Problem 3 is worth 60 points below

3. There is a lawn mower used to cut a putting green. The putting green needs to be 7.70 inch long with a tolerance of +/- 1.70 inches

The lawn mower that mows the lawn has a mean of 9.10 inches with a standard deviation of 0.130 inches.

Compute the process capability ratio (Cp) and the process capability index (Cpk).

3a.) Cp = ______4.3590_______ __________ 10 pts answer, (Go to 4decimal places), place answer on this line, show your work on next page. I want a number here, not a word.

3b.) Cpk = _________0.7692_____________ 15 pts answer (Go to 4 decimal places), place answer on this line, show your work on next page. I want a number here, not a word. [hint Cpk is not zero. Zero is not the answer]

3c.) Does the process meet 6 sigma quality? (yes or no). ___NO_________ 3 pts answer

3d.) If not, then does the standard deviation have to be changed? In other words; is the Cp value not O.K? If Cp is not O.K., then your answer would be yes. If Cp is O.K. then answer would be no.(yes or no).

__________________3 pts answer

3e.) If standard deviation has to be changed, what does it have to be changed to?________________ 2 pts ans

3f.) If process does not meet 6 sigma, does the mean have to be changed? In other words, is the Cpk value not O.K. If it is not O.K.; then your answer would be yes. If Cpk is O.K. answer would be no. (yes or no).

___________Ans. 2.0pts

3g).. If mean has to be changed, what does the mean have to be changed to in order to achieve six sigma quality.

_________________________________ 25 pts answer (go to four decimal places), place answer on this line, show your work on next page. I want a number here, not a word.