3. To investigate the difference in 1 antitrypsin levels between healthy subjects and patients with grade III

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3. To investigate the difference in 1 antitrypsin levels between healthy subjects and patients with grade III emphysema, 15 healthy subjects and 13 patients with grade III emphysema were randomly sampled. The 1 antitrypsin levels (g/L) in their sputum were measured and are displayed in Table 8.6.

Please answer the following questions:

(a) Assuming that normality has been satisfied, is it appropriate to apply the two independent samples t-test for testing the difference of the mean 1 antitrypsin levels between the two groups? What other assumptions should be considered, and why should such assumptions be satisfied?

(b) Which statistic can be calculated in testing the assumption in (a)? Please carry out the test.

(c) Based on (b), what methods can be used to address this issue?

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