# 3. Peak expiratory flow (PEF) is a measure of a patient's ability to expel air from the lungs. Patients withasthma or other respiratory conditions often have restricted PEF. The mean PEF for children free ofasthma is 306. An investigator wants to test whether children with chronic bronchitis have restricted PEFA sample of 40 children with chronic bronchitis is studied, and their mean PEF is 279 with a standarddeviation of 71. Is there statistical evidence of a lower mean PEF in children with chronic bronchitis? Runthe appropriate test at a 0.05

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Step 1

Here, the sample mean, x-bar is 279.

Sample standard deviation, s = 71.

Sample size, n is 40.

Population mean, µ =306.

Hypotheses:

Null hypothesis:

H0: µ =306

Alternative hypothesis:

H1: µ <306

Since the alternative hypothesis states µ <306, this test is a left-tailed test.

Also, population st...

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