Question

In: Statistics and Probability

The size of the left upper chamber of the heart is one measure of cardiovascular health....

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 age 5 to 15 years. Based on this data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.6 mm and a standard deviation of 4.6 mm.

(a) Approximately what proportion of healthy children have left atrial diameters less than 24 mm? (Round your answer to four decimal places.)

(b) Approximately what proportion of healthy children have left atrial diameters greater than 32 mm? (Round your answer to four decimal places.)

(c) Approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm? (Round your answer to four decimal places.)

(d) For healthy children, what is the value for which only about 20% have a larger left atrial diameter? (Round your answer to two decimal places.) mm

Solutions

Expert Solution

Given that, mean = 26.6 mm and

standard deviation = 4.6 mm

a)

Therefore, approximately what proportion of healthy children have left atrial diameters less than 24 mm is 0.2843

b)

Therefore, approximately what proportion of healthy children have left atrial diameters greater than 32 mm is 0.1210

c)

Therefore, approximately what proportion of healthy children have left atrial diameters between 25 and 30 mm is 0.4072

d) We want to find, the value of x such that, P(X > x) = 0.20

Therefore, required value is 30.46 mm


Related Solutions

The size of the left upper chamber of the heart is one measure of cardiovascular health....
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 age 5 to 15 years. Based on this data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.5 mm and a...
The size of the left upper chamber of the heart is one measure of cardiovascular health....
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 age 5 to 15 years. Based on this data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.8 mm and a...
The size of the left upper chamber of the heart is one measure of cardiovascular health....
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 age 5 to 15 years. Based on this data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.7 mm and a...
The size of the left upper chamber of the heart is one measure of cardiovascular health....
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 age 5 to 15 years. Based on this data, the authors concluded that for healthy children, left atrial diameter was approximately normally distributed with a mean of 26.7 mm and a...
1. The size of the left upper chamber of the heart is one measure of cardiovascular...
1. 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” (International Journal of Cardiology [2009]: 1–7) 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...
II. Cardiovascular System Health Assessment: Heart and Neck Vessels a. Anatomical landmarks for assessing the heart...
II. Cardiovascular System Health Assessment: Heart and Neck Vessels a. Anatomical landmarks for assessing the heart and neck vessels b. Physical assessment techniques for assessing the heart and neck vessels c. Normal and Abnormal Findings: Inspection, Palpation, Percussion, Auscultation d. Heart Sounds and Murmurs: Normal and Abnormal findings and clinical significance e. (application)Jugular Venous Pressure: Normal and Abnormal findings and clinical significance / CHF f. Assessing Murmurs g. Peripheral vascular pulses
Explain how Mr Ken’s cardiovascular condition would put him at risk of having left-side heart failure....
Explain how Mr Ken’s cardiovascular condition would put him at risk of having left-side heart failure.
In order for exercise to be beneficial to the cardiovascular system, the heart rate (number of...
In order for exercise to be beneficial to the cardiovascular system, the heart rate (number of heartbeats per minute) must exceed a value called the training heart rate, THR. A person's THR can be calculated from their age and resting heart rate (pulse rate when first awakening) as follows: (a) Calculate the maximum heart rate as 220 - age. (b) Subtract the resting heart rate from the maximum heart rate. (c) Multiply the result in step (b) by 60%, and...
A community health service initiates a cardiovascular risk screening intervention as one of the activities in...
A community health service initiates a cardiovascular risk screening intervention as one of the activities in the overall health promotion goal of reducing cardiovascular risk for men aged 40 or over in the local community. In the planning process, an impact indicator for this intervention is established: 60 per cent or more of at risk men in the population will consult a general practitioner (GP) to reduce their level of risk ─ meaning that if the intervention is successful, 60%...
Explain and compare each: Right heart failure Left heart failure Mixed Heart Failure
Explain and compare each: Right heart failure Left heart failure Mixed Heart Failure
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT