To assess the quality of a water testing method, researchers repeatedly test wat
ID: 3130183 • Letter: T
Question
To assess the quality of a water testing method, researchers repeatedly test water from a single source to determine the accuracy and consistency of the measurements. The researchers prepared the water for the test by mixing a known volume of water and substance so that the real concentration in a homogenous mix of water should be 50. The histograms for their repeated tests are shown. By comparing the histograms, explain which method you think that the researchers should prefer. Assume that the costs of the test are comparable and that discrepancies from the true value of more than 1.5 could lead to poor decisions.
Histogram of Method 1, Method 2 50 Method 1 40 200 20 10 Method 2 40 30 20- 10 48.00 48.75 49.50 50.25 51.00 51.75 52.50Explanation / Answer
Here, we can clearly see that Method 1 has less variation in the data, because the data are closer to the middle than method 2 (which is more spread out).
As "discrepancies from the true value of more than 1.5 could lead to poor decisions", then we must prefer the method with less variation.
Hence, as they have comparable costs anyway, we PREFER METHOD 1. [ANSWER]
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