Question

Attempts: Average: /6 3. Describing z-scores Aa Aa 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. He measures the hemogiobin levels in five of his patients, all of whom are children aged 2-10 who have been diagnosed with pica. He wants to compare these levels to the population norms. Suppose the mean hemoglobin level in children aged 2-10 is 12.1 gm/dl with a standard deviation of 0.8 gm/dil. 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 children aged 2-10, and the third column contains the corresponding z-score of that patient's hemoglobin level. Fill in the missing values. Location Description Hb Level (gm/dl) z-score one-half of a standard deviation below the mean Patient 1 11.7 -2.00 10.5 Patient 2 one-quarter of a standard deviation below the mean Patient 3 -3.00 9.7 Patient 4 +1.00 one standard deviation above the mean Patient 5

Answer 1

3) he denotes Let hemoglobin LeveL Z-Score is The where denote respe chively and standard and he mean of hemoglobin deviation children LeveL in 2-10 aged

Given that M12.1, 0.8. 2. 0.8 For patient 1 i s Z score 1 1. 7- 12. - 0.5 0 8 ( 1

For pahent 2, Z -2 i s Score Location . The descmphion is standard deviations hwo be Low Me mean For pahent 3, Location descmphiun The i s 2uarter of one deviahon standard the me an below 1 0 25 2. 4 Now X-12.1 Ov, 0 25 - ov, 2 0. 8 x 0 25

Ov, s19 Hb LeveL 1 The m/dL. For patient 1, i s Z-3 근-ScOve 2. The Loeation dese miption i s standard deviations Phree mean. below he patient For Z Z Sconre NoW 0.8 12. ktN1 0.8 x I OV 1O 3 The Hb Level is ll 3 6mldL