An experiment was conducted to determine the effect of type of fertilizer on the growth of a certain plant. Three types of fertilizers were tried. The data for growth of the plants (cm) measured after 3 months from the date of seedling is given 1 12.4 13.1 11.1 12.2 11.3 12.1 Type of fertilizer 2 16.1 16.4 17.2 16.6 17.1 16.8 3 31.5 30.4 31.6 32.1 31.8 30.9 Dr. Asieh Abtahi-Faculty of Mathematics and Statistics- Islamic Azad University of Shiraz-Iran (a) Determine the response variable, factors (kind of factor), level, number of treatments, number of replications, number of experiments. (b) Determine the type of design experiment. (c) Write the model of design experiment. (e) Test whether the type of fertilizer has an effect on the growth of the plants. Use α = 0.05. (f) Construct a 99 percent confidence interval estimate of the mean response for fertilizer 2 (g) Which fertilizer have different effect? h-Use Tukey's test to compare pairs of treatment means. Use α = 0.01.

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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An experiment was conducted to determine the effect of type of fertilizer on the growth
of a certain plant. Three types of fertilizers were tried. The data for growth of the plants
(cm) measured after 3 months from the date of seedling is given
1
12.4
13.1
11.1
12.2
11.3
12.1
Type of fertilizer
2
16.1
16.4
17.2
16.6
17.1
16.8
3
31.5
30.4
31.6
32.1
31.8
30.9
Dr. Asieh Abtahl-Faculty of Mathematics and Statistics -
Islamic Azad University of Shiraz-Iran
(a)
Determine the response variable, factors (kind of factor), level, number of treatments,
number of replications, number of experiments.
(b) Determine the type of design experiment.
(c) Write the model of design experiment.
(e) Test whether the type of fertilizer has an effect on the growth of the plants. Use
α = 0.05.
(f) Construct a 99 percent confidence interval estimate of
the mean response for fertilizer 2
(g) Which fertilizer have different effect?
h- Use Tukey's test to compare pairs of treatment means. Use α = 0.01.
Transcribed Image Text:An experiment was conducted to determine the effect of type of fertilizer on the growth of a certain plant. Three types of fertilizers were tried. The data for growth of the plants (cm) measured after 3 months from the date of seedling is given 1 12.4 13.1 11.1 12.2 11.3 12.1 Type of fertilizer 2 16.1 16.4 17.2 16.6 17.1 16.8 3 31.5 30.4 31.6 32.1 31.8 30.9 Dr. Asieh Abtahl-Faculty of Mathematics and Statistics - Islamic Azad University of Shiraz-Iran (a) Determine the response variable, factors (kind of factor), level, number of treatments, number of replications, number of experiments. (b) Determine the type of design experiment. (c) Write the model of design experiment. (e) Test whether the type of fertilizer has an effect on the growth of the plants. Use α = 0.05. (f) Construct a 99 percent confidence interval estimate of the mean response for fertilizer 2 (g) Which fertilizer have different effect? h- Use Tukey's test to compare pairs of treatment means. Use α = 0.01.
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