10.3) The following data refers to yield of tomatoes (kg/plot) for four different levels of salinity. Salinity level here refers to electrical conductivity (EC), where the chosen levels were EC = 1.6, 3.8, 6.0, and 10.2 nmhos/cm. (Use i = 1, 2, 3, and 4 respectively.)
1.6: | 59.2 | 53.7 | 56.3 | 63.8 | 58.6 |
3.8: | 55.2 | 59.6 | 52.2 | 54.5 | |
6.0: | 51.3 | 48.9 | 53.4 | 48.5 | |
10.2: | 44.6 | 48.3 | 41.2 | 47.7 | 46.9 |
Calculate the test statistic. (Round your answer to two decimal places.)
f=
The statistical software output for this problem is:
Analysis of Variance results:
Data stored in separate columns.
Column statistics
Column | n | Mean | Std. Dev. | Std. Error |
---|---|---|---|---|
1.6 | 5 | 58.32 | 3.7519328 | 1.6779154 |
3.8 | 4 | 55.375 | 3.0944843 | 1.5472422 |
6 | 4 | 50.525 | 2.2808989 | 1.1404495 |
10.2 | 5 | 45.74 | 2.9005172 | 1.2971507 |
ANOVA table
Source | DF | SS | MS | F-Stat | P-value |
---|---|---|---|---|---|
Columns | 3 | 446.44778 | 148.81593 | 15.513779 | <0.0001 |
Error | 14 | 134.295 | 9.5925 | ||
Total | 17 | 580.74278 |
Hence,
Test statistic = 15.51
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