Question

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 yards, are displayed in the following table: Brand 1 | Brand 2 | Brand 3 | Brand 4 | Brand 5 --------|---------|---------|---------|-------- 286 | 279 | 270 | 284 | 281 276 | 277 | 262 | 271 | 293 281 | 284 | 277 | 269 | 276 274 | 288 | 280 | 275 | 292 Preliminary data analyses indicate that the independent samples come from normal populations with equal standard deviations. Do the data provide sufficient evidence to conclude that a difference exists in mean driving distances among the five brands? Perform the required hypothesis test using ? = 0.05. (Note: T1 = 1,117, T2 = 1,128, T3 = 1,089, T4 = 1,099, T5 = 1,142, and ?_{i=1}^5 ?_{j=1}^4 y_{ij}^2 = 1,555,185.)

          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 yards, are displayed in the following table:

Brand 1 | Brand 2 | Brand 3 | Brand 4 | Brand 5
--------|---------|---------|---------|--------
286     | 279     | 270     | 284     | 281
276     | 277     | 262     | 271     | 293
281     | 284     | 277     | 269     | 276
274     | 288     | 280     | 275     | 292

Preliminary data analyses indicate that the independent samples come from normal populations with equal standard deviations. Do the data provide sufficient evidence to conclude that a difference exists in mean driving distances among the five brands? Perform the required hypothesis test using ? = 0.05. (Note: T1 = 1,117, T2 = 1,128, T3 = 1,089, T4 = 1,099, T5 = 1,142, and ?_{i=1}^5 ?_{j=1}^4 y_{ij}^2 = 1,555,185.)

Added by Alicia W.

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