Values of pulmonary function were measured for a sample of 12 people with a history of exercise-induced asthma. The mean value of forced vital capacity (FVC) for the sample is x1 = 4:49 liters and the standard deviation is s1 = 0:83 liters. The mean forced expiratory volume (FEV) is x2 = 3:71 liters and the standard deviation is s2 = 0:62 liters. (a) Compute and interpret a 95% confidence interval for 1, the population mean FVC. (b) Compute a 90% confidence interval for 1. How does its length compare with the 95% CI? (c) Compute and interpret a 95% confidence interval for 2, the population mean FEV. (d) In order to construct these intervals, what assumption is made about the distributions of FVC and FEV?

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