The U.S. Golf Association provides a number of services for its members. One of these is the evaluation of golf equipment to make sure that the equipment satisfies the rules of golf. For example, they regularly test the golf balls made by the various companies that sell balls in Canada. Recently, they undertook a study of two brands of golf balls with the objective to see whether there is a difference in the variance that the two golf ball brands will fly off the tee. To conduct the test, the U.S.G.A. uses a robot named "Iron Byron," which swings the club at the same speed and with the same swing pattern each time it is used. The following data reflect sample data for a random sample of balls of each brand. Is there a difference in the variances of the two balls. Use α=5% Use α=5% Decision Criteria? Calculated Value? What is the conclusion ? do we reject or do not reject? Is thereinsufficent evidence or no? Mean Std Dev Brand A: 234 236 230 227 234 233 228 229 230 238 231.9 3.63 Brand B: 240 236 241 236 239 243 230 239 243 240 238.7 3.89
The U.S. Golf Association provides a number of services for its members. One of these is the evaluation of golf equipment to make sure that the equipment satisfies the rules of golf. For example, they regularly test the golf balls made by the various companies that sell balls in Canada. Recently, they undertook a study of two brands of golf balls with the objective to see whether there is a difference in the variance that the two golf ball brands will fly off the tee. To conduct the test, the U.S.G.A. uses a robot named "Iron Byron," which swings the club at the same speed and with the same swing pattern each time it is used. The following data reflect sample data for a random sample of balls of each brand. Is there a difference in the variances of the two balls. Use α=5% Use α=5%
Decision Criteria?
Calculated Value?
What is the conclusion ? do we reject or do not reject?
Is thereinsufficent evidence or no?
Mean | Std Dev | ||||||||||||
Brand A: | 234 | 236 | 230 | 227 | 234 | 233 | 228 | 229 | 230 | 238 | 231.9 | 3.63 | |
Brand B: | 240 | 236 | 241 | 236 | 239 | 243 | 230 | 239 | 243 | 240 | 238.7 | 3.89 |
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