A production engineer claims that there is no difference in the mean nut diameter manufactured by two different methods. the first method produced nuts with the following diameter (in centimeters)...

A production engineer claims that there is no difference in the mean nut diameter manufactured by two different methods. the first method produced nuts with the following diameter (in centimeters) 3.330 3.337 3.329 3.354 3.325 3.343 3.333 3.347 3.332 3.358 3.353 3.335 3.341 3.331 3.304 3.306 3.337 3.336 3.323 3.347 3.306 3.345 3.306 3.338 3.353 3.339 3.338 3.338 3.350 3.320 3.364 3.340 3.348 The second method produces nuts with the following diameters (in centimeters) 3.513 3.490 3.498 3.504 3.483 3.512 3.494 3.504 3.495 3.489 3.493 3.499 3.497 3.494 3.496 3.485 3.506 3.517 3.484 3.498 3.522 3.505 3.501 3.491 3.500 3.499 3.475 3.486 3.501 3.496 3.513 At alpha=0.04 test the engineers claim. Make sure that you include all components of a hypothesis test. Calculate standard deviation and mean of the samples.