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. Another molecular biologist repeats the study with a different design. She makes up 12 DNA samples, and then chooses 6 at random to be treated with the enzyme and 6 to remain untreated. The results are as follows: Enzyme present: 12 15 14 22 22 20 Enzyme absent: 23 39 37 18 26 23 Let μx represent the population mean with the enzyme absent and let μy represent the population mean with the enzyme present. Find a 95% confidence interval for the difference μx - My (Round the final answers to three decimal places.) The 95% confidence interval is ( 1.634 18.699 >).

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HINT GIVEN: How can we compute the confidence interval for the difference between two means?

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. Another molecular biologist repeats the
study with a different design. She makes up 12 DNA samples, and then chooses 6 at random to be treated with the enzyme and 6 to
remain untreated. The results are as follows:
Enzyme present: 12 15 14 22 22 20
Enzyme absent: 23 39 37 18 26 23
Let μx represent the population mean with the enzyme absent and let μy represent the population mean with the enzyme present.
Find a 95% confidence interval for the difference μx - My (Round the final answers to three decimal places.)
The 95% confidence interval is ( 1.634
18.699 >).
Transcribed Image Text: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. Another molecular biologist repeats the study with a different design. She makes up 12 DNA samples, and then chooses 6 at random to be treated with the enzyme and 6 to remain untreated. The results are as follows: Enzyme present: 12 15 14 22 22 20 Enzyme absent: 23 39 37 18 26 23 Let μx represent the population mean with the enzyme absent and let μy represent the population mean with the enzyme present. Find a 95% confidence interval for the difference μx - My (Round the final answers to three decimal places.) The 95% confidence interval is ( 1.634 18.699 >).
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