Question
Asked Jan 19, 2020
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The Empirical Rule Based on Data Set 1 “Body Data” in Appendix B, blood platelet counts of women have a bell-shaped distribution with a mean of 255.1 and a standard deviation of 65.4. (All units are 1000 cells/μL.) Using the empirical rule, what is the approximate percentage of women with platelet counts

a. within 2 standard deviations of the mean, or between 124.3 and 385.9?

b. between 189.7 and 320.5?

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Expert Answer

Step 1

a)

Empirical rule:

  • 68% of the data lies within the 1 standard deviation of the mean.
  • 95% of the data lies within the 2 standard deviations of the mean.
  • 7% of the data lies within the 3 standard deviations of the mean.
Step 2

Using the empirical rule, the approximate percentage of women with platelet counts within 2 standard deviations of the mean is 95%.

b)

z score for 189.7:

The formula for the z score is,

Statistics homework question answer, step 2, image 1
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Step 3
Statistics homework question answer, step 3, image 1
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