We test a new blood-pressure drug on 25 patients, using 27 other patients as a control group receiving a placebo. The test group had a mean systolic blood-pressure reduction of 11mm Hg, with a standard deviation of 4mm Hg, while the control group had a mean reduction of 5mm Hg with a standard deviation of 3mm Hg. Test the null hypothesis that the new drug is no better than a placebo against the alternative hypothesis that the new drug is better at a significance level of 0.01

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