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# Solved: z Scores. In Exercises, express allz scores with ## Problem 6BSC Chapter 3.4

Elementary Statistics | 12th Edition

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Problem 6BSC

z Scores. In Exercises, express allz scores with two decimal places.

Earthquakes Data Set 16 in Appendix B lists 50 magnitudes (Richter scale) of 50 earthquakes, and those earthquakes have magnitudes with a mean of 1.184 with a standard deviation of 0.587. The strongest of those earthquakes had a magnitude of 2.95.

a. What is the difference between the magnitude of the strongest earthquake and the mean magnitude?

b. How many standard deviations is that (the difference found in part (a))?

c. Convert the magnitude of the strongest earthquake to a z score.

d. If we consider “usual” magnitudes to be those that convert to z scores between −2 and 2, is the magnitude of the strongest earthquake usual or unusual? Step-by-Step Solution:

Step 1 of 4</p>

a)The difference between the magnitude of the strongest earthquake and the mean magnitude is

2.95-1.184=1.766

Step 2 of 4</p>

b) How many standard deviations is

(2.95-1.184)/0.587=3.009

Step 3 of 4

Step 4 of 4

##### ISBN: 9780321836960

Since the solution to 6BSC from 3.4 chapter was answered, more than 620 students have viewed the full step-by-step answer. The full step-by-step solution to problem: 6BSC from chapter: 3.4 was answered by Sieva Kozinsky, our top Statistics solution expert on 03/15/17, 10:30PM. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12th. This full solution covers the following key subjects: magnitude, Earthquakes, strongest, Earthquake, those. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. The answer to “z Scores. In Exercises, express allz scores with two decimal places.Earthquakes Data Set 16 in Appendix B lists 50 magnitudes (Richter scale) of 50 earthquakes, and those earthquakes have magnitudes with a mean of 1.184 with a standard deviation of 0.587. The strongest of those earthquakes had a magnitude of 2.95.a. What is the difference between the magnitude of the strongest earthquake and the mean magnitude?________________b. How many standard deviations is that (the difference found in part (a))?________________c. Convert the magnitude of the strongest earthquake to a z score.________________d. If we consider “usual” magnitudes to be those that convert to z scores between ?2 and 2, is the magnitude of the strongest earthquake usual or unusual?” is broken down into a number of easy to follow steps, and 116 words. Elementary Statistics was written by Sieva Kozinsky and is associated to the ISBN: 9780321836960.

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