In: Statistics and Probability
Gardeners all have their favorite plant varieties and soil conditions. A local horticulture student decides to systematically vary variety and soil conditions to see which plants produce the most produce under those various conditions. He tries two different types of tomatoes and three different soil conditions and reports the number of tomatoes taken from each plant. There are 24 total plants. The numbers of tomatoes taken from each plant are presented below. Use the steps of hypothesis testing for ANOVA, and set alpha at .05. If it is appropriate to conduct a Tukey’s hypothesis test, the HSDCRIT = 3.02.
Heirloom Black Beauty Beefsteak
Plain soil: Σ = 26 Σ = 34
Σ2 = 174 Σ2 = 348
M = 6.5 M = 8.5
Soil with compost: Σ = 52 Σ = 38
Σ2 = 686 Σ2 = 366
M = 13 M = 9.5
Aquaponics (no soil): Σ = 70 Σ = 40
Σ2 = 1238 Σ2 = 408
M = 17.5 M = 10