Teacher instructions below. g- Assume Tolerance limit of 25t1.50 lbs. is specifi

Question

Teacher instructions below. g- Assume Tolerance limit of 25t1.50 lbs. is specified in the sales contract and find the Process capability index Cpk. Explain what it indicates and if process is capable to meet contractual agreement 25-1.50 23.5 STANDAR DEVIATION .58 25+1.50 26.5 X-BAR- 24.54 CP USL-LSL/6(R/D2) (CP) 23.5-26.5/6 .58 8620 (CPLI24. 54-23.5/3 .58 5977- .60 CPL X-LSL/3(R/D2) CPU- USL-X/3 (R/D2) (CPU 26.5-24.54/3 .58- 1.126 1.13 CPK-MIN PL, CPU) (CPK) MINO 60.1.13) (.60,1.13) This process is not capable because it is not at or above 1.33 h- Redo part g for all three shifts separately and determine their Cpk. Note that you must find mean and standard deviation for each shift separately. Morning shift SD 19 (CPL 25.15 23.5/3*.19- 2.89 (CPU) 26.5-25.15/3*.19- 2.37 (CPK) (2.89,2.37) Afternoon shift SD 2.17 (CPL 24.62-23.5/3 2.17 17 (CPU) 26.5 24.62/3 2.17 .29 (CPK) (.17.29) Night shift SD .31 (CPL) 23.86-23.5/3*.31 39 (CPU 26.5-23.86/3 .31 2.84 (CPK) (.39,2.84)

Explanation / Answer

in g part all calculations and formulas are correct except you wrote for Process capability that

Cp = 23.5-26.5/6*0.58 = -0.8620

This is wrong

The correct Cp is

Cp = 26.5-23.5/6*0.58 = 0.8620

Rest are correct

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