Question

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.
Fields Smith Walsh Trevor
1 11.1 19.0 14.6
2 13.5 18.0 15.7
3 15.3 19.8 16.8
4 14.6 19.6 16.7
5 9.8 16.6 15.2
86) Referring to Scenario 11-6, the null hypothesis for the randomized block F test for the difference in
the means is
86)
A) H0: μField1 = μField2 = μField3 = μField4 = μField5
B) H0: μSmith = μWalsh = μTrevor
C) H0: MSmith = MWalsh = MTrevor
D) H0: MField1 = MField2 = MField3 = MField4 = MField5

Answer 1

null hypothesis for the randomized block F test for the difference in means will include the mean for smith, walsh and Trevor

Null hypothesis will assume that there is no difference in means

This means that the means for all 3 groups will be equal in null hypothesis

So, we can write

therefore, option B is correct

option A and D are incorrect because we want to comare the means for three groups

option C is incorrect because we use mu in null hypothesis, but not M