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 |
34 | 30 | 23 |
24 | 32 | 28 |
36 | 34 | 29 |
38 | 22 | 29 |
28 | 27 | 36 |
Construct an analysis of variance table. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.)
Source of Variation |
Sum of Squares |
Degrees of Freedom |
Mean Square |
F | p-value |
---|---|---|---|---|---|
Treatments | ? | ? | ? | ? | ? |
Error | ? | ? | ? | ||
Total | ? | ? |
Find the value of the test statistic. (Round your answer to two decimal places.)
________________.
Find the p-value. (Round your answer to four decimal places.)
p-value = __________.
using excel>data>data analysis >one factor anova
we have
Anova: Single Factor | |||||
SUMMARY | |||||
Groups | Count | Sum | Average | Variance | |
50°C | 5 | 160 | 32 | 34 | |
60°C | 5 | 145 | 29 | 22 | |
70°C | 5 | 145 | 29 | 21.5 | |
ANOVA | |||||
Source of Variation | SS | df | MS | F | P-value |
treatment | 30 | 2 | 15 | 0.58 | 0.5745 |
Error | 310 | 12 | 25.83 | ||
Total | 340 | 14 |
the value of the test statistic is 0.58
the p-value is 0.5745
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