The document contains measurements of pH values from 20 samples. It presents the data in tables and graphs, and calculates statistical measures such as mean, median, variance, and standard deviation. It finds that the process is within specifications but should be closely monitored, as the Cpk value could potentially drop below 1.
2. Moda
x y x y x y x y x y x y x y x y
5.721 0 5.800 0 5.878 0 5.957 0 6.036 0 6.115 0 6.19 0 5.95 0
5.721 40.0 5.800 40.0 5.878 40.0 5.957 40.0 6.036 40.0 6.115 40.0 6.19 40.0 5.95 40.0
x y
5.7515 0
5.7515 1
5.7925 1
5.7925 0
5.7925 4
5.8268 4
5.8268 0
5.8268 17
5.8610 17
5.8610 0
5.8610 30
5.8953 30
5.8953 0
5.8953 28
5.9295 28
5.9295 0
5.9295 25
5.9638 25
5.9638 0
5.9638 37 Cpk Minimo (M - LCL) , (UCL - M) Cpk= 1.0 , 1.00
5.9980 37 3 Desv. Est. 3 Desv. Est.
5.9980 0
5.9980 17
6.0323 17 Cp= UCL - ULC Cp = 1.00
6.0323 0
6.0323 23 6Desv Est.
6.0665 23
6.0665 0
6.0665 11
6.1008 11 CpI= (M- LCL)
6.1008 0 3Desv. Est. Cpl= 1.00
6.1008 5
6.1350 5
6.1350 0
6.1350 2 Cps= (UCL- M)
6.1693 2 3Desv. Est. Cps= 1
6.1693 0
Histograma
Conclusión: El proceso se consideracomo dentro de las especificaciones, solo que
debe estarbajo un control estricto, yaque el cp podríasermenorauno, entonces el
proceso no estaríacumpliendo considerablemente las espesificaciones. Es bueno
saberque lamayoriade las muestras de ph se encuentran dentro del rango
espesificado.
-2s -1s- + 1s + 2s-3s + 3s
0
5
10
15
20
25
30
35
40
45
5.7000 5.7500 5.8000 5.8500 5.9000 5.9500 6.0000 6.0500 6.1000 6.1500 6.2000 6.2500 6.3000
+ 3s