Answered: Let x = red blood cell (RBC) count in…

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter11: Data Analysis And Displays

Section: Chapter Questions

Problem 10CR

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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 ? = 5.6 and standard deviation ? = 0.4.

(g) If a female had an RBC count of 5.9 or higher, would that be considered unusually high? Explain using z values.

A. Yes. A z score of 0.75 implies that this RBC is unusually high.

B. No. A z score of −0.75 implies that this RBC is unusually low.

C. No. A z score of 0.75 implies that this RBC is normal.

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 u = 5.6 and standard deviation o = 0.4.
The Standard Normal Distribution
(u = 0, o = 1)
-2
-1
68% of area
95% of area
99.7% of area

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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