An experiment was conducted to study growth characteristics of 8 different provenances (regions of natural occurrence)...

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An experiment was conducted to study growth characteristics of 8different provenances (regions of natural occurrence) of Gmelinaarborea (a tree native to southern Asia). There are three plotsavailable for planting, so one tree of each provenance is plantedin each plot. The response variable is the diameter of each tree(in centimeters) at breast height (1.4 meters above ground).
What type of design is being used in this experiment?
Perform the appropriate analysis to evaluate the differences inmean diameter at breast height of the eight provenances.
Which provenance(s), if any, has (have) largest mean diameter atbreast height?
Comment on the effectiveness of the design in increasing theefficiency of the experiment.
Provenance Plot Diameter
1 1 30.85
1 2 38.01
1 3 35.1
2 1 30.24
2 2 28.43
2 3 35.93
3 1 30.94
3 2 31.64
3 3 34.95
4 1 29.89
4 2 29.12
4 3 36.75
5 1 21.52
5 2 24.07
5 3 20.76
6 1 25.38
6 2 32.14
6 3 32.19
7 1 22.89
7 2 19.66
7 3 26.92
8 1 29.44
8 2 24.95
8 3 37.99

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We use two way analysis of varianceto evaluate the differences in mean diameter at breast height ofthe eight provenancesINFERENCEThe hypothesis is given bya The meandiameter of breast height for three different plot types aresame The meandiameter of breast height for at least two different plot typesdiffersb The meandiameter of breast height for eight different provenance See Answer

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Provenance	Plot	Diameter
1	1	30.85
1	2	38.01
1	3	35.1
2	1	30.24
2	2	28.43
2	3	35.93
3	1	30.94
3	2	31.64
3	3	34.95
4	1	29.89
4	2	29.12
4	3	36.75
5	1	21.52
5	2	24.07
5	3	20.76
6	1	25.38
6	2	32.14
6	3	32.19
7	1	22.89
7	2	19.66
7	3	26.92
8	1	29.44
8	2	24.95
8	3	37.99