Chapter 6.1, Problem 6.22E

(a)

To determine

To outline a better design for experiment and compare two methods of learning about economic market and suggest a response variable.

Answer to Problem 6.22E

The response variable will be the exam score.

Explanation of Solution

We have two sections of $30$ students. Let us split the two classes into groups of $15$ students each.

One of the two groups in each class will do online games while the other group will do the talks about the markets.

A response variable is a variable that measures an outcome or result of a study. The response variable will be the exam score.

The outline of the experiment is as follows:

(b)

To determine

To randomized your design using table B.

Answer to Problem 6.22E

  $\text{Group 1: }14,03,10,22,06,11,16,18,23,19,25,04,02,07,20.$

  $\text{Group 2: }01,05,08,09,12,13,15,17,21,24,26,27,28,29,30.$

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

Explanation of Solution

  $\begin{array}{l}\text{We assign a unique number between 1 and 30 to each student in the 8:30 A}\text{.M}\text{.}\\ \text{class}\text{.}\\ \text{We will start at line 116 in table B}\text{.}\\ \text{Select the first 2-digit number}\text{. If the number is between 01 and 30, then the corresponding}\\ \text{subjects is selected for the first treatment group, else we ignore the number and select}\\ \text{the next 2-digit number}\text{. Repeat until 15 unique subjects are selected for the first treatment}\\ \text{group}\text{.}\\ \text{thus,}\\ \text{Group 1: }14,03,10,22,06,11,16,18,23,19,25,04,02,07,20.\\ \text{The remaining 15 students of the class are in group 2:}\\ \text{Group 2: }01,05,08,09,12,13,15,17,21,24,26,27,28,29,30.\\ \text{Similarly, we will select the students for group 3 and 4 from the class at 2:30 P}\text{.M}\text{. }\\ \text{continuing from where we ended up in table B after selecting group 1}\text{.}\\ \text{Group 3: }26,04,21,19,29,07,22,10,25,13,15,05,09,08,27.\\ \text{Group 4: }01,02,03,06,11,12,14,16,17,18,20,23,24,28,30.\end{array}$