A travel agency is concemed with the accuracy and appearance of itineraries prepared for its clients. Defects can include errors in times, airlines, flight numbers, prices, car rental information, lodging, charge card numbers, and reservation numbers, as well as typographical errors. As the possible number of errors is nearly infinite, the agency measures the number of errors that do occur. The current process results in an average of five errors per itinerary a. What are the three-sigma control limits for these defects? The UCL, equalsand the LCL, equals. (Enter your responses rounded to three decimal places. If your answer for LCL, is negative, enter this value as 0.) b. A client scheduled a trip to Dallas. Her itinerary contained five errors. Interpret this information. O A. The number of defects is within the control limits, so it is assumed that the process is n t in control. OB. The number of defects is within the control limits, so it is assumed that the process is in control. C. The number of defects is greater than the upper control limit, so the process is not in control. D. The number of defects is less then the lower control limit, so the process is not in control.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question
No 5
**Understanding Control Limits in Error Measurement for a Travel Agency**

A travel agency is concerned with the accuracy and appearance of itineraries prepared for its clients. Errors can include mistakes in times, airlines, flight numbers, prices, car rental information, lodging, charge card numbers, and reservation numbers, as well as typographical errors. As the possible number of errors is nearly infinite, the agency measures the number of errors that do occur. The current process results in an average of five errors per itinerary.

### Analyzing Control Limits
**a. What are the three-sigma control limits for these defects?** 

**UCL (Upper Control Limit)** = _______ and **LCL (Lower Control Limit)** = _______ 
(Enter your responses rounded to three decimal places. If your answer for LCL is negative, enter this value as 0.)

**Three-Sigma Control Limits Explanation:**
- The three-sigma control limit is a range used to determine the upper and lower limits within which a process is considered to be in control.
- Errors outside this range might suggest an issue with the process quality and need for corrective actions.

**b. Client Scheduled Trip Error Analysis:**
A client scheduled a trip to Dallas. Her itinerary contained five errors. Interpret this information.

### Multiple Choice Options:
**A.** The number of defects is within the control limits, so it is assumed that the process is not in control.

**B.** The number of defects is within the control limits, so it is assumed that the process is in control.

**C.** The number of defects is greater than the upper control limit, so the process is not in control.

**D.** The number of defects is less than the lower control limit, so the process is not in control.

### Explanation:
1. **Normal Distribution and Three-Sigma Rule:**
   - Three-sigma control limits are based on the empirical rule where nearly all (99.73%) of the data falls within three standard deviations (sigma) of the mean.
   - For a normal distribution, this means determining if the process variation is within acceptable limits or a sign of an issue.

2. **Interpretation of Errors:**
   - If 5 errors are within the calculated control limits, it suggests that the process quality is within acceptable ranges.
   - If they are outside, it indicates that there might be a systemic issue needing investigation.

Understanding and managing errors within set control limits help the
Transcribed Image Text:**Understanding Control Limits in Error Measurement for a Travel Agency** A travel agency is concerned with the accuracy and appearance of itineraries prepared for its clients. Errors can include mistakes in times, airlines, flight numbers, prices, car rental information, lodging, charge card numbers, and reservation numbers, as well as typographical errors. As the possible number of errors is nearly infinite, the agency measures the number of errors that do occur. The current process results in an average of five errors per itinerary. ### Analyzing Control Limits **a. What are the three-sigma control limits for these defects?** **UCL (Upper Control Limit)** = _______ and **LCL (Lower Control Limit)** = _______ (Enter your responses rounded to three decimal places. If your answer for LCL is negative, enter this value as 0.) **Three-Sigma Control Limits Explanation:** - The three-sigma control limit is a range used to determine the upper and lower limits within which a process is considered to be in control. - Errors outside this range might suggest an issue with the process quality and need for corrective actions. **b. Client Scheduled Trip Error Analysis:** A client scheduled a trip to Dallas. Her itinerary contained five errors. Interpret this information. ### Multiple Choice Options: **A.** The number of defects is within the control limits, so it is assumed that the process is not in control. **B.** The number of defects is within the control limits, so it is assumed that the process is in control. **C.** The number of defects is greater than the upper control limit, so the process is not in control. **D.** The number of defects is less than the lower control limit, so the process is not in control. ### Explanation: 1. **Normal Distribution and Three-Sigma Rule:** - Three-sigma control limits are based on the empirical rule where nearly all (99.73%) of the data falls within three standard deviations (sigma) of the mean. - For a normal distribution, this means determining if the process variation is within acceptable limits or a sign of an issue. 2. **Interpretation of Errors:** - If 5 errors are within the calculated control limits, it suggests that the process quality is within acceptable ranges. - If they are outside, it indicates that there might be a systemic issue needing investigation. Understanding and managing errors within set control limits help the
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