A sample of 15 maple trees in Vermont were treated with one of three amounts of fertilizer, Low (group 1), Medium (group 2) and High (group 3). The volume in sap (measured in mL) produced by each tree was recorded, and a Single-Factor ANOVA test was performed, which ended up rejecting . The Summary table and the ANOVA table produced by Excel are given below:
A sample of 15 maple trees in Vermont were treated with one of three amounts of fertilizer, Low (group 1), Medium (group 2) and High (group 3). The volume in sap (measured in mL) produced by each tree was recorded, and a Single-Factor ANOVA test was performed, which ended up rejecting . The Summary table and the ANOVA table produced by Excel are given below:
| SUMMARY | ||||
| Groups | Count | Sum | Average | Variance |
| Low | 5 | 398.1 | 79.62 | 27.572 |
| Medium | 5 | 477.2 | 95.44 | 3.703 |
| High | 5 | 445.1 | 89.02 | 11.357 |
| ANOVA | ||||
| Source of Variation | SS | df | MS | F |
| Between Groups | 633.0813333 | 2 | 316.5406667 | 22.27486395 |
| Within Groups | 170.528 | 12 | 14.21066667 | |
| Total | 803.6093333 | 14 |
If you follow up the ANOVA test with a FORMAL Fisher's LSD Pairwise Comparison (PWC) test on , then use the information provided in the Excel-generated output to calculate the value of the Test Statistic (TS) that you would use to perform this PWC test. Round off your final answer to the fourth decimal place.
The numerical value of the TS in this PWC test, rounded off as instructed, is: Blank 1. Fill in the blank, read surrounding text.
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