Chapter 6.2, Problem 6.39E

(a)

To determine

To draw a sketch of the field, divided into thirty plots and label the rows as blocks.

Explanation of Solution

  $\begin{array}{l}\text{A field is divided into 30 plots}\text{.}\\ \text{The plots are arranged in 6 east-west rows of 5 plots each}\text{.}\\ \text{The plots should be of equal size}\text{.}\end{array}$

Plot 1	Plot 7	Plot 13	Plot 19	Plot 25	Block 1
Plot 2	Plot 8	Plot 14	Plot 20	Plot 26	Block 2
Plot 3	Plot 9	Plot 15	Plot 21	Plot 27	Block 3
Plot 4	Plot 10	Plot 16	Plot 22	Plot 28	Block 4
Plot 5	Plot 11	Plot 17	Plot 23	Plot 29	Block 5
Plot 6	Plot 12	Plot 18	Plot 24	Plot 30	Block 6

(b)

To determine

To describe the randomization required by the block design.

Explanation of Solution

  $\begin{array}{l}\text{I will start from line 120 in table B}\text{.}\\ \text{Select the first 2-digit number}\text{. If the number is between 01 and 30, then select the}\\ \text{corresponding plot for variety A, else ignore the number and select the next 2-digit}\\ \text{number}\text{. Repeat until 1 plot from each block was selected}\text{.}\\ \text{Variety A: 16,26,21,19,29,30}\text{.}\\ \text{Similarly,}\\ \text{Variety B: 28,18,03,01,23,08}\text{.}\\ \text{Variety C: 25,11,15,06,20,04}\text{.}\\ \text{Variety D: 07,02,05,27,10,12}\text{.}\\ \text{Variety E: 13,14,09,22,17,24}\text{.}\end{array}$