The overall distance traveled by a golf ball is tested by hitting the ball with Iron Byron, a mechanical golfer with a swing that is said to emulate the legendary champion, Byron Nelson. Ten randomly selected balls of two brands are tested and the overall distance measured. Assume the data are normally distributed. The data follow: Brand 1 275 286 287 271 283 271 279 275 263 267
n1= 10, x(bar)1= 275.7, s1= 8.0284

brand 2 258 244 260 265 273 281 271 270 263 268

Required:
Are we justified in assuming that the two data sets come from Normal populations?