Question

One-way ANOVA To study the effects of 4 types of fertilizers on biomass of aspen trees, we tested aspen seedlings in 20 plots. Each fertilizer was applied to 4 plots randomly. The experimental data of aspen biomass yields are shown below TreatmentsFertilizers Biomass X Sub-total Control 67 98 60 79 90 67 96 69 64 70 42 91 50 80 79 231 351 214 293 327 K2O +P205 35 N + P205 70 Let's use X1, X2, , Xs represent the biomass yields under the control and 4 fertilizer treatment conditions. If we assume Xi ~ N(, δ*) where i = 1,2,3,4,5. The Ho 11 = μ,-μ,-μ4 = μ5. Do you think the fertilizers have effects on biomass yield of aspen trees? Please use α = 0.01

Answer 1

Using Excel

Data Analysis ----------> anova (single factor )

$Ho:\mu 1=\mu2=\mu3 =\mu4$ Vs   $H1:\mu 1\neq \mu2\neq \mu3 \neq \mu4$

Conclusion - You can see here P-value=0.0038 is less than 0.01 so we Reject the null hypothesis (Ho)

that means all means are not equal .