1. The data \"Travel Time\" (in the JMP file, and reproduced on the next page) r
ID: 3277533 • Letter: 1
Question
1. The data "Travel Time" (in the JMP file, and reproduced on the next page) represents Mr. Cwiek's time to get to work (in minutes) for 23 consecutive days. These data were collected when he lived in the Fort Sanders neighborhood, and got to work via bicycle. These times were taken from the moment he was on his front porch ready to get on his bike to the time he arrived in his office (with his bike!). At some point in the data collection period, he began taking a different route into Stokely Management Center (SMC) a) Finish the calculation of the last 6 moving range values and plot them on the chart provided. b) Calculate the centerline for the moving range chart, and the upper control limit for the moving range chart. Draw these on the chart provided. c) Calculate the centerline for the X-chart, and if appropriate, the control limits for the X-chart. Draw these on the chart provided d) Do these 24 data values constitute a single, in control process? Explain your reasoning e) When do you believe Mr. Cwiek began taking a different route into SMC?Explanation / Answer
a, b and c)
d)
Yes because the average of times lie in between the control limits.
e)
He began taking a different route by day 15 because that is where the times differ than the previous day and the times have not fluctuated a lot since then.
Sample Minutes to Work Moving Range 1 7.6 2 8.18 0.58 3 7.67 -0.51 4 8.88 1.21 5 7.12 -1.76 6 7.45 0.33 7 6.57 -0.88 8 8.6 2.03 9 9.2 0.6 10 7.48 -1.72 11 8.95 1.47 12 7.88 -1.07 13 7.47 -0.41 14 7.45 -0.02 15 6.1 -1.35 16 6.18 0.08 17 6.38 0.2 18 5.12 -1.26 19 6.45 1.33 20 6.88 0.43 21 5.73 -1.15 22 7.15 1.42 23 6.02 -1.13 24 6.7 0.68 Sum 173.21 X 7.217083333 -0.039130435 R UCL (x+3S) 10.40926034 -0.143530435 UCL R D4*R LCL(x-3S) 4.02490633 SD 1.064059001Related Questions
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