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 in liters. 4.2 3.8 4.2 4.3 3.5 4.5 3.7 4.3 3.5 5.2 3.2 3.5 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 = 0.6 61.49 to 62.11 liters 3.81 to 4.43 liters 2.92 to 5.32 liters 4.04 to 4.20 liters

Explanation / Answer

mean 4.12 sd 0.6 n 15 z(a/2)= 1.999077215 ci = mean +- z(a/2)*(sd/sqrt(n)) lower =4.12-1.999*((0.6/SQRT(15))) 3.810316 upper =4.12+1.999*((0.6/SQRT(15))) 4.429684

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