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 35 30 30 25 31 35 37 34 35 40 23 37 33 27 38 a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary).
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 35 30 30 25 31 35 37 34 35 40 23 37 33 27 38 a. Construct an analysis of variance table (to 2 decimals but p-value to 4 decimals, if necessary).
MATLAB: An Introduction with Applications
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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 |
||||
50°C | 60°C | 70°C | ||
35 | 30 | 30 | ||
25 | 31 | 35 | ||
37 | 34 | 35 | ||
40 | 23 | 37 | ||
33 | 27 | 38 |
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 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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