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An investigator wishes to determine if sitting upright in a chair vs. lying down on a bed will affect a person's blood pressure. The investigator decides to use each of 10 patients as his or her own control and collects systolic blood pressure (in mm Hg) data in both the sitting and lying positions as given in the table.
Sitting
142
100
112
92
104
108
94
98
Lying
154
106
110
120
90
114
a. What is the distinction between a one-sided and a two-sided hypothesis test in this problem?
b. Which hypothesis test is appropriate here and why?
c. Test the hypothesis identified in part b). Use α = 0.05. What is the p-value?
d. Find a 95% confidence interval for the mean difference in systolic blood pressure between the sitting and lying positions.
e. What assumptions do you need to make in part d)? Conduct a statistical test for the assumptions.
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