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tion 3 (12 points) 1. The clinicians want to test whether increased calcium reduce blood pressure. Group 1 is the calcium group, and group 2 is the placebo group, Assume equal population standard deviations. Here are the summary statistics for the decrease in blood pressure: Group Treatment n Calcium 10 5 8.743 2 Placebo 11 -0.273 5.901 a, Find the 95% confidence interval for u1 - 12. (4 marks) b. Help the clinicians to test their assumption. Use p value and 5% traditional threshold to make your conclusion. HotHi = #2 VS HIM; > Ha (4 marks) c. We talked about one thing that can help decrease type I and type II errors at the same time. If by any chance you fail to reject the null hypothesis, what can you do to make your evidence stronger? (2 marks) d. At 0.05 level of significance, what is type I error? If I could decrease type II error to 6% , what will be the power of the test? (2 marks)