Chapter 6.1, Problem 6.20E

(a)

To determine

To outline the design of the experiment.

Explanation of Solution

The outline of the design is as;

(b)

To determine

To assign the subjects to the treatment using table B.

Answer to Problem 6.20E

  $\begin{array}{l}\text{Group 1: }05,16,17,20,19,32,04,25,29.\\ \text{Group 2: }31,18,07,13,33,02,36,23,27.\\ \text{Group 3: }35,21,26,10,11,15,12,08,14.\\ \text{Group 4: }01,03,06,09,22,24,28,30,34.\end{array}$

Explanation of Solution

  $\begin{array}{l}\text{We assign a unique number between 1 and 36 to each subjects}\text{.}\\ \text{Acosta=1}\\ \text{Asihiro=2}\\ \text{and so on}\mathrm{..}\\ \text{Zhang=36}\\ \text{We will start at line 130 in Table B}\text{.}\\ \text{Select the first 2-digit number}\text{. If the number is between 01 and 36, then}\\ \text{the corresponding subjects are selected for first treatment group, else we ignore }\\ \text{the number and select the next 2-digit number}\text{. Repeat until 9 unique subjects are }\\ \text{selected for first treatment group}\text{.}\\ \text{Group 1: }05,16,17,20,19,32,04,25,29.\\ \text{Similarly, select the another 9 subjects for second treatment group:}\\ \text{Group 2: }31,18,07,13,33,02,36,23,27.\\ \text{Group 3: }35,21,26,10,11,15,12,08,14.\\ \text{Group 4: }01,03,06,09,22,24,28,30,34.\end{array}$