Question

The PGA is interested in knowing whether the difference in distance traveled by any two golf ball brands depends on the club used. The PGA tests four different brands (А.В.С.D) of golf balls and two different clubs (driver, five-iron) in a random experiment. The two-way table is presented below Brand A Brand B 238.3 231.7 227.7 237.2 184.4 180.6 179.5 186.2 Brand C 240.5 246.9 240.3 244.7 179 168 165.2 156.5 Brand D 219.8 228.7 232.9 237.6 157.8 161.8 162.1 160.3 226.4 232.6 iver iver iver iver 234 220.7 Five-Iron 163.8 Five-Iron 179.4 Five-Iron 168.6 Five-Iron 173.4 a. Use statistical software (CrunchIt) to complete the following two way ANOVA table MS Source df P-value Club Brand*Club Error Total b. Interpret the results of your analysis. Use α = 0.1 for each test you conduct.

Answer 1

df Q Source MS P-value 3 800.74 266 9 Bvan 0.0002 Club 936.75 132.09332093 1 O' O000 Brand * Club 255.32 65.96 1- 4-5 Error 2A- 3 4.26 822-2A Total 3 4482.05 31 D At d-allthree P-values ave less tha hence e each ol the three cone and reject the nul hupothenis & Club) ond he interacHion conclude that Both Sactors CBrand term (Brand *Club) ave signiftard at a=0.1

This is correct.