An amateur golfer wishes to determine if there is a difference between the drive distances of her two favorite drivers. (A drive
r is a specialized club for driving the golf ball down range.) She hits fourteen balls with driver A and 10 balls with driver B. The drive distances (in yards) for the trials are shown below. Driver A
282 246 253 302 264 248 275
214 269 283 303 257 233 279
Driver B
249 235 251 269 218
252 220 292 263 239
Assume that the populations are approximately normal. Construct a 90% confidence interval for the difference between the mean drive distances for the two drivers. Be sure to include all necessary steps using an organized approach.