Martha”s Wonderful Cookie Company makes a special super chocolate-chip peanut butter cookie. The company would like the cookies to average approximately eight chocolate chips apiece. Too few or too many chips distort the desired cookie taste. Twenty samples of five cookies each during a week have been taken and the chocolate chips counted. The sample observations are as follows:
Samples Chips per Cookie 1 7 6 9 8 5 2 7 7 8 8 10 3 5 5 7 6 8 4 4 5 9 9 7 5 8 8 5 10 8 6 7 6 9 8 4 7 9 8 10 8 8 8 7 6 5 4 5 9 9 10 8 9 7 10 11 9 9 10 6 11 5 5 9 8 8 12 6 8 8 5 9 13 7 3 7 8 8 14 6 9 9 8 8 15 10 8 7 8 6 16 5 6 9 9 7 17 6 10 10 7 3 18 11 4 6 8 8 19 9 5 5 7 7 20 8 8 6 7 3
Construct an-chart in conjunction with an R-chart using 3σ limits for this data and comment on the cookie-production process.
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Martha”s Wonderful Cookie Company makes a special super chocolate-chip peanut butter cookie. The company would like the cookies to average approximately eight chocolate chips apiece. Too few or too many chips distort the desired cookie taste. Twenty samples of five cookies each during a week have been taken and the chocolate chips counted. The sample observations are as follows:
| Samples | Chips per Cookie | ||||
| 1 | 7 | 6 | 9 | 8 | 5 |
| 2 | 7 | 7 | 8 | 8 | 10 |
| 3 | 5 | 5 | 7 | 6 | 8 |
| 4 | 4 | 5 | 9 | 9 | 7 |
| 5 | 8 | 8 | 5 | 10 | 8 |
| 6 | 7 | 6 | 9 | 8 | 4 |
| 7 | 9 | 8 | 10 | 8 | 8 |
| 8 | 7 | 6 | 5 | 4 | 5 |
| 9 | 9 | 10 | 8 | 9 | 7 |
| 10 | 11 | 9 | 9 | 10 | 6 |
| 11 | 5 | 5 | 9 | 8 | 8 |
| 12 | 6 | 8 | 8 | 5 | 9 |
| 13 | 7 | 3 | 7 | 8 | 8 |
| 14 | 6 | 9 | 9 | 8 | 8 |
| 15 | 10 | 8 | 7 | 8 | 6 |
| 16 | 5 | 6 | 9 | 9 | 7 |
| 17 | 6 | 10 | 10 | 7 | 3 |
| 18 | 11 | 4 | 6 | 8 | 8 |
| 19 | 9 | 5 | 5 | 7 | 7 |
| 20 | 8 | 8 | 6 | 7 | 3 |
Construct an-chart in conjunction with an R-chart using 3σ limits for this data and comment on the cookie-production process.
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