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Chapter 4: Q. 71 (page 265)

A fruitful experiment A citrus farmer wants to know which of three fertilizers (A, B, and C) is most effective for increasing the number of oranges on his trees. He is willing to use30 mature trees of various sizes from his orchard in an experiment with a randomized block design.

a. Describe a randomized block design for this experiment. Justify your choice of blocks.

b. Explain why a randomized block design might be preferable to a completely randomized design for this experiment.

Short Answer

Expert verified

(a) A randomized block experiment is a way in which a block can be randomly assigned to anyone but has similar characteristics.

(b) A randomized block design is preferred because it give more accurate results.

Step by step solution

01

Part (a) Step 1: Given Information

We are given that the experiment has thirty mature trees and has to be divided into three fertilizers, A, B, and C and we have to find out how thirty trees can be divided randomly.

02

Part (a) Step 2: Explanation

According to the question, thirty trees can be divided randomly in such a way that they should have common characteristics. It can be done in such a way that one third can go to A, the other one third can go to B, and the last one third can go to C. Also compare the oranges on each block that are trees and the oranges on which fertilizer is used.

03

Part (b) Step 1: Given Information

We are given that the experiment has thirty mature trees and has to be divided into three fertilizers, A, B, and C and we have to find out the reason of using randomized block design.

04

Part (b) Step 2: Explanation

According to the question, thirty trees are used and three fertilizers have to be tested to find which is the best one. So, for that, we can choose the trees randomly for the use of different fertilizers in such a way that other factors will not be able to affect the results of the experiment.

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