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.

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.

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Sapphire golfer Miller Cruiser 275 350 295 brad 380 300 525 will huang 245 286 300 singh 220 256 286 woods 400 415 475 fisher 356 385 396