| 100 points |
| An example of baking cookies. |
| The bakery wants to bake chocolate chip cookies for more sales. |
| Of course, the taste has to meet the customer's taste. |
| A focus panel of customers will be used to measure the taste. |
| A Likert scale from 1 - 10 will be used, with 10 being great taste. |
| The bakery will have 4 factors at 2 levels to consider, but only 8 runs to use. |
| Provide the following: |
| 1) run order chart and analysis |
| 2) effects of the matrix |
| 3) npp of the effects and any significant? |
| 4) coefficients for the prediction equation |
| 5) prediction equation |
| 6) ANOVA table |
| 7) Your analysis on what factors and levels are best for making good tasting cookies |
| Factors | Amount |
| | Low (-1) | High (+1) |
| butter (A) | 15 g | 25 g |
| sugar (B) | 1/2 cup | 3/4 cup |
| baking powder - C | 1/2 teaspoon | 1 teaspoon |
| baking time (D) | 15 minutes | 20 minutes |
| The experiment will be a 1/2 design of a 24-1, a 2^(4-1) = 8 runs |
| Standard order | run order | A | B | C | D = ABC | AB = CD | AC = BD | AD = BC | response |
| 1 | 8 | -1 | -1 | -1 | -1 | 1 | 1 | 1 | 9 |
| 2 | 4 | 1 | -1 | -1 | 1 | -1 | -1 | 1 | 10 |
| 3 | 6 | -1 | 1 | -1 | 1 | -1 | 1 | -1 | 6 |
| 4 | 2 | 1 | 1 | -1 | -1 | 1 | -1 | -1 | 3 |
| 5 | 5 | -1 | -1 | 1 | 1 | 1 | -1 | -1 | 7 |
| 6 | 1 | 1 | -1 | 1 | -1 | -1 | 1 | -1 | 7 |
| 7 | 7 | -1 | 1 | 1 | -1 | -1 | -1 | 1 | 5 |
| 8 | 3 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 7 |