# Manufacturing Resistors for Electronic CircuitsResistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. To set up the machine and create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The measurements are used with three-sigma control limits.## Sample DataThe following table shows the sample number and the readings for each sample in ohms:| Sample Number | Readings (in Ohms) ||---------------|------------------------|| 1 | 1016, 995, 991, 1028 || 2 | 1024, 951, 991, 1001 || 3 | 909, 1015, 1025, 1012 || 4 | 918, 1002, 975, 995 || 5 | 1030, 1007, 1013, 1002 || 6 | 1016, 1015, 968, 1002 || 7 | 992, 1001, 1011, 1013 || 8 | 1028, 991, 1002, 995 || 9 | 1030, 1014, 987, 1023 || 10 | 986, 975, 998, 988 || 11 | 1006, 975, 1008, 1020 || 12 | 1016, 1004, 1020, 1019 || 13 | 1015, 1023, 1025, 995 || 14 | 986, 1013, 1004, 1020 || 15 | 981, 1014, 1015, 985 |## Calculationsa. Calculate the **mean** and **range** for the above samples. - Round the **Mean** to 2 decimal places.- Round the **Range** to the nearest whole number.| Sample Number | Mean | Range ||---------------|------|-------|| 1 | | ### Statistical Process Control Instructions#### c. Determine the UCL and LCL for a \(\bar{X}\)-Chart.- **Instructions:** Round your answers to 3 decimal places.- **Inputs Required:** - UCL (Upper Control Limit) - LCL (Lower Control Limit)#### d. Determine the UCL and LCL for R-Chart.- **Instructions:** Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.- **Inputs Required:** - UCL (Upper Control Limit) - LCL (Lower Control Limit)#### e. What comments can you make about the process?- **Options:** - ○ The process is in statistical control. - ○ The process is out of statistical control.### Explanation of Diagrams- **\(\bar{X}\)-Chart and R-Chart Tables:** - Each table consists of two rows labeled "UCL" and "LCL" for entering the Upper Control Limit and Lower Control Limit values respectively. These tools help in understanding variations in a process and determining whether it is statistically controlled or not. The \(\bar{X}\)-Chart monitors the mean of a process, while the R-Chart monitors the range of process variability.

Find the Given details below: Sample Number Reading in Ohms 1 1016 995 991 1028 2 1024 981…

Answered: Resistors for electronic circuits are…

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...

See similar textbooks

Related questions

Concept explainers

Question

# Manufacturing Resistors for Electronic Circuits

Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. To set up the machine and create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The measurements are used with three-sigma control limits.

## Sample Data

The following table shows the sample number and the readings for each sample in ohms:

| Sample Number | Readings (in Ohms) |
|---------------|------------------------|
| 1 | 1016, 995, 991, 1028 |
| 2 | 1024, 951, 991, 1001 |
| 3 | 909, 1015, 1025, 1012 |
| 4 | 918, 1002, 975, 995 |
| 5 | 1030, 1007, 1013, 1002 |
| 6 | 1016, 1015, 968, 1002 |
| 7 | 992, 1001, 1011, 1013 |
| 8 | 1028, 991, 1002, 995 |
| 9 | 1030, 1014, 987, 1023 |
| 10 | 986, 975, 998, 988 |
| 11 | 1006, 975, 1008, 1020 |
| 12 | 1016, 1004, 1020, 1019 |
| 13 | 1015, 1023, 1025, 995 |
| 14 | 986, 1013, 1004, 1020 |
| 15 | 981, 1014, 1015, 985 |

## Calculations

a. Calculate the **mean** and **range** for the above samples.
- Round the **Mean** to 2 decimal places.
- Round the **Range** to the nearest whole number.

| Sample Number | Mean | Range |
|---------------|------|-------|
| 1 | |

### Statistical Process Control Instructions

#### c. Determine the UCL and LCL for a \(\bar{X}\)-Chart.
- **Instructions:** Round your answers to 3 decimal places.
- **Inputs Required:**
- UCL (Upper Control Limit)
- LCL (Lower Control Limit)

#### d. Determine the UCL and LCL for R-Chart.
- **Instructions:** Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.
- **Inputs Required:**
- UCL (Upper Control Limit)
- LCL (Lower Control Limit)

#### e. What comments can you make about the process?
- **Options:**
- ○ The process is in statistical control.
- ○ The process is out of statistical control.

### Explanation of Diagrams

- **\(\bar{X}\)-Chart and R-Chart Tables:**
- Each table consists of two rows labeled "UCL" and "LCL" for entering the Upper Control Limit and Lower Control Limit values respectively.

These tools help in understanding variations in a process and determining whether it is statistically controlled or not. The \(\bar{X}\)-Chart monitors the mean of a process, while the R-Chart monitors the range of process variability.

Expert Solution

Trending now

This is a popular solution!

Step by step

Solved in 5 steps with 5 images

SEE SOLUTION Check out a sample Q&A here

Follow-up Questions

Read through expert solutions to related follow-up questions below.

Follow-up Question

Resistors for electronic circuits are manufactured on a high-speed automated machine. The machine is set up to produce a large run of resistors of 1,000 ohms each. Use Exhibit 13.7.

To set up the machine and to create a control chart to be used throughout the run, 15 samples were taken with four resistors in each sample. The complete list of samples and their measured values are as follows: Use three-sigma control limits.

c. Determine the UCL and LCL for a X−X− chart. (Round your answers to 3 decimal places.)

d. Determine the UCL and LCL for R-chart. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 3 decimal places.)

SAMPLE
NUMBER
1
234567890112 13 14 15
READINGS (IN OHMS)
1019
1009
998
1014
984
Sample
Number
1014
989
1020
985
976
1021
983
1011
990
983
982
1017
971
973
1010 1001
994
979
999 983
1002 1008
976
995
1002 1005 1001
1000
1018
984
1003
1012
1021
996
1006
988
978
978 1015
1002
1030
Mean
988
970
974
1027
1006
1011
991
980
986 1023 1006 989
990
1030
a. Calculate the mean and range for the above samples. (Round "Mean" to 2 decimal places and "Range" to the nearest whole number.)
Range

Solution

by Bartleby Expert

SEE SOLUTION

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.

Similar questions