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Statistics / Statistics for Engineers and Scientists 4 / Chapter 5 / Problem 1SE

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

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Chapter 5, Problem 1SE

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QUESTION:

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.

Questions & Answers

QUESTION:

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.

ANSWER:

Solution :

Step 1 of 1:

Given a molecular biologist divides 6 DNA sample into two parts.

First one is enzyme present and enzyme absent.

Then the data is given below.

	sample
	Enzyme present	Enzyme absent
1	22	43
2	16	34
3	11	16
4	14	27
5	12	10
6	30	40

From the given information we know that ${n}_{1}=6$ and ${n}_{2}=6$

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