A company that makes balloons controls its production process by periodically taking a sample of 100 balloons from the production line. Each balloon is inspected for defective features. During the last 6 samples taken, the proportion of defective items per sample was recorded, as shown in the image above. Which answer below is correct for the center line, the upper control limit, and the lower control limit, respectively (meaning, in that order)? You will need to carry 4 decimal places in your computations. Sample # Percent Defective 1 .02 2 .01 .04 .03 .01 .02 3 4 5 6 A

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
icon
Related questions
Question
---
**COMPUTATIONAL PROBLEM (Values for a Control Chart)**

A company that makes balloons controls its production process by periodically taking a sample of 100 balloons from the production line. Each balloon is inspected for defective features. During the last 6 samples taken, the proportion of defective items per sample was recorded, as shown in the image below. 

Which answer below is correct for the center line, the upper control limit, and the lower control limit, respectively (meaning, in that order)? You will need to carry 4 decimal places in your computations.

| Sample # | Percent Defective |
|----------|-------------------|
| 1        | .02               |
| 2        | .01               |
| 3        | .04               |
| 4        | .03               |
| 5        | .01               |
| 6        | .02               |

---

In this problem, a table is provided that lists six samples along with the corresponding percentage of defective balloons for each sample. 

To solve this problem:
1. **Center Line Calculation**:
   - Calculate the average proportion of defective items for all the samples.

2. **Control Limit Calculations**:
   - Use the average proportion defective, standard deviation, and appropriate control chart factors to determine the upper control limit (UCL) and lower control limit (LCL).

This material is designed to help students learn how to compute control limits for quality control charts in a manufacturing setting.
Transcribed Image Text:--- **COMPUTATIONAL PROBLEM (Values for a Control Chart)** A company that makes balloons controls its production process by periodically taking a sample of 100 balloons from the production line. Each balloon is inspected for defective features. During the last 6 samples taken, the proportion of defective items per sample was recorded, as shown in the image below. Which answer below is correct for the center line, the upper control limit, and the lower control limit, respectively (meaning, in that order)? You will need to carry 4 decimal places in your computations. | Sample # | Percent Defective | |----------|-------------------| | 1 | .02 | | 2 | .01 | | 3 | .04 | | 4 | .03 | | 5 | .01 | | 6 | .02 | --- In this problem, a table is provided that lists six samples along with the corresponding percentage of defective balloons for each sample. To solve this problem: 1. **Center Line Calculation**: - Calculate the average proportion of defective items for all the samples. 2. **Control Limit Calculations**: - Use the average proportion defective, standard deviation, and appropriate control chart factors to determine the upper control limit (UCL) and lower control limit (LCL). This material is designed to help students learn how to compute control limits for quality control charts in a manufacturing setting.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Practical Management Science
Practical Management Science
Operations Management
ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,
Operations Management
Operations Management
Operations Management
ISBN:
9781259667473
Author:
William J Stevenson
Publisher:
McGraw-Hill Education
Operations and Supply Chain Management (Mcgraw-hi…
Operations and Supply Chain Management (Mcgraw-hi…
Operations Management
ISBN:
9781259666100
Author:
F. Robert Jacobs, Richard B Chase
Publisher:
McGraw-Hill Education
Business in Action
Business in Action
Operations Management
ISBN:
9780135198100
Author:
BOVEE
Publisher:
PEARSON CO
Purchasing and Supply Chain Management
Purchasing and Supply Chain Management
Operations Management
ISBN:
9781285869681
Author:
Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:
Cengage Learning
Production and Operations Analysis, Seventh Editi…
Production and Operations Analysis, Seventh Editi…
Operations Management
ISBN:
9781478623069
Author:
Steven Nahmias, Tava Lennon Olsen
Publisher:
Waveland Press, Inc.