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In rock blasting, the peak particle velocity (PPV) depends

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

Solution for problem 12E Chapter 8.3

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 12E

Problem 12E

In rock blasting, the peak particle velocity (PPV) depends both on the distance from the blast and on the amount of charge. The article “Prediction of Particle Velocity Caused by Blasting for an Infrastructure Excavation Covering Granite Bedrock” (A. Kahriman. Mineral Resources Engineering, 2001:205-218) presents data on PPV. scaled distance (which is equal to the distance divided by the square root of the charge), and the amount of charge. The following table presents the values of PPV, scaled distance, and amount of charge for 15 blasts. (Some of these data were presented in Exercise 4 in Section 7.4.)

 

Scaled Distance

Amount of

PPV (mm/s)

(m/kg05)

Charge (kg)

1.4

47.33

4.2

15.7

9.6

92.0

2.54

15.8

40.0

1.14

24.3

48.7

0.889

23.0

95.7

1.65

12.7

67.7

1.4

39.3

13.0

26.8

8.0

70.0

1.02

29.94

13.5

4.57

10.9

41.0

6.6

8.63

108.8

1.02

                    28.64

27.43

3.94

18.21

59.1

1.4

33.0

11.5

1.4

34.0

175.0

a. Fit the model In PPV = β0 + β1 In Scaled Distance + β2 In Charge + ε. Compute the P - value for testing H0: β1 = 0 for β0, β1, and β2.

b. The article claims that the model In PPV = β0 + β1In Scaled Distance + ε is appropriate. Fit this model. Compute the P-value for testing H0: fa = 0 for fa, fa. and fa.

c. Which model do you prefer? Why?

Step-by-Step Solution:
Step 1 of 3

1 Charge & Coulomb's Law Charge Is a property of matter. There are two kinds of charge, positive “+” and negative “−”.1 1. An object can have positive charge, negative charge, or no charge at all. A particle which has charge causes a force-per-charge-of-would-be-victim vector to exist at each point in the region of space around itself. The infinite set of force-per-charge-of-would-be-victim vectors is called a vector field. Any charged particle that finds itself in the region of space where the force- percharge-of-would-be-victim vector field exists will have a force exerted upon it by the force-percharge-of-would-be-victim field. The force-per-charge- of-would-be-victim field is called the electric field. The charged particle causi

Step 2 of 3

Chapter 8.3, Problem 12E is Solved
Step 3 of 3

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

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In rock blasting, the peak particle velocity (PPV) depends