A shoe manufacturer compared two new materials for the soles of shoes, call them A and B. Twelve adult volunteers, from locations spread around the USA, each got two shoes. The left was made with material A, and the right was made with material B. On both shoes, the material was exactly 1 inch thick. They were instructed to wear the shoes as they would normal shoes, and ship them back to the manufacturer after 2 months. Technicians then re-measured the thickness of the soles, and recorded the amount of wear (in microns). The data is below: Participant 1 2 3 4 5 6 7 8 9 10 11 12
Sole A 379 378 328 372 325 304 356 309 354 318 355 392
Sole B 372 376 328 368 283 252 369 321 379 303 328 411
They wish to test:
H0:μA−μB=0 vs
HA:μA−μB6=0, using α=0.05.
Graph the data as you see fit.
Why did you choose the graph(s) that you did d and what does it (do they) tell you?