11. z Scores: 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 devia- tion = 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. (a) 4.5 < x (b) x < 4.2 (c) 4.0

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Instructions: Convert the raw
scores in parts (a), (b), and (c)
of Problem 11 in the textbook,
which is reproduced here.
11.
z Scores: 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 devia-
tion = 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.
(a) 4.5 < x (b) x < 4.2 (c) 4.0<x<5.5
Convert each of the following z intervals to x intervals.
(d) z < -1.44 (e) 1.28 <z
(f) -2.25<z<-1.00
(g) Interpretation If a female had an RBC count of 5.9 or higher, would that
be considered unusually high? Explain using z values and Figure 7-12.
|||
B. Convert z score intervals to
raw score (x) intervals.
Given an x distribution with mean and standard deviation o, the raw score x
corresponding to a z score is
x=20 tu
:
||
Transcribed Image Text:8:48 ← Brase Worksheet 7.2 - Saved ← ...| 9% This document contains ink, shapes an... Instructions: Convert the raw scores in parts (a), (b), and (c) of Problem 11 in the textbook, which is reproduced here. 11. z Scores: 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 devia- tion = 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. (a) 4.5 < x (b) x < 4.2 (c) 4.0<x<5.5 Convert each of the following z intervals to x intervals. (d) z < -1.44 (e) 1.28 <z (f) -2.25<z<-1.00 (g) Interpretation If a female had an RBC count of 5.9 or higher, would that be considered unusually high? Explain using z values and Figure 7-12. ||| B. Convert z score intervals to raw score (x) intervals. Given an x distribution with mean and standard deviation o, the raw score x corresponding to a z score is x=20 tu : ||
8:59
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Q
Brase Worksheet 7.2 - Saved
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This document contains ink, shapes an...
away measurements are from
the mean of a data set and is
used to find probabilities that
a measurement lies within a
particular interval.
Instructions: In part A, convert
a raw score interval to a z
score interval. In part B,
convert a z score interval to a
raw score interval. In part C,
find the area under the
standard normal curve for a z
score interval.
Z =
14% ال
A. Convert raw score (x)
intervals to z score intervals.
|||
The z vallue or z score (also known as standard score) gives the number of standard
deviations between the original measurement x and the mean of the x distribution.
x-μ
<
:
||
Transcribed Image Text:8:59 ← Q Brase Worksheet 7.2 - Saved ← This document contains ink, shapes an... away measurements are from the mean of a data set and is used to find probabilities that a measurement lies within a particular interval. Instructions: In part A, convert a raw score interval to a z score interval. In part B, convert a z score interval to a raw score interval. In part C, find the area under the standard normal curve for a z score interval. Z = 14% ال A. Convert raw score (x) intervals to z score intervals. ||| The z vallue or z score (also known as standard score) gives the number of standard deviations between the original measurement x and the mean of the x distribution. x-μ < : ||
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