A golf ball manufacturer desires to compare the distance traveled by golf balls using four unique designs. Fifteen balls were manufactured and each was brought to the local golf course for testing by the local pro. The order of the golf balls hit by the professional was randomized so the pro did not know which ball was being hit. All 60 balls were hit over a short time period to reduce any potential environmental effects. Use the data provided to answer the following questions: 1. 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? 2. Do the results in question 1 indicate that it is appropriate to use the Tukey-Kramer procedure to determine which designs differ in mean distances? 3. If the golf ball manufacturer wished to build the golf ball with the greatest distance, which design should the firm select?
The data used is:
A | B | C | D | |
1 | 206.32 | 217.08 | 227.77 | 230.55 |
2 | 207.94 | 221.43 | 224.79 | 227.95 |
3 | 206.19 | 218.04 | 229.75 | 231.84 |
4 | 204.45 | 224.13 | 228.51 | 224.87 |
5 | 209.65 | 211.82 | 221.44 | 229.49 |
6 | 203.81 | 213.9 | 223.85 | 231.1 |
7 | 206.75 | 221.28 | 223.97 | 221.53 |
8 | 205.68 | 229.43 | 234.3 | 235.45 |
9 | 204.49 | 213.54 | 219.5 | 228.35 |
10 | 210.86 | 214.51 | 233 | 225.09 |
11 | 207.94 | 221.43 | 224.79 | 227.95 |
12 | 204.45 | 224.13 | 228.51 | 224.87 |
13 | 203.81 | 213.9 | 223.85 | 231.1 |
14 | 205.68 | 229.43 | 234.3 | 235.45 |
15 | 210.86 | 214.51 | 233 | 225.09 |
A golf ball manufacturer desires to compare the distance traveled by golf balls using four unique designs. Fifteen ball...
A golf ball manufacturer desires to compare the distance traveled by golf balls using four unique designs. Fifteen balls were manufactured and each was brought to the local golf course for testing by the local pro. The order of the golf balls hit by the professional was randomized so the pro did not know which ball was being hit. All 60 balls were hit over a short time period to reduce any potential environmental effects. A B C D 1...
A golf ball manufacturer desires to compare the distance traveled by golf balls using four unique designs. Fifteen balls were manufactured and each was brought to the local golf course for testing by the local pro. The order of the golf balls hit by the professional was randomized so the pro did not know which ball was being hit. All 60 balls were hit over a short time period to reduce any potential environmental effects. A B C D 1...
A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using each of 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...
Problem 2 A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using each of 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...
1)To perform a Tukey-Cramer procedure, critical range is needed to make a decision. In this given data, how many different critical ranges do you actually need to calculate? 2)To perform a Tukey-Cramer procedure, what is the value of critical range for this data? 3)To perform a Tukey-Cramer procedure, what is absolute value mean difference between design 1 and design 4? 4)When comparing Design 1 and Design 3, is there any evidence to show significant mean difference between two designs? true...
At the level of .05, to check populations equal variances, what test do we need to perform? what is the H0 of your hypothesis? what is the Test-Statistics? what is p-value of the test? what conclusion can you draw from? 1 Design1 Design2 Design3 Design4 2 206.32 217.08 2267230.55 3 207.94 221.43 224.79 227.9 4 206.19 218.04 229.75231.84 5 204.45 224.13 228.51 224.87 6 209.65 211.82 221.44229.49 7 203.81 213.9 223.85 231.1 8 206.75 221.28 2237 221.53 9 205.68 229.43234.3...
1. An experienced golfer hit ten cheap golf balls and ten expensive golf balls using the same club. The data shown below indicate the distance travelled for each golf ball. Here are the results of the experiment: 201 201 189 201 188 211 197 205 183 179 196 207 200 196 197 187 198 193 CHEAP EXPENSIVE 203 208 (a) Find the mean distance traveled for the 10 cheap golf balls. (b) Find the standard deviation of the distance traveled...
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