minitab homework
suli1993
hw_doe.pptxHW DOE This is an individual assignment Use minitab to answer the problems Show results table where the P-values are and answer: what are the significant(s) factor or factor interaction(s)? Submit two files: minitab Project and also minitab worksheet There is quiz about DOE in Nov 30 and also there are couple of questions in the final exam
Problem #1
What are the effects of the material type and temperature in the life of a battery?
Is there any material selection that maximizes its life?
What are the significant(s) factor or factor interaction(s)?
Problem #2
Response: the performance of a chemical process is studied.
It is thought that the two most important variables: pressure and temperature. Three levels of each factor are selected and performed a factorial experiment with two replicates. Performance data are shown in the table.
What are the significant(s) factor or factor interaction(s)? Show p values.
| Pressure | |||
| Temperature | 200 | 215 | 230 |
| 150 | 90.4 | 90.7 | 90.2 |
| 90.2 | 90.6 | 90.4 | |
| 160 | 90.1 | 90.5 | 89.9 |
| 90.3 | 90.6 | 90.1 | |
| 170 | 90.5 | 90.8 | 90.4 |
| 90.7 | 90.9 | 90.1 |
Problem #3
The percentage of the concentration of hardwood pulp in gross, pressure, and cooking time of pulp are examined for their effects on paper strength. Three levels of concentration of hardwood are selected. Three levels of pressure and two cooking times. Carry out a factorial experiment with two replicates.
What are the significant(s) factor or factor interaction(s)?
| Time 3 hours | Time 4 hours | |||||
| Percentage | Pressure | Pressure | ||||
| concentration | 400 | 500 | 650 | 400 | 500 | 650 |
| 2 | 196.6 | 197.7 | 199.8 | 198.4 | 199.6 | 200.6 |
| 196 | 196 | 199.4 | 198.6 | 200.4 | 200.9 | |
| 4 | 198.5 | 196 | 198.4 | 197.5 | 198.7 | 199.6 |
| 197.2 | 196.9 | 197.6 | 198.1 | 198 | 199 | |
| 8 | 197.5 | 195.6 | 197.4 | 197.6 | 197 | 198.5 |
| 196.6 | 196.2 | 198.1 | 198.4 | 197.8 | 199.8 |
Problem #4
A machine is used to make grooves on a printed circuit board. The vibration level at the surface of the card when the slots are made is considered a major source of dimensional variation of the grooves. Two factors are thought to influence the vibration: the size of the grooves (A) and the cutting speed (B). two sizes of grooves (1/16 and 1/8 inch) and two speeds (40 and 90 rpm) are selected, and four grooves are made with each card set of conditions. Variable vibration response is measured as the resultant vector of three accelerometers (x, y, z) on each test card.
| Replication | ||||||
| A | B | Treatment | I | II | III | IV |
| - | - | [1] | 18.2 | 18.9 | 12.9 | 14.4 |
| + | - | a | 27.2 | 24 | 22.4 | 22.5 |
| - | + | B | 15.9 | 14.5 | 15.1 | 14.2 |
| + | + | ab | 41 | 43.9 | 36.3 | 39.9 |
Problem #5
Four factors, each with two levels were studied in a study of the performance of a process: time (A), the concentration (B), pressure (C) and the temperature (D). one replicate was run a design 2⁴ and data obtained are shown in the following table:
| Yield | Factor Levels | ||||||||
| Run order | Real order | A | B | C | D | lbs. | Low | High | |
| 1 | 5 | - | - | - | - | 12 | A(h) | 2.5 | 3 |
| 2 | 9 | + | - | - | - | 18 | B(%) | 14 | 18 |
| 3 | 8 | - | + | - | - | 13 | C(psi) | 60 | 80 |
| 4 | 13 | + | + | - | - | 16 | D(ᴼC) | 225 | 250 |
| 5 | 3 | - | - | + | - | 17 | |||
| 6 | 7 | + | - | + | - | 15 | |||
| 7 | 14 | - | + | + | - | 20 | |||
| 8 | 1 | + | + | + | - | 15 | |||
| 9 | 6 | - | - | - | + | 10 | |||
| 10 | 11 | + | - | - | + | 25 | |||
| 11 | 2 | - | + | - | + | 13 | |||
| 12 | 15 | + | + | - | + | 24 | |||
| 13 | 4 | - | - | + | + | 19 | |||
| 14 | 16 | + | - | + | + | 21 | |||
| 15 | 10 | - | + | + | + | 17 | |||
| 16 | 12 | + | + | + | + | 23 |
