291 1,262 1,147 1,053 1,169 1,177 1,247 1,375 1,309 1,321 1,274 1,235 1,290 1,285 1,177 1,139 1,233 1,238 1,336 1,313 1,366 1,362 1,238 1,279 1,275 1,261 1,261 1,152 1,289 1,266