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A crayon manufacturer is comparing the effects of two

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

Solution for problem 1E Chapter 6.7

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 1E

A crayon manufacturer is comparing the effects of two kinds of yellow dye on the brittleness of crayons. Dye B is more expensive than dye A, but it is thought that it might produce a stronger crayon. Four crayons are tested with each kind of dye, and the impact strength(in joules) is measured for each. The results are as follows:

Dye A: 1.0 2.0 1.2 3.0

Dye B: 3.0 3.2 2.6 3.4

a. Can you conclude that the mean strength of crayons made with dye B is greater than that of crayons made with dye A?

b. Can you conclude that the mean strength of crayons made with dye B exceeds that of crayons made with dye A by more than 1 J?

Step-by-Step Solution:

Step 1 of 3

Given that,

The test results for Dye A and Dye B are as follows:

                 Dye A: 1.0 2.0 1.2 3.0

                 Dye B: 3.0 3.2 2.6 3.4

The sample size of dye A=4

The sample size of dye B=4

Step 2 of 3

Chapter 6.7, Problem 1E is Solved
Step 3 of 3

Textbook: Statistics for Engineers and Scientists
Edition: 4
Author: William Navidi
ISBN: 9780073401331

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A crayon manufacturer is comparing the effects of two