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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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Most popular questions from this chapter

The administration at a high school with 1800 students wants to gather student opinions about parking for students on campus. It isn鈥檛 practical to contact all students.

a. Give an example of a way to choose a voluntary response sample of students. Explain how this method could lead to bias.

b. Give an example of a way to choose a convenience sample of students. Explain how this method could lead to bias.

c. Describe how to select an SRSof50students from the school.

d. Explain how the method you described in part (c) avoids the biases you described in parts (a) and (b).

Killing weeds A biologist would like to determine which of two brands of weed killer, X or Y, is less likely to harm the plants in a garden at the university. Before spraying near the plants, the biologist decides to conduct an experiment using24individual plants. Which of the following two plans for randomly assigning the treatments should the biologist use? Why?

Plan A: Choose the12healthiest-looking plants. Then flip a coin. If it lands heads, apply Brand X weed killer to these plants and Brand Y weed killer to the remaining12plants. If it lands tails, do the opposite.

Plan B: Choose12of the24plants at random. Apply Brand X weed killer to those12plants and Brand Y weed killer to the remaining12plants.

Two essential features of all statistically designed experiments are

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Researchers randomly selected1700 people from Canada who had never suffered a

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Which of the following is the most

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a. Happiness causes better heart health for all people.

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e. Happier people in the study were less likely to have heart problems.

A simple random sample of 1200 adult Americans is selected, and each person is asked

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e. probably overstates the percent of people who favor sending humans to Mars.

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