Question

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 9 205.68 229.43234.3 235.45 10 204.49 213.54 219.5228.35 11 210.86 214.51 12 13 Question: A sporting goods manufacturing company wanted to compare the distance traveled by golf balls produced using four 233 225.09 different designs. Ten balls were manufactured with each design and were brought to the local golf course for the club 15 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 16 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 17 conditions were essentially the same. The results (distance traveled in yards) for the four designs are as follows, answer the 18 19 following questions. Assume all balls produced in four different designs are normally distributed and balls were selected randomly and independently.

1. At the level of .05, to check populations equal variances, what test do we need to perform?
2. what is the H0 of your hypothesis?
3. what is the Test-Statistics?
4. what is p-value of the test?
5. what conclusion can you draw from?

Answer 1