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 60°C 70°C 33 28 25 23 29 30 35 32 30 38 21 32 31 25 33 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 proce Calculate the value of the test statistic (to 2 decimals). The p-value is - Select your answer - What is your conclusion? - Select your answer -

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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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**

\[
\begin{array}{|c|c|c|}
\hline
50^\circ C & 60^\circ C & 70^\circ C \\
\hline
33 & 28 & 25 \\
23 & 29 & 30 \\
35 & 32 & 30 \\
38 & 21 & 32 \\
31 & 25 & 33 \\
\hline
\end{array}
\]

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).

- [Input Box for Test Statistic]

The *p*-value is 
- [Dropdown for Selecting Answer]

What is your conclusion?
- [Dropdown for Selecting Answer]
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** \[ \begin{array}{|c|c|c|} \hline 50^\circ C & 60^\circ C & 70^\circ C \\ \hline 33 & 28 & 25 \\ 23 & 29 & 30 \\ 35 & 32 & 30 \\ 38 & 21 & 32 \\ 31 & 25 & 33 \\ \hline \end{array} \] 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). - [Input Box for Test Statistic] The *p*-value is - [Dropdown for Selecting Answer] What is your conclusion? - [Dropdown for Selecting Answer]
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