Question

Peak expiratory flow (PEF) is a measure of a patient’s ability to expel air from the lungs. Patients with asthma or other respiratory conditions often have restricted PEF. An investigator conducts a study to investigate whether there is a difference in mean PEF in children with chronic bronchitis as compared to those without. Data on PEF are collected and summarized below. Based on the data, is there statistical evidence of a lower mean PEF in children with chronic bronchitis as compared to those without? Run the appropriate test at α=0.05.

Group |
Number of Children |
Mean PEF |
Std Dev PEF |

Chronic Bronchitis |
42 |
265 |
65 |

No Chronic Bronchitis |
40 |
319 |
70 |

a) Hypotheses

b) Calculate S2p

c) Compute Test statistic

d) P-value

e) Conclusion

f) Calculate a 95% confidence interval for mean difference

Answer #1

Peak expiratory flow (PEF) is a measure of a patient’s ability
to expel air from the lungs. Patients with asthma or other
respiratory conditions often have restricted PEF. The mean PEF for
children free of asthma is 306. An investigator conducts a study to
investigate whether there is a difference in mean PEF in children
with chronic bronchitis as compared to those without asthma or
other respiratory conditions often have restricted PEF. Data on PEF
are collected and summarized below....

Peak expiratory flow (PEF) is a measure of a patient’s ability
to expel air from the lungs. Patients with asthma or other
respiratory conditions often have restricted PEF. The mean PEF for
children free of asthma is 306. An investigator wants to test
whether children with chronic bronchitis have restricted PEF. A
sample of 40 children with chronic bronchitis is studied, and their
mean PEF is 279 with a standard deviation of 71. Is there
statistical evidence of a lower...

Peak expiratory flow (PEF) is a measure of a patient’s ability
to expel air from the lungs. Patients with asthma or other
respiratory conditions often have restricted PEF. The mean PEF for
children free of asthma is 306. An investigator wants to test
whether children with chronic bronchitis have restricted PEF. A
sample of 50 children with chronic bronchitis are studied and their
mean PEF is 281. Assume the population standard deviation is 69. Is
there statistical evidence of a...

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