Minitab Assignment 1: Statistical Analysis of Paint Hardness for Engineering – Report
University | Atlantic Technological University (ATU) |
Subject | Statistical Process Analysis |
Background
When the cured samples are available for testing, your team measures each sample set for hardness and records this data in Minitab in a column called Response.
The team also captures some additional data, such as the curing temperature of the sample and the operator that performed the data capture.
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Worksheet
Column | Description | Variable Type |
---|---|---|
Paint | The blend of paint tested: Blend 1, Blend 2, Blend 3, or Blend 4 | Factor |
Hardness | The hardness of each sample | Response |
Temp | The curing temperature of the sample | Covariate |
Operator | The operator who collected the sample: 1, 2, or 3 | Factor |
The top two performers.
Deliverables
- Construct a formal Minitab report for your manager. Include background details of the test and a formal conclusion (in non-technical language).
- Perform initial basic statistical analysis of the data – generate comparison statistics and comparison charts and comment on these.
- Conduct a 95% Confidence Hypothesis Test to test the hypothesis that the four paint blends have similar means or different means.
- Provide a recommendation to your manager with the blend of paint that your testing has identified as being the ‘hardest’, supported by statistical evidence.
- Recommend a second-best blend in case the first blend is not available or too expensive. Again, support your recommendation with statistical analysis.
- The industry standard for the hardness of the paint is 20. Confirm whether both of your recommendations can achieve that standard using a 95% Confidence Hypothesis Test.
- Include the following in your report:
- TUS Cover Page
- Table of Contents
- Introduction / Background (the purpose of the test)
- Analysis
- Conclusions
- Recommendations
- Next Steps
- Page Numbers
- Appendix (if necessary)
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Note:
- Minitab can split a worksheet into new individual worksheets by a certain column. Go to Data – Split Worksheet and enter the Column name.
- Minitab can take a subset of a worksheet to create a new worksheet. Go to Data – Subset Worksheet.
Paint Hardness Data
Data Table
Paint | Hardness | Temp | Operator |
---|---|---|---|
Blend 2 | 14.9 | 30.3 | 1 |
Blend 3 | 13 | 30.9 | 2 |
Blend 4 | 15 | 30.5 | 2 |
Blend 1 | 17 | 29.4 | 3 |
Blend 1 | 13.9 | 30 | 3 |
Blend 3 | 16.4 | 29.6 | 1 |
Blend 1 | 10.4 | 29.6 | 2 |
Blend 2 | 3.2 | 29.9 | 2 |
Blend 2 | 1.9 | 28.9 | 2 |
Blend 2 | 7.3 | 28.6 | 1 |
Blend 4 | 17.8 | 30.8 | 3 |
Blend 2 | 9.6 | 30.8 | 3 |
Blend 4 | 22.9 | 28.9 | 1 |
Blend 4 | 17.4 | 30.6 | 3 |
Blend 3 | 13.3 | 29.8 | 3 |
Blend 1 | 19.3 | 30 | 1 |
Blend 1 | 16.1 | 29.9 | 3 |
Blend 3 | 6.5 | 30.6 | 2 |
Blend 1 | 11.7 | 30.1 | 3 |
Blend 4 | 16.9 | 30.7 | 3 |
Blend 4 | 18.4 | 29.9 | 1 |
Blend 3 | 11.9 | 29.5 | 2 |
Blend 2 | 14.5 | 29.9 | 1 |
Blend 3 | 16.8 | 29.9 | 3 |