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Chapter 1: Problem 45

State whether or not the sampling method described produces a random sample from the given population. The population is all trees in a forest. We walk through the forest and pick out trees that appear to be representative of all the trees in the forest.

Short Answer

Expert verified
No, the described method does not yield a random sample as not every tree had an equal probability of being chosen.

Step by step solution

01

Evaluate the sampling method

In this case, it is stated that someone walks through the forest and picks out trees that appear to be representative of all the trees in the forest. This method is based on a person's judgement, not a random selection process. As this involves personal judgement, there will inevitably be some bias, either unconscious or not. In fact, some parts of the forest might not even be reached or considered in the sampling process.
02

Compare with the definition of a random sample

A random sample would involve each member of the population, i.e., each tree in the forest, having an equal chance of being selected. We would have to number all the trees or use some type of random generating process to choose the trees for our sample in a truly random way. This is clearly not the method being used here.

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