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Chapter 4: Q. 72 (page 265)

In the cornfield An agriculture researcher wants to compare the yield of5corn varieties: A, B, C, D, and E. The field in which the experiment will be carried out increases in fertility from north to south. The researcher therefore divides the field into25plots of equal size, arranged in5east鈥搘est rows of5 plots each, as shown in the diagram.

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 gives more accurate results.

Step by step solution

01

Part (a) Step 1: Given Information

We are given that the experiment has to be conducted to test the fertilizers in such a way that the fertility should increase north to south and we have to find out the random block experiment.

02

Part (a) Step 2: Explanation

A randomized block of experiments means grouping the blocks into two or more than two that have similar characteristics and then randomly assigning each block a treatment. It will be done in such a way that a random block is assigned to fertilizer A and another random block is assigned to fertilizer B and another random block is assigned to fertilizer C and then the remaining other blocks are assigned equally to D and E and lastly, compare the yield of corn in each specific way with each block having each fertilizer.

03

Part (b) Step 1: Given Information

We are given that the experiment has to be conducted to test the fertilizers in such a way that the fertility should increase north to south and we have to find out the reason for using randomized block design.

04

Part (b) Step 2: Explanation

According to the question, twenty-five plots are used and five fertilizers (A, B, C, D, and E) have to be tested in such a way that the fertility increases from north to south. 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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a. What type of sample did the Parade survey obtain?

b. Explain why this sampling method is biased. Is 85%probably greater than or less than

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More testosterone Refer to Exercise 56. Could blinding be used in this experiment? Explain your reasoning. Why is blinding an important consideration in this context?

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different treatments. What is the most important reason for this random assignment?

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equivalent at the beginning of the experiment.

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Your statistics class has 30students. You want to ask an SRS of 5students from your class whether they use a mobile device for the online quizzes. You label the students 01,02,...,30. You enter the table of random digits at this line: 1445926056314248037165103622532249061181

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