The question arises every year when the playoffs begin in the National Football League: Which division teams

The question arises every year when the playoffs begin in the National Football League: €œWhich division 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 and the number of points their opponents score. The final results for the 16 games played in the 2009 season are shown in the table below:

Complete an ANOVA table for (a) points scored and (b) points scored by opposing teams. In each case, test the null hypothesis that the mean number of 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.

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National Football League North South Pts F Pts A Pts F Pts APts F Pts A Pts F Pis A 427 285 305 291 416 307 454 320 48 236 39 26 388 333 326 324 360 390368 324354 402197 379 258 326 245 375 290 380 294 424 361 250 470 312 510 341 375 325 429 337 461 297 363 325 330 281 402 427 327 375 315 308 280 390 266 336 262 494 244 400 75 436