Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. Suppose for healthy females, x has an approximately normal distribution with mean $\mu$= 4.9 and standard deviation $\sigma$=0.5 Convert the following x interval from a laboratory test to a z interval. 6.9 z B)4 z C)4 z E)-1 z

Question

Let x = red blood cell (RBC) count in millions per cubic millimeter of whole blood. Suppose for healthy females, x has an approximately normal distribution with mean $\mu$= 4.9 and standard deviation $\sigma$=0.5 Convert the following x interval from a laboratory test to a z interval. 6.9 < x A)1 > z B)4 > z C)4 < z D)-4 > z E)-1 > z

Quizplus · Accepted Answer

To convert an x value to a z-score in a normal distribution, use the formula $z = \frac{x - \mu}{\sigma}$, where $\mu$ is the mean and $\sigma$ is the standard deviation. For $x = 6.9$, $\mu = 4.9$, and $\sigma = 0.5$, the calculation is $z = \frac{6.9 - 4.9}{0.5} = \frac{2}{0.5} = 4$. Therefore, for $x > 6.9$, the corresponding z interval is $z > 4$.

Let X = Red Blood Cell (RBC) Count in Millions μ\muμ

Let X = Red Blood Cell (RBC) Count in Millions $\mu$