Management Chapter 8 Homework Average Range 0091 Range Operator Averages 0043

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Problem 8-03 – Instructor Reserve

TenGage, Inc.

Gauge Repeatability and Reproducibility

This spreadsheet is designed for up to three operators, three trials, and ten parts. Enter data ONLY in yellow shaded cells.

Number of operators

Upper specification limit

1.45 Average range 0.091

Data

Part

Part # 1 2 3 Average Range 1 2 3 Average Range 1 2 3

Average

Range Average

11.272 1.312 1.376 1.320 0.104 1.240 1.264 1.440 1.315 0.200 1.280 1.320 1.296 1.299 0.040 1.311

21.328 1.328 1.344 1.333 0.016 1.344 1.400 1.352 1.365 0.056 1.344 1.368 1.408 1.373 0.064 1.357

31.344 1.344 1.296 1.328 0.048 1.280 1.136 1.088 1.168 0.192 1.096 1.040 1.080 1.072 0.056 1.189

41.080 1.136 1.184 1.133 0.104 1.136 1.216 1.272 1.208 0.136 1.200 1.184 1.208 1.197 0.024 1.180

51.344 1.232 1.304 1.293 0.112 1.400 1.352 1.264 1.339 0.136 1.272 1.312 1.328 1.304 0.056 1.312

% of Total Variation

% of Tolerance

Repeatability (Equipment Variation) – EV

0.276 EV 66.94% EV 92.04% EV 44.81%

Reproducibility (Appraiser Variation) – AV

0.105 AV 25.40% AV 34.93% AV 6.45%

Repeatability and Reproducibility – R&R

0.295 R&R 71.59% R&R 98.45% R&R 51.26%

Do not modify these tables

Trials/Operators D4 K1 K2

Parts K3

2 3.65

3 2.7

4 2.3

Variance Ratios

Trial

Operator 1

Operator 2

Operator 3

Lower specification limit