To test the cleaning power of two different laundry detergents, ADG Labs randomly chooses five different fabric swatches and soils each one uniformly. Each swatch is cut in half. For each pair of soiled half swatches, one is randomly selected to be washed in Detergent A and the other is washed in Detergent B. A meter is then used to gage the cleanliness of each swatch. The table below shows the results. Assuming that all necessary population conditions are satisfied, use the matched sample approach to build a 95% confidence interval estimate of the average difference in cleanliness for the populations represented.
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