Consider the data from Exercise 11.7.3 in which the drugs ticrynafen (T) and hydrochlorothiazide (H) were compared. The data are summarized in the following table. The pooled standard deviation is Spooled = 11.83 mm Hg.

If the two drugs have equal effects on blood pressure, then T might be preferable because it has fewer side effects.
(a) Construct a 95% confidence interval for the difference between the drugs (with respect to mean blood pressure reduction), averaged over the two dosage levels.
(b) Interpret the confidence interval from part (a) in the context of this setting.

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Ticrynafen (T) Hydrochlorothiazide (H) Low High Low dose dose dose High Mean 13.9 7.15.8 No. of 5357 patients dose 17.5 58