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 31 28 27 21 29 32 33 32 32 36 21 34 29 25 35 a. 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 b. Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.
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 31 28 27 21 29 32 33 32 32 36 21 34 29 25 35 a. 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 b. Use a 0.05 level of significance to test whether the temperature level has an effect on the mean yield of the process.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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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 | 60°C | 70°C | ||
| 31 | 28 | 27 | ||
| 21 | 29 | 32 | ||
| 33 | 32 | 32 | ||
| 36 | 21 | 34 | ||
| 29 | 25 | 35 |
a. 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 |
b. 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
What is your conclusion? _____________
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