The data (Roth, 1992) in Table 3.53 were obtained from a digital thickness gauge for measuring the wall thickness (in inches) of an unidentified part. Ten parts were selected randomly from a...

The data (Roth, 1992) in Table 3.53 were obtained from a digital thickness

gauge for measuring the wall thickness (in inches) of an unidentified part. Ten

parts were selected randomly from a production lot. Three operators were

selected from those who normally use the gauge. Each of the three operators measured the 10 parts that were randomly ordered. The 10 parts were

again randomly ordered and each of the three operators again measured the

parts. Assess this measurement system by providing point estimates and 95%

confidence intervals for 𝜎2

E, 𝜎2

operator, 𝜎2

item×operator and 𝜎2

operator+𝜎2

item × operator+𝜎2

E

𝜎2

item+𝜎2

operator+𝜎2

item × operator+𝜎2 E.