The red blood cell counts (in millions of cells per microliter) for a population of adult males can be approximated by a normal distribution, with a mean of 5.7 million cells per microliter and a standard deviation of 0.4 million cells per microliter. (a) What is the minimum red blood cell count that can be in the top 28% of counts? (b) What is the maximum red blood cell count that can be in the bottom 10% of counts?
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Let $x=$ red blood cell (RBC) count in millions per cubic millimeter of whole blood. For healthy females, $x$ has an approximately normal distribution with mean $\mu=4.8$ and standard deviation $\sigma=0.3$ (based on information from Diagnostic Tests with Nursing Implications, edited by S. Loeb, Springhouse Press). Convert each of the following $x$ intervals to $z$ intervals. (g) Interpretation If a female had an $\mathrm{RBC}$ count of 5.9 or higher, would that be considered unusually high? Explain using $z$ values and Figure $7-12$.
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