1 Calculate the UCL and LCL of the x chart control limits fo

1. Calculate the UCL and LCL of the x chart control limits for the 40 weeks, excluding the week 15 data.

2. Calculate the UCL and LCL of the R chart control limits for the 40 weeks, excluding the week 15 data.

3. Determine the subgroup means and ranges.

The accompanying data show the number of miles driven per day by four taxi drivers for a taxi company. Control charts for the first 40 weeks show an issue in week 15, but the company has decided this was a one-time event. Complete parts a through d below Taxi Mileage Click the icon to view the taxi mileage a. Using the control limits developed from the first 40 weeks, do the data from weeks 41 through 45 indicate that the process is now out of control? Explain. Calculate the x-chart control limits for the first 40 weeks, excluding the week 15 data. UCL = (Round to one decimal place as needed.) Week Taxi 1 Taxi 2 Taxi 3 Taxi 4 452 403 412 389 412 308413353 427 445485389 382 427408409 498 42412 511 388 483 419 416 500 438 44408 454 416 383365 430 370 516413 340 403 467400 387 351435411 448 388402 434 403 430 296416 432 525 343342 304 478 538400 369 447452 377 460 453 409 342 470 458 402 385 463 437447524 10 12 13 14 15 16 17 18 19 Enter your answer in the answer box, then click Check Answer 8 parts Clear All Check A

Solution

Excluding the week 15, data.

The Mean of the averages =415.6

The UCL =Mean + A2(Mean of R) =486.9 (Mean of R = 97.9;A2=0.729)