To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow Temperature 60°C 35 36 39 28 32 50°C 33 23 35 38 31 Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary). Source of Variation Sum of Squares Degrees of Freedom Mean Square F Treatments Error Total p-value The p-value is - Select your answer - What is your conclusion? ✓ - Select your answer - Conclude that the mean yields for the three temperatures are not all equal Do not reject the assumption that the mean yields for the three temperatures are equal 70°C 23 28 28 30 31 Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. Calculate the value of the test statistic (to 2 decimals).

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To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow.

**Temperature**
- **50°C**: 33, 23, 35, 38, 31
- **60°C**: 35, 36, 39, 28, 32
- **70°C**: 23, 28, 28, 30, 31

Construct an analysis of variance table (to 2 decimals but *p*-value to 4 decimals, if necessary).

| Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value |
|---------------------|----------------|--------------------|-------------|---|---------|
| Treatments          |                |                    |             |   |         |
| Error               |                |                    |             |   |         |
| Total               |                |                    |             |   |         |

Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.

Calculate the value of the test statistic (to 2 decimals).

The *p*-value is - Select your answer -

What is your conclusion?
- Select your answer -
  - Conclude that the mean yields for the three temperatures are not all equal
  - Do not reject the assumption that the mean yields for the three temperatures are equal
Transcribed Image Text:To study the effect of temperature on yield in a chemical process, five batches were produced at each of three temperature levels. The results follow. **Temperature** - **50°C**: 33, 23, 35, 38, 31 - **60°C**: 35, 36, 39, 28, 32 - **70°C**: 23, 28, 28, 30, 31 Construct an analysis of variance table (to 2 decimals but *p*-value to 4 decimals, if necessary). | Source of Variation | Sum of Squares | Degrees of Freedom | Mean Square | F | p-value | |---------------------|----------------|--------------------|-------------|---|---------| | Treatments | | | | | | | Error | | | | | | | Total | | | | | | Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process. Calculate the value of the test statistic (to 2 decimals). The *p*-value is - Select your answer - What is your conclusion? - Select your answer - - Conclude that the mean yields for the three temperatures are not all equal - Do not reject the assumption that the mean yields for the three temperatures are equal
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