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Sampling the forestTo gather data on a 1200-acre pine forest in Louisiana, the U.S. Forest Service laid a grid of 1410equally spaced circular plots over a map of the forest. A ground survey visited a sample of 10%of the plots.

a. Explain how you would use a random number generator to choose an SRS of 141plots. Your description should be clear enough for a classmate to carry out your plan.

b. Use your method from part (a) to choose the first 3plots.

Short Answer

Expert verified

a. The random number generator will assist in the selection of an SRS of 141plots

b. we will choose the first three four-digit numbers from the 141plots listed above to determine the first three plots of the 1200-acre pine forest in the United States.

Step by step solution

01

Part (a) Step 1 : Given Information

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

02

Part (a) Step 2 : Simplification

Foresters were interested in using remote sensing to analyse a pine forest instead of collecting measurements on the ground.

To make an SRS using 141plots, start with 125and work your way up to 135, 145, and so on. Once you reach 1405, repeat steps 5through 15until you reach 125, resulting in a sample size of 141.

As a result, this random number generator will assist in the selection of an SRS of 141plots.

03

Part (b) Step 1 : Given Information

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

04

Part (b) Step 2 : Simplification

The SRS of 141plots is chosen using a random numbers generator based on the above component (a).

Thus, we will choose the first three four-digit numbers from the 141plots listed above to determine the first three plots of the 1200-acre pine forest in the United States. As a result, any three four-digit numbers from the sample of 141in part (a) above are chosen.

Consider the following plots: 0005, 0015, and 0025, which were picked from a total of 141plots.

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