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A Researcher takes measurements of water clarity at the same location in a lake on the same dates during the course of a year and repeats the measurements on the same dates 5 years later. The collected data is given in the table below.
Oservation 1 2 3 4 5 6
Dates 1/25 3/19 5/30 7/3 9/13 11/7
Initial 37.4 35.9 37.6 47.7 63.3 55.5
After five years 37.8 33.6 37.4 54.0 67.6 54.6
Construct a 95% confidence interval about the population mean difference. Compute the difference as (initial depth of clarity) minus (depth of clarity after five years). Interpret your results.
The confidence interval is (……..),(……..). (Round to three decimal places as needed)