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Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 5 - Problem 2se
Get Full Access to Statistics For Engineers And Scientists - 4 Edition - Chapter 5 - Problem 2se

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# Refer to Exercise 1. Another molecular biologist repeats ISBN: 9780073401331 38

## Solution for problem 2SE Chapter 5

Statistics for Engineers and Scientists | 4th Edition

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Problem 2SE

Problem 2SE

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.

Step-by-Step Solution:

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:

We need to  find the 95% confidence interval for the difference between the mean number of fragments.

Now we have to find the 95% confidence interval for the difference between the mean number of fragments.

The formula of the confidence interval for the difference between the means is Then the table is given below.

 Enzyme absent Enzyme present 1 23 12 2 39 15 3 37 14 4 18 22 5 26 22 6 24 20

Now we are finding , , and .

The formula of the is   Therefore the  formula of the is 17.5.

Then the formula of the is   Therefore the  formula of the is 27.8333.

The formula of the standard deviation is =  =  =  =  = 4.3703

Therefore the standard deviation is 4.3703.

Then the formula of the standard deviation is =  =  =  =  = 8.3286

Therefore the standard deviation is 8.3286.

The 95% difference between mean is          The 95% of confidence interval is .

From the table value The formula of the confidence interval for the difference between the means is

= = = = = Therefore, the confidence interval is and .

Step 2 of 1

##### ISBN: 9780073401331

Since the solution to 2SE from 5 chapter was answered, more than 359 students have viewed the full step-by-step answer. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The answer to “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:12151422 22 20 Enzyme absent: 23 39 371826 24Find a 95% confidence interval for the difference between the mean numbers of fragments.” is broken down into a number of easy to follow steps, and 64 words. This full solution covers the following key subjects: another, biologist, chooses, confidence, Design. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The full step-by-step solution to problem: 2SE from chapter: 5 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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