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In Rocky Mountain National Park, many mature pine trees along Highway 34 are dying due to infestation by pine beetles. Scientists would like to use a sample of size 200 to estimate the proportion of the approximately 5000 pine trees along the highway that have been infested. It is not practical to use an SRS in this setting. A possible alternative would be to use the first 200 pine trees along the highway as you enter the park. Why isn't this a good idea?
In Rocky Mountain National Park, many mature pine trees along Highway 34 are dying due to infestation by pine beetles. Scientists would like to use a sample of size 200 to estimate the proportion of the approximately 5000 pine trees along the highway that have been infested. It is not practical to use an SRS in this setting. A possible alternative would be to use the first 200 pine trees along the highway as you enter the park. Why isn't this a good idea?
Final answer:The approach of selecting the first 200 pine trees at the park's entrance introduces bias, hence it won't accurately reflect the situation for all 5000 trees along the highway. Random selection of the sample units, where all trees have equal chance of selection, would ensure a more representative and valid estimation.Explanation:While the method of simply selecting the first 200 pine trees along the highway as you enter the Rocky Mountain National Park might provide an easy way to gather data for estimation, it wouldn't yield a very accurate or representative sample of the entire population of approximately 5000 trees in consideration. This is because this method introduces abias. The trees at the entrance of the park could potentially be in significantly different conditions from those deeper within, possibly due to varying environmental exposures and maintenance practices, impacting the infestation rates.Good statistical practices advocate for arandom selectionof sampling units, so that each tree has an equal chance of being selected. This way, the sample will be representative of the population and the estimates derived would have higher validity. In this case, it could involve randomly selecting 200 trees spread across the entire highway.Learn more about Sampling Bias here:brainly.com/question/4503048#SPJ12...