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Archaeologists studying meat storage methods employed by

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

Solution for problem 13E Chapter 3.4

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 13E

Archaeologists studying meat storage methods employed by the Nunamiut in northern Alaska have developed a Meat Drying Index. Following is a slightly simplified version of the index given in the article “A Zooarchaeological Signature for Meat Storage: Rethinking the Drying Utility Index”(T. Friesen, American Antiquity, 2001:315-331). Let m represent the weight of meat, b the weight of bone, and g the gross weight of some part of a caribou. The Meat Drying Index y is given by y = mb/g. Assume that for a particular caribou rib, the following measurements are made (in grams): g = 3867.4 ± 0.3, b = 1037.0 ± 0.2, m = 2650.4 ± 0.1.

a. Estimate y, and find the uncertainty in the estimate.

b. Which would provide the greatest reduction in the uncertainty in y: reducing the uncertainty in g to 0.1 g, reducing the uncertainty in b to 0.1 g, or reducing the uncertainty in m to 0?

Step-by-Step Solution:

Answer :

Step 1 of 3 :

Given,

Archaeologists studying meat storage methods employed by the Nunamiut in northern Alaska have developed a Meat drying index

  Let, y = mb/g.

Where, m = weight of meat, b = weight of bone, g = gross weight of some part of a caribou

and y is the meat drying index.

We have, g = 3867.40.3 ,  b = 1037.00.2 and m = 2650.40.1

We have to find estimate y and uncertainty in the estimate.In reducing the uncertainty in g to 0.1g,  reducing the uncertainty in b to 0.1g, or reducing the uncertainty in m to 0, in these three which would provide the greatest reduction in the uncertainty in y

Step 2 of 3 :

The claim is to find the estimate of y and the uncertainty in the estimate

We have g = 3867.4, = 0.3, b = 1037.0, = 0.2, m = 2650.4 and =0.1

The estimate  y =

                         =

                         = 710.6750

The estimate y = 710.6750

We have to find  =

Where,  =

                 = -

                  = -

                 = -0.1838

  =

       =  

      =  

      = 0.6853

And   =

       =  

      =  

      = 0.2687

Substitute these value in =

=

    =

    = 0.150

Therefore, the estimate y is 710.6750 and the uncertainty in the estimate is 0.15

Hence, y = 710.67500.15

Step 3 of 3

Chapter 3.4, Problem 13E is Solved
Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

Since the solution to 13E from 3.4 chapter was answered, more than 264 students have viewed the full step-by-step answer. The answer to “Archaeologists studying meat storage methods employed by the Nunamiut in northern Alaska have developed a Meat Drying Index. Following is a slightly simplified version of the index given in the article “A Zooarchaeological Signature for Meat Storage: Rethinking the Drying Utility Index”(T. Friesen, American Antiquity, 2001:315-331). Let m represent the weight of meat, b the weight of bone, and g the gross weight of some part of a caribou. The Meat Drying Index y is given by y = mb/g. Assume that for a particular caribou rib, the following measurements are made (in grams): g = 3867.4 ± 0.3, b = 1037.0 ± 0.2, m = 2650.4 ± 0.1.a. Estimate y, and find the uncertainty in the estimate.________________b. Which would provide the greatest reduction in the uncertainty in y: reducing the uncertainty in g to 0.1 g, reducing the uncertainty in b to 0.1 g, or reducing the uncertainty in m to 0?” is broken down into a number of easy to follow steps, and 153 words. This textbook survival guide was created for the textbook: Statistics for Engineers and Scientists , edition: 4. The full step-by-step solution to problem: 13E from chapter: 3.4 was answered by , our top Statistics solution expert on 06/28/17, 11:15AM. Statistics for Engineers and Scientists was written by and is associated to the ISBN: 9780073401331. This full solution covers the following key subjects: meat, uncertainty, index, weight, reducing. This expansive textbook survival guide covers 153 chapters, and 2440 solutions.

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