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Yeast cells are suspended in a liquid medium. A 2 mL

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi ISBN: 9780073401331 38

Solution for problem 13SE Chapter 4

Statistics for Engineers and Scientists | 4th Edition

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

Statistics for Engineers and Scientists | 4th Edition

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Problem 13SE

Yeast cells are suspended in a liquid medium. A 2 mL sample of the suspension is withdrawn. A total of 56 yeast cells are counted.a. Estimate the concentration of yeast cells per mL of suspension, and find the uncertainty.________________b. What volume of suspension must be withdrawn to reduce the uncertainty to 1 cell per mL?

Step-by-Step Solution:

Solution :

Step 1 of 2:

Given,

A sample of the suspension is withdrawn is 2 ml and

So t=2 ml.

The number of yeast cell counted is 56.

So X=56.

Our goal is :

a). We need to estimate the concentration of yeast cell per ml of suspension and find the

     Uncertainty.

b). We need to find what volume of suspension must be withdrawn to reduce the uncertainty

     to 1 cell per ml.

a).

Now we have to estimate the concentration of yeast cell per ml of suspension.

Then we have to find the uncertainty.

Then the estimate the concentration of yeast cell per 1 ml is

 

We know that t=2 and X=56.

Therefore the estimate the concentration of yeast cell per 1 ml is 28.

Then we have to find the uncertainty.

The uncertainty is is

We consider .

Then substitute values.

Therefore the the uncertainty is 3.7416.

Hence .


Step 2 of 2

Chapter 4, Problem 13SE is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

This full solution covers the following key subjects: yeast, cells, suspension, uncertainty, withdrawn. This expansive textbook survival guide covers 153 chapters, and 2440 solutions. The answer to “Yeast cells are suspended in a liquid medium. A 2 mL sample of the suspension is withdrawn. A total of 56 yeast cells are counted.a. Estimate the concentration of yeast cells per mL of suspension, and find the uncertainty.________________b. What volume of suspension must be withdrawn to reduce the uncertainty to 1 cell per mL?” is broken down into a number of easy to follow steps, and 55 words. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. The full step-by-step solution to problem: 13SE from chapter: 4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Since the solution to 13SE from 4 chapter was answered, more than 351 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4.

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Yeast cells are suspended in a liquid medium. A 2 mL