Wire rope has many applications, especially in hoisting and suspension. The fatigue limit, measured in MPa, of wire rope was collected for 15 specimens each from three different manufacturers of similar wire rope diameters, as follows. Manufacturer 1 Manufacturer 2 Manufacturer 3 350 371 350 373 350 377 350 372 354 374 361 377 350 372 359 376 362 377 358 384 363 380 364 379 370 391 365 383 364 380 370 391 368 388 365 380 370 392 369 392 366 392 371 371 371 a. Compare mean fatigue limits of the three manufacturers. Do the same for median fatigue limits. What do each suggest about the choice of manufacturer? If the two measures of central tendency suggest different choices, what does the difference suggest? b. Construct boxplots for each manufacturer using the built-in function in Excel. What extra information do you now have relative to part a? What conclusion do you draw about the difference in manufacturers with this extra information?