To test whether a golf ball of brand A can be hit a greater distance off the tee than a

QUESTION:

To test whether a golf ball of brand A can be hit a greater distance off the tee than a golf ball of brand B, each of 17 golfers hit a ball of each brand, 8 hitting ball A before ball B and 9 hitting ball B before ball A. The results in yards are as follows: Distance Distance Distance Distance for for for for Golfer Ball A Ball B Golfer Ball A Ball B 1 265 252 10 274 260 2 272 276 11 274 267 3 246 243 12 269 267 4 260 246 13 244 251 5 274 275 14 212 222 6 263 246 15 235 235 7 255 244 16 254 255 8 258 245 17 224 231 9 276 259 Assume that the differences of the paired A distance and B distance are approximately normally distributed, and test the null hypothesis H0: D = 0 against the alternative hypothesis H1: D > 0, using a paired t test with the 17 differences. Let = 0.05.