Refer to the slot depth data in Table 1.1. After the machine was repaired, a sample of three new ceramic parts had slot depths 215, 216, and 213 (thousandths of an inch).

(a) Redraw the $X$-bar chart and include the additional mean $\bar{x}$.

(b) Does the new $\bar{x}$ fall within the control limits?

Data From Table 1.1

Transcribed Image Text:

Table 1.1 Slot depth (thousandths of an inch) Time 6:30 7:00 7:30 8:00 8:30 9:00 9:30 10:00 1 214 218 218 216 217 218 218 219 2 211 217 218 218 220 219 217 219 3 218 219 217 219 221 216 217 218 Sum 643 654 653 653 658 653 652 656 214.3 218.0 217.7 217.7 219.3 217.7 217.3 218.7 Time 10:30 11:00 11:30 12:30 1:00 1:30 2:00 2:30 1 216 216 218 219 217 219 217 215 23 2 219 218 219 220 220 219 220 215 218 217 220 221 216 220 218 214 Sum 653 651 657 660 653 658 655 644 217.7 217.0 219.0 220.0 217.7 219.3 218.3 214.7