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CSSBB Certified Six Sigma Black Belt Questions 76–80 (page: 17)

Updated On: 10-Feb-2026

A pharmaceutical manufacturer is designing an experiment to test four different capsule ingredients designed to reduce dissolution time. Each ingredient will be tested at 10 milligrams and 40 milligrams. A full factorial design is used with five replications per run. The number of levels, factors and runs is, respectively:

  1. 2, 4, 16
  2. 4, 5, 8
  3. 10, 4, 40
  4. 2, 20, 16

Answer(s): A



(Refer to the previous problem) The variance of the five replications for each run is calculated. Most of these variances are approximately equal but two are significantly lower than the others. The experimenters would be especially interested in those two runs if they want to optimize:

  1. dissolution time
  2. interactions
  3. main effects
  4. robustness
  5. degrees of freedom

Answer(s): D



(Refer to the previous problem) To estimate the within treatment variance the experimenters would calculate the variances of:

  1. all 80 readings
  2. the five replications for each run
  3. the runs for which a factor is at its lowest level

Answer(s): B



An experiment has seven factors with two levels each. The experiment has eight runs. This experimental design is called:

  1. full factorial design
  2. half fractional factorial design
  3. interaction
  4. none of the above

Answer(s): D



The principle disadvantage of fractional factorial experiments is that:

  1. experimental error is high
  2. robustness is compromised
  3. effects are confounded
  4. measurements are less precise
  5. analysis is more difficult

Answer(s): C



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