Question

10. Manufacturers of golf balls always seem to be claiming that their ball goes the farthest. A writer for a sports magazine decided to conduct an impartial test. She randomly selected 20 golf professionals and then randomly assigned four golfers to each of five brands. Each golfer drove the assigned brand of ball. The driving distances, in metres, are displayed in the following table: Brand A Brand B Brand C Brand D Brand E 286 279 270 284 281 276 277 262 271 293 281 284 277 269 276 274 288 280 275 292 Averages: 279.3 282.0 272.3 274.8 285.5 Do the data provide sufficient evidence to conclude that a difference exists in mean driving distance in the five brands? Perform the required hypothesis test (ANOVA) using ? = 0.05, showing all calculation steps.

          10. Manufacturers of golf balls always seem to be claiming that their ball goes the farthest. A writer for a sports magazine decided to conduct an impartial test. She randomly selected 20 golf professionals and then randomly assigned four golfers to each of five brands. Each golfer drove the assigned brand of ball. The driving distances, in metres, are displayed in the following table:

Brand A Brand B Brand C Brand D Brand E
286 279 270 284 281
276 277 262 271 293
281 284 277 269 276
274 288 280 275 292
Averages: 279.3 282.0 272.3 274.8 285.5

Do the data provide sufficient evidence to conclude that a difference exists in mean driving distance in the five brands? Perform the required hypothesis test (ANOVA) using ? = 0.05, showing all calculation steps.

Added by Remedios R.

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