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 ? = 0.6. ### Understanding Normal Distribution in Red Blood Cell (RBC) CountRed blood cell (RBC) count in millions per cubic millimeter of whole blood can be analyzed using normal distribution. For healthy females, this distribution has a mean $ \mu $ of 5.6 and a standard deviation $ \sigma $ of 0.6.#### Standard Normal DistributionThe standard normal distribution, often denoted as $ N(0,1) $, is a normal distribution with mean $ \mu = 0 $ and standard deviation $ \sigma = 1 $. The graph provided illustrates this distribution, showing the percentage of the total area (representing probability) within specific ranges of z-values:- 68% of the area falls within 1 standard deviation (between -1 and 1).- 95% of the area falls within 2 standard deviations (between -2 and 2).- 99.7% of the area falls within 3 standard deviations (between -3 and 3).![Standard Normal Distribution](graph-image-placeholder.png)#### Conversion and InterpretationUsing the normal distribution properties, you can convert specific x-values (RBC counts) to z-scores and vice versa.(a) Convert the x interval, $ 4.5 < x $, to a z interval. (Round your answer to two decimal places.)\[ \boxed{} < z \](b) Convert the x interval, $ x < 4.2 $, to a z interval. (Round your answer to two decimal places.)\[ z < \boxed{} \](c) Convert the x interval, $ 4.0 < x < 5.5 $, to a z interval. (Round your answers to two decimal places.)\[ \boxed{} < z < \boxed{} \](d) Convert the z interval, $ z < -1.44 $, to an x interval. (Round your answer to one decimal place.)\[ x < \boxed{} \](e) Convert the z interval, $ 1.28 < z $, to an x interval. (Round your answer to one decimal place.)\[ \boxed{} < x \](f) Convert the z interval, $ -2.25 < z < -1.00 $, to an x interval. (Round your answers to one decimal place.)\[ \boxed{} < x < \boxed{} \](g) If

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 = 0.6. The Standard Normal Distribution (-0, 0-1) -3 -2 0 Z 68% of area 95% of area 99.7% of area (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.)

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 = 0.6. The Standard Normal Distribution (-0, 0-1) -3 -2 0 Z 68% of area 95% of area 99.7% of area (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 11MCQ

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