A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Transcribed Image Text:This image shows a spreadsheet containing data related to different "Sample" entries, numbered from 1 to 20. Each sample entry has associated values under five different "Wait" columns labeled Wait1, Wait2, Wait3, Wait4, and Wait5. Here's a detailed transcription of the data:
| Sample | Wait1 | Wait2 | Wait3 | Wait4 | Wait5 |
|--------|-------|-------|-------|-------|-------|
| 1 | 3.2 | 6.7 | 1.3 | 8.4 | 2.2 |
| 2 | 5 | 4.1 | 7.9 | 8.1 | 0.4 |
| 3 | 7.1 | 3.2 | 2.1 | 6.5 | 3.7 |
| 4 | 4.2 | 1.6 | 2.7 | 10.2 | 2.7 |
| 5 | 3.1 | 5.6 | 5.1 | 7.3 | 4.4 |
| 6 | 4.7 | 5.5 | 1.6 | 0.9 | 4.7 |
| 7 | 6 | 2.1 | 2.3 | 3.4 | 1.9 |
| 8 | 1.2 | 2.7 | 3.8 | 4.6 | 3.8 |
| 9 | 4.4 | 6.7 | 3.2 | 9.2 | 4.4 |
| 10 | 5.3 | 4.1 | 9.8 | 2.9 | 2.7 |
| 11 | 8 | 2.6 | 5.1 | 3.0 | 1.6 |
| 12 | 2.4 | 4.3 | 6.7 | 1.9 |
Transcribed Image Text:Officials at Mountain Airlines are interested in monitoring the length of time customers must wait in line to check in at their airport counter in Reno, Nevada. To develop a control chart, five customers were sampled each day for 20 days. The data, in minutes, are presented in CHECKN.xlsx. Conduct a capability analysis for the process. Management has specified a USL of 5 minutes. Is the process capable? Justify your answer. Why didn’t management provide a LSL? Construct the X-bar chart for the waiting process.
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Step 1
Cp = (USL -LSL)/(6*standard deviation) = (5-0)/(6*2.189756) = 0.380555
Cp is less than 1.0, so process is not capable.
Standard deviation is calculated using stdev function in excel.
Since the data is about wait time for a customer, the company would target to achieve 0.0 wait time. So, LSL is not given.
X-bar chart:
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