Reconsider the syringe lengths in Exercise 15-10. Suppose that the specifications are set at 4.90 and 5.00.

(a) Estimate the process standard deviation.

(b) Calculate PCR and PCR_k for the process.

Exercise 15-10

The following data were considered in Quality Engineering [€œAn SPC Case Study on Stabilizing Syringe Lengths€ (1999€“2000, Vol. 12(1))]. The syringe length is measured during a pharmaceutical manufacturing process. The following table provides data (in inches) for 20 samples each of size 5.

Transcribed Image Text:

Sample X3 4.960 4.946 4.950 4.956 4.958 4.940 2 4.958 4.927 4.935 4.950 4.929 3 4.971 4.965 4.952 4.938 4.940 4.982 4.970 4.953 4.960 4.953 4.962 5 4.964 4.950 4.956 4.969 4.954 6. 4.951 4.955 4.966 4.957 4.960 4.944 4.948 4.951 4.963 4.952 4.962 8. 4.969 4.949 9. 4.984 4.928 4.960 4.943 4.955 10 4.970 4.934 4.961 4.940 4.965 4.968 11 4.975 4.959 4.962 4.971 4.950 12 4.945 4.977 4.969 4.954