(a) Perform a hypothesis test to asses whether or not the yield of peas was affected by the study Block the Pea plant was placed in. Interpret your results. (b) Perform a hypothesis test to assess if there were differences across the Phosphorous (P) and Nitrogen supplementation (N) variable, and if these two variables interact. (c) Perform pairwise-comparisons for the groups in part b). (d) Construct a plot to show how yield varies with fertilizer treatment (N,P) and any interaction effects.   block N P K yield 1 1 0 1 1 49.5 2 1 1 1 0 62.8 3 1 0 0 0 46.8 4 1 1 0 1 57 5 2 1 0 0 59.8 6 2 1 1 1 58.5 7 2 0 0 1 55.5 8 2 0 1 0 56 9 3 0 1 0 62.8 10 3 1 1 1 55.8 11 3 1 0 0 69.5 12 3 0 0 1 55 13 4 1 0 0 62 14 4 1 1 1 48.8 15 4 0 0 1 45.5 16 4 0 1 0 44.2 17 5 1 1 0 52 18 5 0 0 0 51.5 19 5 1 0 1 49.8 20 5 0 1 1 48.8 21 6 1 0 1 57.2 22 6 1 1 0 59 23 6 0 1 1 53.2 24 6 0 0 0 56

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ISBN:9781119256830
Author:Amos Gilat
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(a) Perform a hypothesis test to asses whether or not the yield of peas was affected by the study Block the Pea plant was placed in. Interpret your results.

(b) Perform a hypothesis test to assess if there were differences across the Phosphorous (P) and Nitrogen supplementation (N) variable, and if these two variables interact.

(c) Perform pairwise-comparisons for the groups in part b).

(d) Construct a plot to show how yield varies with fertilizer treatment (N,P) and any interaction effects.

  block N P K yield
1 1 0 1 1 49.5
2 1 1 1 0 62.8
3 1 0 0 0 46.8
4 1 1 0 1 57
5 2 1 0 0 59.8
6 2 1 1 1 58.5
7 2 0 0 1 55.5
8 2 0 1 0 56
9 3 0 1 0 62.8
10 3 1 1 1 55.8
11 3 1 0 0 69.5
12 3 0 0 1 55
13 4 1 0 0 62
14 4 1 1 1 48.8
15 4 0 0 1 45.5
16 4 0 1 0 44.2
17 5 1 1 0 52
18 5 0 0 0 51.5
19 5 1 0 1 49.8
20 5 0 1 1 48.8
21 6 1 0 1 57.2
22 6 1 1 0 59
23 6 0 1 1 53.2
24 6 0 0 0 56
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