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The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.8 mm and a standard deviation of 4.9 mm. (Round your answers to four decimal places.) (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? 0.2840 (b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? 0.1443 (c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? 0.3863 (d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? mm

The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.8 mm and a standard deviation of 4.9 mm. (Round your answers to four decimal places.) (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? 0.2840 (b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? 0.1443 (c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? 0.3863 (d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? mm

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 4GP
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The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.8 mm and a standard deviation of 4.9 mm. (Round your answers to four decimal places.) (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? 0.2840 (b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? 0.1443 (c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? 0.3863 (d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? mm
Transcribed Image Text:The size of the left upper chamber of the heart is one measure of cardiovascular health. When the upper left chamber is enlarged, the risk of heart problems is increased. A paper described a study in which the left atrial size was measured for a large number of children aged 5 to 15 years. Based on these data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.8 mm and a standard deviation of 4.9 mm. (Round your answers to four decimal places.) (a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? 0.2840 (b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? 0.1443 (c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? 0.3863 (d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? mm
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