A golf instructor wants to determine if the drive distance is different for three golf ball brands. The instructor has several of his students drive the different brands and collects the following data.

		Golf Ball Brands (Factor A)
		Miller	Sapphire	Cruiser
Golfer (Factor B)	Brad	275	350	295
	Will	300	525	380
	Huang	245	286	300
	Singh	220	256	286
	Woods	400	415	475
	Fisher	356	385	396

a. Construct a two-way (without interaction) ANOVA table for the data.

b. At the 5% significance level, can you conclude the average drive distance differs by brand?

c. Explain why the golf instructor is not interested in the hypothesis test about the golfers.

d. Explain why the golf instructor uses a two-way ANOVA rather than a one-way ANOVA for brand.