A horticulturist is designing a study to investigate the effectiveness of five m

Question

A horticulturist is designing a study to investigate the effectiveness of five methods for the irrigation of blueberry shrubs. The methods are surface, trickle, center pivot, lateral move, and subirrigation. There are 10 blueberry farms available for the study representing a wide variety of types of soil, terrains, and wind gradients. The horticulturist wants to use each of the five methods of irrigation on all 10 farms to moderate the effect of the many extraneous sources of variation that may impact the blueberry yields. Each farm is divided into five and the response variable will be the weight of the harvested fruit from each of the plots of blueberry shrubs. Method of Irrigation Farm Surface Trickle Center Point Lateral Subirrigation Farm Mean 350 370 460 452 343 401.9 456.6 478.9 493.9 430.9 408.7 470.8 500.0 5073 493.2 464.2 97248 636 382 423 461 391 492 603 366 649 258 512 321 588 423 689 406 580 449 464 457 406 Method ys400 5020340 Method Mcan 6163 353.2 327 378 419 458 389.6 526 469 559 10 608 464.3 497.6 Tvo-way ANOVA: Yield veraus Method, Parm Source DP Method 4 421560 105390 61.10 0.000 Farm Brror 36 62097 1725 Total49 549975 SS MS F 9 66318 7369 4.27 0.001 g-41.53 R-Sq" 88.71% R-Sqtadj) 84.63% ,

Explanation / Answer

(a) residual Vs fitted is scattered showing radomness and points are concentrated on diagonal line showing fulfilment of normality

(b)answer of this part is S=41.53

(c) required standared error=sqrt(2*MSE/r)=sqrt(2*1725/10)=18.57

here r=each method is replicated=10 times

(d)since p-value of the F of the method is 0.000, and it is less than alpha=0.05, so irrigation method is significant

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