Find a 95% confidence interval for the difference between the mean numbers of fragments.
A molecular biologist is studying the effectiveness of a particular enzyme to digest a certain sequence of DNA nucleotides. He divides six DNA samples into two parts, treats one part with the enzyme, and leaves the other part untreated. He then uses a polymerase chain reaction assay to count the number of DNA fragments that contain the given sequence. The results are as follows:
The differences are 21, 18, 5, 13,?2, 10.
The confidence interval is 
or (1.942, 19.725).
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