Heart disease patients often experience spasms of the coronary arteries. Because biological amines may play a role in these spasms, a research team measured amine levels in coronary arteries that were obtained postmortem from patients who had died of heart disease and also from a control group of patients who had died from other causes. The accompanying table summarizes the concentration of the amine serotonin.

(a) For these data, the SE of (1, - 2) is 1,064 and df = 14.3 (which can be rounded to 14). Use a / test to compare the means at the 5% significance level.
(b) Verify the value of SE(1, - 2) given in part (a).

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Serotonin (NG/GM) Heart disease Controls 3,840 850 12 5,310 640 SE