It is thought that the application of a plasma coating that conatins submicron particles of tungsten carbide will reduce wear to rotary valves used in the pulp and paper industry. Tests are conducted to compare the wear in coated and uncoated values. These data are gathered on the wear of the part in millimeters over the test period:
COATED: .075, .099, .078, .092, .078, .082, .088, .072
UNCOATED: .095, .096, .136, .156, .074, .081, .099, .104, .149, .052
A) Set up the null and alternative hypotheses needed to support the contention that the plasma coating on average reduces the wear in these valves
B) Based on these data is pooling appropriate?
C) Test the null hypothesis of part (A). Does it appear that the coating is effective in reducing wear? Explain based on the P value of your test.