Statistics: Informed Decisions Using Data (4th Edition)

Published by Pearson
ISBN 10: 0321757270
ISBN 13: 978-0-32175-727-2

Chapter 7 - Review - Case Study - A Tale of Blood Chemistry and Health - Page 398: 1

Answer

The mean of HDL cholesterol blood component is 92.5. The standard deviation of the HDL cholesterol blood component is 28.75.

Work Step by Step

The mean for the blood component is calculated as the midpoint of the reference interval corresponding to that component. Therefore, mean of the given reference interval is calculated as follows: \[\begin{align} & \bar{x}=\frac{35+150}{2} \\ & =92.5 \end{align}\] The standard deviation for the blood component is calculated by dividing the range of the reference interval by 4. Therefore, the standard deviation is calculated as follows: \[\begin{align} & \sigma =\frac{\text{Range}}{4} \\ & =\frac{\text{Maximum Value - Minimum Value}}{4} \\ & =\frac{150-35}{4} \\ & =\frac{115}{4} \end{align}\]\[\] \[=28.75\]
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