Find the confidence interval specified. Physiologists often use the forced vital

Question

Find the confidence interval specified. Physiologists often use the forced vital capacity as a way to assess a person's ability to move air in and out of their lungs. A researcher wishes to estimate the forced vital capacity of people suffering from asthma. A random sample of 15 asthmatics yields the following data on forced vital capacity, in liters. 4.6 3.0 4.1 4.1 5.2 4.1 3.7 4.3 3.5 5.2 3.2 3.3 4.8 4.0 5.1 Use the data to obtain a 95.44% confidence interval for the mean forced vital capacity for all asthmatics. Assume that sigma = 0.7.

Explanation / Answer

for std error of mean =std deviation/(n)1/2 = 0.1807

for 95% CI, z=1.96

hence 95% confidence interval =sample mean -/+ z*std error =3.8058 ; 4.5142

X 4.6 3 4.1 4.1 5.2 4.1 3.7 4.3 3.5 5.2 3.2 3.5 4.8 4 5.1 mean(X) 4.160

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