Each year when the National Football League playoffs begin, the question arises,

“Which division’s teams are the toughest, East, North, South, or West?” Two ways to measure the strength of the football teams that play are the number of points they score (Pts F) and the number of points their opponents score (Pts A). The final results for the 16 regular-season games played by each of the eight teams in each division in the 2004 season follow.

East North South West Pts F Pts A Pts F Pts A Pts F Pts A Pts F Pts A 437 260 372 251 522 351 446 313 333 261 317 268 261 280 381 304 395 284 374 372 309 339 483 435 275 354 276 390 344 439 320 442 386 260 424 380 340 337 371 373 303 347 405 395 348 405 319 392 293 405 296 350 355 339 284 322 240 265 231 331 301 304 259 452 Source: http://www.nfl.com/

Complete an ANOVA table for (1) points scored and (2) points scored by opposing teams. In each case, test the null hypothesis that the mean points scored is the same for each of the four divisions.

Use the 0.05 level of significance.

a. Solve using the p-value approach.

b. Solve using the classical approach.