Chapter 4.1, Problem 13E

(a)

To determine

To explain how would use a random number generator to choose an SRS of $141$ plots.

Explanation of Solution

Given that foresters were interested in studying a remote sensing measure of pine forest as an alternative to taking measurements on the ground.

To generate an SRS of $141$ plots,

Here you will start with $125$ and then choose $135,145$ ,….and so on. Once you reach 1405, you will again start from $5,15$ ,….till you reach $125$ , which will make a sample size of $141$ .

Thus, this random number generator will help to choose an SRS of $141$ plots.

(b)

To determine

To use your method from part (a) to choose the first three plots.

Explanation of Solution

From the above part (a) the SRS of $141$ plots are selected using random numbers generator.

Thus, from the above $141$ plots we will select the first three four-digits numbers to find out the first three plots of the $1200$ -acre pine forest in U.S. Thus, any first three four-digit numbers selected from the sample of $141$ from part (a) above is chosen.

For example we consider that, $0005,0015,0025$ are chosen from the sample of $141$ plots.