22. An experiment on the growth of tomato plants involved three substances A, B, C, added to the irrigation water. A 23 factorial experiment was uses where each substance is a factor with two levels, absent and present. Four replications were carries out and the treatments totals of the growth results are as follows (1) a b ab ас bc abc total 180.1 186.1 167.8 235.2 176.8 210.1 192.6 262.5 1611.2 (Sum of the squares of the individual observations 83611.86) a) Analyze the data, testing for interactions and the main effects. )Construct 95% confidence intervals for the effects of the three ubstances.

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22. An experiment on the growth of tomato plants involved three
substances A, B, C, added to the irrigation water. A 23 factorial
experiment was uses where each substance is a factor with two
levels, absent and present. Four replications were carries out and the
treatments totals of the growth results are as follows
(1)
a
b
ab
C
ac
bc
abc
total
180.1 186.1 167.8 235.2 176.8 210.1 192.6 262.5 1611.2
(Sum of the squares of the individual observations = 83611.86)
(a) Analyze the data, testing for interactions and the main effects.
(b) Construct 95% confidence intervals for the effects of the three
substances.
(c) From part (b) together with examining relevant interactions, which
substance(s) do you recommend for use?
Transcribed Image Text:22. An experiment on the growth of tomato plants involved three substances A, B, C, added to the irrigation water. A 23 factorial experiment was uses where each substance is a factor with two levels, absent and present. Four replications were carries out and the treatments totals of the growth results are as follows (1) a b ab C ac bc abc total 180.1 186.1 167.8 235.2 176.8 210.1 192.6 262.5 1611.2 (Sum of the squares of the individual observations = 83611.86) (a) Analyze the data, testing for interactions and the main effects. (b) Construct 95% confidence intervals for the effects of the three substances. (c) From part (b) together with examining relevant interactions, which substance(s) do you recommend for use?
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