Consider the data in Exercise 15-10. Calculate the sample standard deviation of all 100 measurements and compare this result to the estimate of σ obtained from your revised X̅ and R charts. Explain any differences.

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.

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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