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

Chapter 3, Problem 43BSC

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QUESTION:

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 / \(\mu L\) . ) 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?

Equation Transcription:

Text Transcription:

\mu L

Questions & Answers

QUESTION:

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 / \(\mu L\) . ) 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?

Equation Transcription:

Text Transcription:

\mu L

ANSWER:

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

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