Question

3. Three racquetball players, one from each skill level, have been randomly selected from the membership list of a health club. Using the same ball, each person hits five serves, one with each of five racquets, using the racquets in a random order. The speed of each serve is shown on the answers sheet in cells L4 to N8.
	a. Use the 0.025 level of significance to determine whether the treatment effects of the five racquets could all be zero, using the players' skill level as a blocking variable.
	b. Evaluate the effectiveness of the blocking variable (whether there are different effects of the levels of the blocking variable) at the 0.01 significance level.

	Beginner	Intermed	Advance	sum	mean
RacqtA	73	64	83
RacqtB	63	72	89
RacqtC	51	54	72
RacqtD	56	81	86
RacqtE	69	90	97
sum
mean

Answer 1

a. Use the 0.025 level of significance to determine whether the treatment effects of the five racquets could all be zero, using the players' skill level as a blocking variable.

p-value = 0.022 < 0.025

hence we reject the null hypothesis

there is significant evidence that the treatment effects of the five racquets is not zero

b) Evaluate the effectiveness of the blocking variable (whether there are different effects of the levels of the blocking variable) at the 0.01 significance level.

p-value = 0.003 < 0.01

hence we reject the null hypothesis

there is significant evidence that the there are different effects of the levels of the blocking variable