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: 187 120 151 143 160 168 181 197 133 128 130 195 130 147 193 157.53 27.409 after medication: 187 118 147 145 158 166 177 196 134 124 133 196 130 146 189 156.40 27.060 change: 0 2 4 -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 u = 0, and a = .05. Are the results consistent with (a)? Wh or why not? %3D e) Finally, conduct a one sample t-test using u = 0, and a = .01. Are the results consistent with (b)? Why or why not? (Make sure you answer the part in bold for (d) and (e). See also problem 5)

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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):
y
before medication:
187 120 151 143 160 168 181 197 133 128 130 195 130 147 193
157.53
27.409
after medication:
187 118 147 145 158 166 177 196 134 124 133 196 130 146 189
156.40
27.060
change:
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 u = 0, and a = .05. Are the results consistent with (a)? Why
or why not?
e) Finally, conduct a one sample t-test using u = 0, and a = .01. Are the results consistent with (b)?
Why or why not?
(Make sure you answer the part in bold for (d) and (e). See also problem 5)
Transcribed Image Text: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): y before medication: 187 120 151 143 160 168 181 197 133 128 130 195 130 147 193 157.53 27.409 after medication: 187 118 147 145 158 166 177 196 134 124 133 196 130 146 189 156.40 27.060 change: 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 u = 0, and a = .05. Are the results consistent with (a)? Why or why not? e) Finally, conduct a one sample t-test using u = 0, and a = .01. Are the results consistent with (b)? Why or why not? (Make sure you answer the part in bold for (d) and (e). See also problem 5)
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