2. Describing z-scores Pica is a disorder in which individuals eat substances that are typically non-nutritive or inedible, such as dirt, paint chips, ice or frost, clay, paper, and so forth. To be diagnosed with pica, these cravings need to last longer than a month and be developmentally inappropriate. Pica is seen in all ages, but more commonly among pregnant women, small children, and those with developmental disabilities. Pica can lead to serious medical problems, particularly when the substance ingested can lead to poisoning (such as lead poisoning from paint chips), parasites (for example, from soil), or intestinal blockages. [Source: American Psychiatric Association. Diagnostic and Statistical Manual of Mental Disorders. 4th ed. Text rev. (Washington, DC: American Psychiatric Association, 2000).] A medical researcher is studying the relationship between pica and iron deficiency. She measures the hemoglobin levels in five of her patients, all of whom are adult females who have been diagnosed with pica. She wants to compare these levels to the population norms. Suppose the mean hemoglobin level in adult females is 13.2 gm/dl with a standard deviation of 1.2 gm/dl. The researcher compiles the following table, where the first column of values is the patient's hemoglobin level (Hb level), the second column describes the location of that hemoglobin level in the distribution of hemoglobin levels among adult females, and the third column contains the corresponding z-score of that patient's hemoglobin level. Fill in the missing values. Patient 1 Patient 2 Patient 3 Patient 4 Patient 5 Hb Level (gm/dl) 16.8 12.6 10.8 Location Description three standard deviations above the mean one-quarter of a standard deviation above the mean one standard deviation below the mean z-score -0.50 -2.00 -1.00

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section: Chapter Questions

Problem 8CR

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2. Describing z-scores
Pica is a disorder in which individuals eat substances that are typically non-nutritive or inedible, such as dirt, paint chips, ice or frost, clay, paper, and so
forth. To be diagnosed with pica, these cravings need to last longer than a month and be developmentally inappropriate. Pica is seen in all ages, but more
commonly among pregnant women, small children, and those with developmental disabilities. Pica can lead to serious medical problems, particularly when
the substance ingested can lead to poisoning (such as lead poisoning from paint chips), parasites (for example, from soil), or intestinal blockages.
[Source: American Psychiatric Association. Diagnostic and Statistical Manual of Mental Disorders. 4th ed. Text rev. (Washington, DC: American Psychiatric
Association, 2000).]
A medical researcher is studying the relationship between pica and iron deficiency. She measures the hemoglobin levels in five of her patients, all of whom
are adult females who have been diagnosed with pica. She wants to compare these levels to the population norms. Suppose the mean hemoglobin level
in adult females is 13.2 gm/dl with a standard deviation of 1.2 gm/dl. The researcher compiles the following table, where the first column of values is the
patient's hemoglobin level (Hb level), the second column describes the location of that hemoglobin level in the distribution of hemoglobin levels among
adult females, and the third column contains the corresponding z-score of that patient's hemoglobin level. Fill in the missing values.
Patient 1
Patient 2
Patient 3
Patient 4
Patient 5
Hb Level (gm/dl)
16.8
12.6
10.8
Location Description
three standard deviations above the mean
one-quarter of a standard deviation above the mean
one standard deviation below the mean
z-score
-0.50
-2.00
-1.00

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