13.38 An experiment is conducted in which 4 treat- ments are to be compared in 5 blocks. The data are given below. Block 2 10.6 Treatment 3 4 1 12.8 11.7 10.7 11.0 11.7 14.2 11.8 9.9 13.8 11.5 14.7 13.6 10.7 15.9 4 12.6 16.5 15.4 9.6 17.1 (a) Assuming a random effects model, test the hypoth- esis, at the 0.05 level of significance, that there is no difference between treatment means. (b) Compute estimates of the treatment and block vari- ance components. 2 34

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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13.38 An experiment is conducted in which 4 treat-
ments are to be compared in 5 blocks. The data are
given below.
Block
3
11.7 10.7 11.0
Treatment
2
4
5
12.8 10.6
11.7 14.2 11.8
9.9
13.8
3
4
11.5 14.7 13.6 10.7 15.9
12.6 16.5 15.4
9.6 17.1
(a) Assuming a random effects model, test the hypoth-
esis, at the 0.05 level of significance, that there is
no difference between treatment means.
(b) Compute estimates of the treatment and block vari-
ance components.
Transcribed Image Text:13.38 An experiment is conducted in which 4 treat- ments are to be compared in 5 blocks. The data are given below. Block 3 11.7 10.7 11.0 Treatment 2 4 5 12.8 10.6 11.7 14.2 11.8 9.9 13.8 3 4 11.5 14.7 13.6 10.7 15.9 12.6 16.5 15.4 9.6 17.1 (a) Assuming a random effects model, test the hypoth- esis, at the 0.05 level of significance, that there is no difference between treatment means. (b) Compute estimates of the treatment and block vari- ance components.
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