A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Ten balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club from the first tee was randomized so that the pro did not know which type of ball was being hit. All 40 balls were hit in a short period of time, during which the environmental conditions were essentially the same. The results (distance in yards) for the four designs are stored in the table below. a) At the 0.05 level of significance, is there evidence of a difference in the mean distances traveled by the golf balls with different designs? Design1 Design2 Design3 Design4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.90 223.85 231.10 206.75 221.28 223.97 221.53 205.68 229.43 234.30 235.45 204.49 213.54 219.50 228.35 210.86 214.51 233.00 225.09
A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four different designs. Ten balls were manufactured with each design and were brought to the local golf course for the club professional to test. The order in which the balls were hit with the same club from the first tee was randomized so that the pro did not know which type of ball was being hit. All 40 balls were hit in a short period of time, during which the environmental conditions were essentially the same. The results (distance in yards) for the four designs are stored in the table below. a) At the 0.05 level of significance, is there evidence of a difference in the mean distances traveled by the golf balls with different designs? Design1 Design2 Design3 Design4 206.32 217.08 226.77 230.55 207.94 221.43 224.79 227.95 206.19 218.04 229.75 231.84 204.45 224.13 228.51 224.87 209.65 211.82 221.44 229.49 203.81 213.90 223.85 231.10 206.75 221.28 223.97 221.53 205.68 229.43 234.30 235.45 204.49 213.54 219.50 228.35 210.86 214.51 233.00 225.09
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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Question
A sporting goods manufacturing company wanted to compare the distance traveled by golf
balls produced using four different designs. Ten balls were manufactured with each design and
were brought to the local golf course for the club professional to test. The order in which the
balls were hit with the same club from the first tee was randomized so that the pro did not know
which type of ball was being hit. All 40 balls were hit in a short period of time, during which the
environmental conditions were essentially the same. The results (distance in yards) for the four
designs are stored in the table below.
a) At the 0.05 level of significance, is there evidence of a difference in the mean distances
traveled by the golf balls with different designs?
| Design1 | Design2 | Design3 | Design4 |
| 206.32 | 217.08 | 226.77 | 230.55 |
| 207.94 | 221.43 | 224.79 | 227.95 |
| 206.19 | 218.04 | 229.75 | 231.84 |
| 204.45 | 224.13 | 228.51 | 224.87 |
| 209.65 | 211.82 | 221.44 | 229.49 |
| 203.81 | 213.90 | 223.85 | 231.10 |
| 206.75 | 221.28 | 223.97 | 221.53 |
| 205.68 | 229.43 | 234.30 | 235.45 |
| 204.49 | 213.54 | 219.50 | 228.35 |
| 210.86 | 214.51 | 233.00 | 225.09 |
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