Bart and Homer are two engineers who work in the quality control lab at Schneider's Pretzel Co. in Handover Germany. Their job is to make sure all of the pretzels are made to a consistent size. Oversized pretzels means they're giving away free dough, but undersized pretzels can make for some angry customers. The company certainly doesn't want to ruin its reputation for quality, especially during Oktoberfest! Every hour, Bart and Homer each measure a "standardized" pretzel using one of the same measuring devices used by the production crew. Note: In lieu of a certified standard, companies sometimes adopt a "pseudo standard" that can be used for measurement studies. Bart's and Homer's measurements over a 30-hour period are shown below:

a. Using Bart's and Homer's data, develop and charts to determine estimates of the repeatability (within operator) error and reproducibility (between operator) errors.

c. Compute the signal-to-noise ratio and discrimination ratio for the measurement process. Comment on whether you believe the measuring process is adequate for this production process and why.

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(in) (in) Part Homer Part Bart Homer 1 1.146 1.1421.142 1.141 16 1.142 1.142 1.142 1.142 2 1.145 1.1431.141 1.142 17 1.142 1.1441.142 1.142 3 1.145 1.1461.141 1.144 18 1.142 1.143 1.144 1.142 4 1.145 1.1431.142 1.143 19 1.144 1.142 1.145 1.148 5 1.146 1.1451.141 1.142 20 1.143 1.143 1.143 1.142 6 1.143 1.1451.141 1.143 21 1.143 1.141 1.1441.14 7 1.145 1.1431.144 1.141 221.143 1.142 1.1441.146 8 1.146 1.1441.146 1.142 231.145 1.142 1.1451.14 9 1.143 1.1441.143 1.14324 1.142 1.1431.1461.145 10 1.144 1.1451.143 1.143 25 1.141 1.143 1.1451.145 111.145 1.1441.143 1.144 26 1.141 1.142 1.1451.141 12 1.143 1.1441.145 1.138 27 1.144 1.143 1.1451.143 13 1.1441.1431.145 1144 28 1.142 1.143 1.1461.149 14 1.144 1.143 1.1441.144 291.141 1.1421.1431.140 15 1.144 1.1431.142 1.143 30 1.141 1.1431.1451.137