Refer to Exercise 1. Another molecular biologist repeats

Chapter 5, Problem 2SE

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QUESTION:

Refer to Exercise 1. 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 24

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

Questions & Answers

QUESTION:

Refer to Exercise 1. 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 24

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

ANSWER:

Solution :

Step 1 of 1:

Given, a molecular biologist repeats the study with a different design.

Then a molecular biologist makes up 12 DNA samples and 6 treated with the enzyme.

We know that 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

12

23

2

15

39

3

14

37

4

22

18

5

22

26

6

20

24

From the given information we know that and .

Our goal is:

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