TABLE 11-6
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants all 3 varieties of the seeds on each of 5 different patches of fields. She then measures the crop yield in bushels per acre. Treating this as a randomized block design, the results are presented in the table that follows.
-Referring to Table 11-6, what is the null hypothesis for testing the block effects?
A) H₀: μFᵢₑld₁ = μFᵢₑld₂ = μFᵢₑld₃ = μFᵢₑld₄ = μFᵢₑld₅
B) H₀: μSmᵢth = μWₐlsh = μTᵣₑᵥₒᵣ
C) H₀: MFᵢₑld₁ = MFᵢₑld₂ = MFᵢₑld₃ = MFᵢₑld₄ = MFᵢₑld₅
D) H₀: MSmᵢth = MWₐlsh = MTᵣₑᵥₒᵣ

Question

TABLE 11-6
An agronomist wants to compare the crop yield of 3 varieties of chickpea seeds. She plants all 3 varieties of the seeds on each of 5 different patches of fields. She then measures the crop yield in bushels per acre. Treating this as a randomized block design, the results are presented in the table that follows. 
-Referring to Table 11-6, what is the null hypothesis for testing the block effects?
A) H₀: μFᵢₑld₁ = μFᵢₑld₂ = μFᵢₑld₃ = μFᵢₑld₄ = μFᵢₑld₅ 
B) H₀: μSmᵢth = μWₐlsh = μTᵣₑᵥₒᵣ 
C) H₀: MFᵢₑld₁ = MFᵢₑld₂ = MFᵢₑld₃ = MFᵢₑld₄ = MFᵢₑld₅ 
D) H₀: MSmᵢth = MWₐlsh = MTᵣₑᵥₒᵣ

Quizplus · Accepted Answer

The null hypothesis for testing the block effects is the hypothesis that there is no significant difference in crop yield between the different patches of fields. This can be expressed as H₀: μFᵢₑld₁ = μFᵢₑld₂ = μFᵢₑld₃ = μFᵢₑld₄ = μFᵢₑld₅, where μFᵢₑld represents the mean yield for each patch of field. Therefore, choice A is the correct answer. Choices B, C, and D are not relevant to this design.

TABLE 11-6 An Agronomist Wants to Compare the Crop Yield of 3