A plastic injection molding process is often used in manufacturing because of its ability to mold complicated shapes. An experiment was conducted on the manufacture of a television remote part, and the warpage (mm) of the part was measured and stored in TVRemote. (Data extracted from M. A. Barghash and F. A. Alkaabneh, “Shrinkage and Warpage Detailed Analysis and Optimization for the Injection Molding Process Using Multistage Experimental Design,” Quality Engineering, 26, 2014, pp. 319–334.) Two factors were to be considered, the filling time (1, 2, or 3 sec) and the mold temperature (60, 72.5, or 85° C). ▪ You need to download file “TVRemote”.

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TABLE 2

 

 

A plastic injection molding process is often used in manufacturing because of its ability to mold complicated

shapes. An experiment was conducted on the manufacture of a television remote part, and the warpage (mm) of the part was measured and stored in TVRemote. (Data extracted from M. A. Barghash and F. A. Alkaabneh, “Shrinkage and Warpage Detailed Analysis and Optimization for the Injection Molding Process Using Multistage Experimental

Design,” Quality Engineering, 26, 2014, pp. 319–334.) Two factors were to be considered, the filling time (1, 2, or 3 sec) and the mold temperature (60, 72.5, or 85° C).

▪ You need to download file “TVRemote”.

 

 

### Temperature and Filling Time Data Analysis

#### Data Table

The following table presents the data on filling time (in arbitrary units) measured at three different temperatures: 60 degrees, 72.5 degrees, and 85 degrees. The filling time is documented across various time intervals, which may represent different experimental conditions or repetitions.

| **Filling Time (seconds)** | **60 Degrees** | **72.5 Degrees** | **85 Degrees** |
|:---------------------------:|:--------------:|:----------------:|:--------------:|
| 1                            | 0.2438         | 0.2528           | 0.2512         |
| 1                            | 0.2613         | 0.2528           | 0.2512         |
| 1                            | 0.4985         | 0.2529           | 0.2510         |
| 2                            | 0.2486         | 0.2449           | 0.2544         |
| 2                            | 0.3110         | 0.2681           | 0.2542         |
| 2                            | 0.5205         | 0.4903           | 0.2902         |
| 3                            | 0.5523         | 0.2999           | 0.2468         |
| 3                            | 1.0395         | 0.8882           | 0.2497         |
| 3                            | 1.3801         | 1.2200           | 0.2995         |

#### Explanation of the Data
The data in the table can be analyzed to understand the effect of temperature on filling time under similar conditions. Each row represents a set of measurements taken at each specified temperature.

##### Notes:
1. The filling time increases as the temperature changes, illustrating the influence of temperature on the process duration.
2. The consistency and variance in the measurements can indicate the reliability of the setup and potential experimental errors.

#### Additional Analysis
- **Trends and Patterns:** Observing the variations in filling time at different temperatures might highlight optimal temperature ranges for particular processes.
- **Comparative Analysis:** By comparing the average filling times at each temperature, one can deduce which temperature offers the most efficient filling process.

Understanding such data is crucial for optimizing industrial operations, quality control
Transcribed Image Text:### Temperature and Filling Time Data Analysis #### Data Table The following table presents the data on filling time (in arbitrary units) measured at three different temperatures: 60 degrees, 72.5 degrees, and 85 degrees. The filling time is documented across various time intervals, which may represent different experimental conditions or repetitions. | **Filling Time (seconds)** | **60 Degrees** | **72.5 Degrees** | **85 Degrees** | |:---------------------------:|:--------------:|:----------------:|:--------------:| | 1 | 0.2438 | 0.2528 | 0.2512 | | 1 | 0.2613 | 0.2528 | 0.2512 | | 1 | 0.4985 | 0.2529 | 0.2510 | | 2 | 0.2486 | 0.2449 | 0.2544 | | 2 | 0.3110 | 0.2681 | 0.2542 | | 2 | 0.5205 | 0.4903 | 0.2902 | | 3 | 0.5523 | 0.2999 | 0.2468 | | 3 | 1.0395 | 0.8882 | 0.2497 | | 3 | 1.3801 | 1.2200 | 0.2995 | #### Explanation of the Data The data in the table can be analyzed to understand the effect of temperature on filling time under similar conditions. Each row represents a set of measurements taken at each specified temperature. ##### Notes: 1. The filling time increases as the temperature changes, illustrating the influence of temperature on the process duration. 2. The consistency and variance in the measurements can indicate the reliability of the setup and potential experimental errors. #### Additional Analysis - **Trends and Patterns:** Observing the variations in filling time at different temperatures might highlight optimal temperature ranges for particular processes. - **Comparative Analysis:** By comparing the average filling times at each temperature, one can deduce which temperature offers the most efficient filling process. Understanding such data is crucial for optimizing industrial operations, quality control
### Analysis and Conclusions at the 0.01 Significance Level

When referring to Table 2 and assessing the analysis at the 0.01 significance level, the following conclusions can be derived:

1. **At the 0.01 level, there is insufficient evidence of a difference in warpage due to the filling time.**
    - This indicates that the analysis did not find a statistically significant difference in warpage that could be attributed to variations in the filling time.

2. **At the 0.01 level, there is insufficient evidence of a difference in warpage due to the mold temperature.**
    - This suggests that the data does not support a statistically significant difference in warpage resulting from changes in the mold temperature.

3. **At the 0.01 level, there is evidence of a difference in warpage due to the mold temperature.**
    - Contrary to the previous point, this suggests significant findings indicating that mold temperature does indeed affect the warpage, confirming a noticeable difference within this specific context.

4. **At the 0.01 level, there is sufficient evidence of interaction between filling time and mold temperature.**
    - This implies that when considering both filling time and mold temperature together, the data shows a statistically significant interaction effect on the warpage.

### Explanation

Each of the points (1), (2), (3), and (4) depicts a different aspect of the statistical analysis regarding warpage. They refer to specific factors and their interactions, showing whether these factors alone or combined significantly affect the outcome. The context provided by "Table 2" would contain the relevant data or results from an experiment or study to support these interpretations. 

### Visual Aids

This description assumes the presence of applicable data in "Table 2," which is referenced to derive each conclusion. If this were accompanied by graphs or diagrams, each might depict:

- **Bar/Line Graphs** for Showing Warpage:
    - One set could illustrate warpage against filling time.
    - Another set could depict warpage against mold temperature.

- **Interaction Graphs**:
    - A graph showing combined effects of filling time and mold temperature on warpage, illustrating interaction effects.

These visual aids would help in understanding the statistical analysis and conclusions drawn from it at a glance.
Transcribed Image Text:### Analysis and Conclusions at the 0.01 Significance Level When referring to Table 2 and assessing the analysis at the 0.01 significance level, the following conclusions can be derived: 1. **At the 0.01 level, there is insufficient evidence of a difference in warpage due to the filling time.** - This indicates that the analysis did not find a statistically significant difference in warpage that could be attributed to variations in the filling time. 2. **At the 0.01 level, there is insufficient evidence of a difference in warpage due to the mold temperature.** - This suggests that the data does not support a statistically significant difference in warpage resulting from changes in the mold temperature. 3. **At the 0.01 level, there is evidence of a difference in warpage due to the mold temperature.** - Contrary to the previous point, this suggests significant findings indicating that mold temperature does indeed affect the warpage, confirming a noticeable difference within this specific context. 4. **At the 0.01 level, there is sufficient evidence of interaction between filling time and mold temperature.** - This implies that when considering both filling time and mold temperature together, the data shows a statistically significant interaction effect on the warpage. ### Explanation Each of the points (1), (2), (3), and (4) depicts a different aspect of the statistical analysis regarding warpage. They refer to specific factors and their interactions, showing whether these factors alone or combined significantly affect the outcome. The context provided by "Table 2" would contain the relevant data or results from an experiment or study to support these interpretations. ### Visual Aids This description assumes the presence of applicable data in "Table 2," which is referenced to derive each conclusion. If this were accompanied by graphs or diagrams, each might depict: - **Bar/Line Graphs** for Showing Warpage: - One set could illustrate warpage against filling time. - Another set could depict warpage against mold temperature. - **Interaction Graphs**: - A graph showing combined effects of filling time and mold temperature on warpage, illustrating interaction effects. These visual aids would help in understanding the statistical analysis and conclusions drawn from it at a glance.
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