Question

3. In real world, many times we don't have the luxury to perform ideal cases: to start with a statistical design then to be followed by a statistical analysis. Here is one example The following table is exerted from a project report in Ch E 4232 at Texas Tech University entitled "Characterization of Current Performance Curves of Centrifugal Pumps in CHACP I (courtesy of Lisa Swink, Jesse Saenz, Zac Hernandez, and Brandon Reynolds). t is also informed that the efficiency was the averaged value from two measurements, and the range for the efficiency is approximately 2% for each treatment. The purpose of these experiments is to identify the controlling factors for efficiency Data Set Total Volumetric amic Efficienc 2 4 6 Amperage Flow (GPM) Head (ft 523 534 718 707 503 536 527 524 8963 8946 13607 12760 7113 10842 8833 7875 180.29 0.728674 162.95 0.643802 156.015 0.697292 175.67 10.74772 198.78 0.66293 122.5 171.04 10.676091 187.22 10.663562 0.584374 7 Use some of the Six Sigma tools we have learned so far to analyze this historical data Can you make comments on what you have learned from your analyses? question whether or not the measured efficiency is statistically different. a. Hint: first ask the b. If you had a chance to recollect this set of data (still 8 treatments and 16 measurements), how would you design the experiments?

Answer 1