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9. A researcher wants to know if calcium is an effective treatment for lowering blood pressure....

9. A researcher wants to know if calcium is an effective treatment for lowering blood pressure. He assigns one randomly chosen group of subjects to take calcium supplements; the other group will get a placebo. At the end of the treatment period, he measures the difference in blood pressure. The 50 members of the calcium group had blood pressure lowered by an average of 25 points with standard deviation 10 points. The 50 members of the placebo group had blood pressure lowered by an average of 15 points with standard deviation 8 points. Is there evidence that calcium is an effective treatment for lowering blood pressure?

State your hypotheses, the test statistic and p-value, and then write a conclusion in terms of the problem.

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