Chapter 4, Problem 16PT1

a.

To determine

To explain: The concept of completely randomized design using the provided districts to answer the provided question.

Explanation of Solution

Given:

The numbers are:

07511 88915 41267 16853 84569 79367 32337 03316

81486 69487 60513 09297 00412 71238 27649 39950

Assign the numbers between 01 to 60 to the provided 60 districts. Now, use a random digit number table select around 30 number and assign the monetary incentives to 30 districts. After some point of time observe the change in sales of each of the selected 30 group and make comparison of 30 groups.

b.

To determine

To apply: The method to assign treatments to 3 experimental units.

Explanation of Solution

Calculation:

Chose the starting 2-digit number and select the districts if they are having the numbers between 01 and 60 else ignore the districts and repeat the process.

Keep on repeating the process till 3 retail state districts are chosen.

  $\begin{array}{cc}\text{2-digit number}& \text{Selected retail sales district}\\ 07& \text{Select retail sales district 07}\\ 51& \text{Select retail sales district 51}\\ 18& \text{Select retail sales district 18}\end{array}$

The states having numbers 07, 51 and 18 are chosen.

c.

To determine

To make: The changes in design if the matched pair design is used instead of a completely random design.

Explanation of Solution

Select the two states that have the largest sales, the other to districts that have the largest sales. Now, select the district by flipping a coin. If head come up, assign the incentive to state. Keep on repeating this process and observe the changes by making comparisons with in each pair