A sailboat manufacturer wishes to identify a single epoxy that has high strength at all temperatures. He designs a factorial experiment to evaluate the strength of epoxies from three different manufacturers at low, intermediate, and high temperatures. He performs the experiment in a completely randomized manner by randomly selecting an epoxy and temperature for each run until all experimental runs are completed. The strength data are shown below. Analyze the data by two-way ANOVA and construct an interaction plot. Which manufacturer should he use and what considerations should be made? Manufacturer B C 309, 295, 315 20 A 216, 239, 234 Temperature 25 344, 335, 348 278, 299, 271 311, 319, 327 321, 312, 325 30 372, 366, 385 360, 366, 361 | | 371, 361, 349 A B ° 0 E F Strength Manufacturer Temperature 216 A 239 A 234 A 222 105 15 G H J く SO RO Block Mfg Temp Strength 7 1 1 C 20 309 2 1 A 20 216 3 1 B 25 311 344 A 25 4 4 1 B 20 278 335 A 25 2 5 1 A 25 344 348 A 25 8 6 1 C 25 321 372 A 30 6 7 1 B 30 360 366 A 30 3 8 1 A 30 372 385 A 30 9 9 1 C 30 371 278 B 20 18 10 2 C 30 361 299 B 20 12 11 2 A 30 366 271 B 20 16 12 2 C 20 295 311 B 25 13 13 2 B 20 299 319 B 25 15 14 2 B 30 366 327 B 25 11 15 2 A 25 335 360 B 30 10 16 2 A 20 239 366 B 30 17 17 2 C 25 312 361 B 30 14 18 2 B 25 319 309 C 20 24 19 3 B 30 361 295 C 20 27 20 3 C 30 349 315 C 20 25 321 C 25 22 312 C 25 26 325 C 25 20 371 C 30 361 C 349 C 333 21 30 23 30 19 2222222 21 3 C 20 315 3 B 20 271 23 3 C 25 325 24 3 A 25 348 25 3 26 3 27 3 ABA 30 385 25 327 20 234