1. You have 95 factors to test, each at two levels! Each run costs $5,000 in labor and materials. Each factor dropped saves $2,000 in sensor costs. Answer the following questions:

A: How many runs will be required at a minimum for a PB design to test all 95 factors?

B: What resolution is this design?

C: How much monetary savings is this PB design over a Half Fractional Factorial design lone replicate] covering the same number of factors?

D: A junior engineer, studying PB designs, has an idea that the company can save $14,000 if they just drop 2 factors. His logic is dropping 2 factors saves $4,000 and the two less runs (since K has dropped by two as well) saves another $10,000. Explain to him why his logic is wrong, and how much the true savings are for dropping 2 factors.

E: What is the key trade-off in a PB design? In other words, what are you giving up to save significant resources?

2. PAY ATTENTION

a. If the factors were labeled A,B,C,D,E,and F. How many degrees of freedom are there assigned to the 4 way interaction ABCF?

b. Suggest one way Disney could cut its costs by modifying this experiment, explain how it would reduce costs and what disadvantages the modification would have compared to the initial experiment.

3. Five key factors are being investigated to determine the impact on the vibrational response of a Bull Riding Machine mount. The five factors are:
• A: Mass of Mount
• B: Material Used in Gasket
• C: Screw Thread Count of Mounting Bolt
• D: Torque of Mounting Bolt

• E: Bolt Configuration

It has been determined that in order to save resources a 5 factor [ABCDE1 FrFE will be conducted. The generators have been selected as D = ABC and E = ACD

1. What is the notation for this experimental design?

2. How many runs/replicate will be required to conduct this experiment?

3. What are the defining words?

4. What is the resolution for this design?

5. What are the aliases for 'Material Used in Gasket'?

6. What would be a better generator set? Justify your answer