You test a new drug to reduce blood pressure. A group of 15 patients with high blood pressure report the following systolic pressures (measured in mm Hg): before medication: after medication: change: ̄y s 187 120 151 143 160 168 181 197 133 128 130 195 130 147 193 157.53 27.409 187 118 147 145 158 166 177 196 134 124 133 196 130 146 189 156.40 27.060 0 2 4 -2 2 2 4 1 -1 4 -3 -1 0 1 4 1.133 2.295 a) Calculate a 95% CI for the change in blood pressure. b) Calculate a 99% CI for the change in blood pressure. c) Does either interval (the one you calculated in (a) or (b)) include 0? Why is this important?
1) You test a new drug to reduce blood pressure. A group of 15 patients with high blood pressure report the following systolic pressures (measured in mm Hg):
before medication: after medication: change:
̄y s
187 120 151 143 160 168 181 197 133 128 130 195 130 147 193 157.53 27.409
187 118 147 145 158 166 177 196 134 124 133 196 130 146 189 156.40 27.060 0 2 4 -2 2 2 4 1 -1 4 -3 -1 0 1 4 1.133 2.295
a) Calculate a 95% CI for the change in blood pressure.
b) Calculate a 99% CI for the change in blood pressure.
c) Does either interval (the one you calculated in (a) or (b)) include 0? Why is this important?
d) Now conduct a one sample t-test using μ = 0, and α = .05. Are the results consistent with (a)? Why or why not?
e) Finally, conduct a one sample t-test using μ = 0, and α = .01. Are the results consistent with (b)? Why or why not?
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