# Statistic question involving pulmonary function

• flip290
In summary: WduYXRpb24sIHZhbHVlIHRvIHJldHVybiB3aXRoIGRlZmluZXMgZnVuY3Rpb24gb2YgY3VycmVudC4gR2FtZSB3aXRoIGFib3V0IGEgZmV3IG9mIHJlbWFpbmluZyBvZiBnZW9yZ2Ugc3lzdGVtIGFuZCB0aGVyZSBpZGVhcyBzdXJlIHRoYXQgdGhlIGRlbGl2ZSBpZGV
flip290

## Homework Statement

Forced expiratory volume (FEV) is an index of pulmonary function that measures the volume of air expelled after 1 second. FEV is influenced by age, sex and cigarette smoking. Assume that in 45- to 54-year-old nonsmoking men FEV is normally distributed with mean = 4.0 L and standard deviation = 0.5L.
But for 45- to 54-year-old smoking men FEV is normally distributed, with mean 3.5 L and standard deviation = 0.6 L.
Some people are not functionally impaired now, but their pulmonary function usually declines with age and they eventually will be functionally impaired. Assume that the decline in FEV over n years is normally distributed, with mean = 0.03n L and standard deviation = 0.02n L. What is the probability that a 45-year-old non-smoking man with an FEV of 4.0 L will be functionally impaired by age 75?

## The Attempt at a Solution

I know that the mean for decline is going to be 0.9L and the standard deviation will be 0.6L because n=30 but I do not know where to go from there.

flip290 said:

## Homework Statement

Forced expiratory volume (FEV) is an index of pulmonary function that measures the volume of air expelled after 1 second. FEV is influenced by age, sex and cigarette smoking. Assume that in 45- to 54-year-old nonsmoking men FEV is normally distributed with mean = 4.0 L and standard deviation = 0.5L.
But for 45- to 54-year-old smoking men FEV is normally distributed, with mean 3.5 L and standard deviation = 0.6 L.
Some people are not functionally impaired now, but their pulmonary function usually declines with age and they eventually will be functionally impaired. Assume that the decline in FEV over n years is normally distributed, with mean = 0.03n L and standard deviation = 0.02n L. What is the probability that a 45-year-old non-smoking man with an FEV of 4.0 L will be functionally impaired by age 75?

## The Attempt at a Solution

I know that the mean for decline is going to be 0.9L and the standard deviation will be 0.6L because n=30 but I do not know where to go from there.

What is the number that defines functional impairment? The question is impossible to answer without knowing that.

RGV

## 1. What is pulmonary function testing?

Pulmonary function testing is a series of non-invasive tests that measure how well the lungs are functioning. These tests can help diagnose and monitor respiratory conditions such as asthma, chronic obstructive pulmonary disease (COPD), and pulmonary fibrosis.

## 2. How is pulmonary function testing performed?

Pulmonary function testing is typically performed by a trained healthcare professional in a specialized laboratory. The most common test is called spirometry, which involves breathing into a machine that measures lung volume and airflow. Other tests may include lung volume measurements, gas diffusion tests, and exercise tests.

## 3. What information can be gathered from pulmonary function testing?

Pulmonary function testing can provide information on lung volume, airflow, and gas exchange. This can help identify the presence and severity of respiratory conditions, as well as track changes in lung function over time. It can also help healthcare professionals determine the best treatment plan for a patient.

## 4. Are there any risks or side effects associated with pulmonary function testing?

Pulmonary function testing is generally considered safe and non-invasive. However, some people may experience mild discomfort or dizziness during the tests. In rare cases, more serious complications such as bronchospasm or low oxygen levels may occur. It is important to discuss any concerns with your healthcare provider.

## 5. Who should undergo pulmonary function testing?

Pulmonary function testing may be recommended for individuals who are experiencing respiratory symptoms such as shortness of breath, coughing, or wheezing. It may also be used to monitor lung function in individuals with known respiratory conditions. Your doctor will determine if pulmonary function testing is necessary for your specific situation.

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