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:

Find a 95% confidence interval for the difference between the mean numbers of fragments?

Transcribed Image Text:

Sample Enzyme present 22 16 11 14 12 30 Enzyme absent 43 34 16 27 10 40