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Chebyshev’s Theorem Based on Data Set 1, blood platelet

Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola ISBN: 9780321836960 18

Solution for problem 43BSC Chapter 3.3

Elementary Statistics | 12th Edition

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Elementary Statistics | 12th Edition | ISBN: 9780321836960 | Authors: Mario F. Triola

Elementary Statistics | 12th Edition

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Problem 43BSC

Chebyshev's Theorem Based on Data Set 1 in Appendix B, blood platelet counts of women have a bell­-shaped distribution with a mean of 280 and a standard deviation of 65. ( All units are 1000 cells / μ L . ) Using Chebyshev's theorem, what do we know about the percentage of women with platelet counts that are within 2 standard deviations of the mean? What are the minimum and maximum platelet counts that are within 2 standard deviations of the mean?

Step-by-Step Solution:

Answer:

Step 1 of 1

Given, blood platelet counts of women have a bell-shaped distribution with a mean of 280 cells/μL and a standard deviation of 65 cells/μL.

By using the empirical rule,

The percentage of women with platelet counts that are within 2 standard deviations of the mean

(1-(1/)2)% = (1-(1/2)2)%

                     = 75%

At least 75% of the data is within 2 standard deviation of the mean.

The minimum and maximum platelet counts that are within 2 standard deviations of the mean

Minimum:  = 280 - 2(65)

                              = 150

Maximum:  = 280 + 2(65)

                              = 410

Step 2 of 1

Chapter 3.3, Problem 43BSC is Solved
Textbook: Elementary Statistics
Edition: 12
Author: Mario F. Triola
ISBN: 9780321836960

The full step-by-step solution to problem: 43BSC from chapter: 3.3 was answered by , our top Statistics solution expert on 03/15/17, 10:30PM. The answer to “?Chebyshev's Theorem Based on Data Set 1 in Appendix B, blood platelet counts of women have a bell­-shaped distribution with a mean of 280 and a standard deviation of 65. ( All units are 1000 cells / ? L . ) Using Chebyshev's theorem, what do we know about the percentage of women with platelet counts that are within 2 standard deviations of the mean? What are the minimum and maximum platelet counts that are within 2 standard deviations of the mean?” is broken down into a number of easy to follow steps, and 82 words. This full solution covers the following key subjects: mean, counts, standard, platelet, theorem. This expansive textbook survival guide covers 121 chapters, and 3629 solutions. This textbook survival guide was created for the textbook: Elementary Statistics, edition: 12. Since the solution to 43BSC from 3.3 chapter was answered, more than 647 students have viewed the full step-by-step answer. Elementary Statistics was written by and is associated to the ISBN: 9780321836960.

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