Red Blood Cell Count 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 ? = 4. 8 and standard deviation ? = x 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: 4.5 < x x < 4.2 4.0 < x < 5.5 Solution a) 4.5 < x x > 4.5 µ = 5.7 s = 0.4 standardize x to z = (x - µ) / s x > 4.5 = z > (4.5-5.7) / 0.4) = z > -3 -3 < z c) µ = 5.7 s = 0.4 standardize x to z = (x - µ) / s 4 < x < 5.5) = ( 4 - 5.7) / 0.4 < Z < ( 5.5 - 5.7) / 0.4] -4.25 < Z < -0.5 d) z < -1.44 z = (x - µ) / s -1.44 = (x-5.7)/.4 (-1.44)(.4) + 5.7 = x -5.1 = x x < 5.1 g) µ = 5.7 s = 0.4 standardize x to z = (x - µ) / s (x > 5.9) = ( z > (5.9-5.7) / 0.4) z > 0.5 = No. A z score of 0.50 implies that this RBC is normal. P( z > 0.5) = .3085 (not high).