A precision parts manufacturer produces bolts for use in military aircraft. The company sampled four consecutively produced bolts each hour on the hour for 25 consecutive hours and measured the length of each bolt. The data on lengths of bolts are shown in the table at the bottom of the page. Management has specified upper and lower specification limits of 37 cm and 35 cm, respectively.

a. Assuming the process is in control, construct a capability analysis diagram for the process.

b. Find the percentage of bolts that fall outside the specification limits.

c. Find the capability index, C_p.

d. Is the process capable? Explain.

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BOLTS Hour Bolt Lengths (centimeters) Hour Bolt Lengths (centimeters) 1 37.03 37.08 36.90 36.88 14 37.08 37.07 37.10 37.04 2 36.96 37.04 36.85 36.98 15 37.03 37.04 36.89 37.01 3 37.16 37.11 36.99 37.01 16 36.95 36.98 36.90 36.99 4 37.20 37.06 37.02 36.98 17 36.97 36.94 37.14 37.10 36.81 36.97 36.91 37.10 18 37.11 37.04 36.98 36.91 6. 37.13 36.96 37.01 36.89 19 36.88 36.99 37.01 36.94 7 37.07 36.94 36.99 37.00 20 36.90 37.15 37.09 37.00 8. 37.01 36.91 36.98 37.12 21 37.01 36.96 37.05 36.96 9 37.17 37.03 36.90 37.01 22 37.09 36.95 36.93 37.12 10 36.91 36.99 36.87 37.11 23 37.00 37.02 36.95 37.04 11 36.88 37.10 37.07 37.03 24 36.99 37.07 36.90 37.02 12 37.06 36.98 36.90 36.99 25 37.10 37.03 37.01 36.90 13 36.91 37.22 37.12 37.03