Can you help with parts iv, v, and vi please? 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. The paper ("Left atrial size increases with body mass index in children")[https://www.ncbi.nlm.nih.gov/pubmed/19147240] (International Journal of Cardiology [2009]) described a study in which the left atrial size was measured for a large number of children age 5 to 15 years. Based on this data, the authors concluded that for healthy children, the left atrial diameter was approximately normally distributed with a mean of 26.4 mm and a standard deviation of 4.2 mm. i) Use `plotDist` to draw the probability density function of the left atrial diameter. ii) Generate 50 sample measurements of the left atrial diameters and plot the measurements using a histogram. iii) Approximately what proportion of healthy children have left atrial diameters less than 23.5 mm? iv) Approximately what proportion of healthy children have left atrial diameters greater than 32.5 mm? v) Approximately what proportion of healthy children have left atrial diameters between 24 and 29 mm? vi) For healthy children, what is the value for which only about 25% have larger left atrial diameter?
Can you help with parts iv, v, and vi please?
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. The paper ("Left atrial size increases with body mass index in children")[https://www.ncbi.nlm.nih.gov/pubmed/19147240] (International Journal of Cardiology [2009]) described a study in which the left atrial size was measured for a large number of children age 5 to 15 years. Based on this data, the authors concluded that for healthy children, the left atrial diameter was approximately
i) Use `plotDist` to draw the probability density
ii) Generate 50 sample measurements of the left atrial diameters and plot the measurements using a histogram.
iii) Approximately what proportion of healthy children have left atrial diameters less than 23.5 mm?
iv) Approximately what proportion of healthy children have left atrial diameters greater than 32.5 mm?
v) Approximately what proportion of healthy children have left atrial diameters between 24 and 29 mm?
vi) For healthy children, what is the value for which only about 25% have larger left atrial diameter?
Step by step
Solved in 5 steps with 12 images
