Complete the following problem:
Q: An office furniture manufacturer installed a new adhesive application process. To compare the new process to the old process, random samples were selected from the two processes, and "pull tests" were performed to determine the number of pounds of pressure that were required to pull apart the glued parts (destructive testing). Let X and Y denote the pounds of pressure needed for the new and old processes, respectively.
(a) Based on n = m = 24 observations, define the test statistic and critical region for testing Ho:μx- μy = 0 against H1:μx- μy> 0. Let a = 0.05. State assumptions.
(b) Use the following n = 24 observations of X
1250
1210
990
1310
1320
1200
1290
1360
1120
1360
1310
1110
1320
980
950
1430
960
1050
1310
1240
1420
1170
1470
1060 and the following m = 24 observations of Y
1180
1360
1310
1190
920
1060
1440
1010
1310
980
1310
1030
960
800
1280
1080
930
1050
1010
1310
940
860
1450
1070
to calculate the value of the test statistic and clearly state your conclusion.
(c) What is the approximate p-value of this test?
(d) Construct two box plots on the same graph. Do the box plots support your conclusion?