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The sample standard deviation of the differences between the pretreatment and posttreatment KPS scores is 10.787. Using a 0.05 significance level, you need to test the claim that interventional bronchoscopic therapy improves functional impairment, i.e., that the KPS score is higher after the therapy.
Pretreatment (%) --> 90; 80; 90; 90; 90; 90; 80; 90; 50; 60; 50
Posttreatment (%) --> 100; 100; 100; 100; 100; 100; 100; 100; 80; 100; 80
What is the most appropriate test for the given claim? Two-sample z-test; Two-sample (pooled variance) t-test; Two-sample (unpooled variance) t-test; Paired t-test; or Wilcoxon rank-sum test?
What is the null hypothesis H0?
a. x¯1 - x¯2 ≤ 0
b. x¯1 - x¯2 > 0
c. μd ≤ 0
d. μd > 0
e. μ1 - μ 2 ≤ 0
f. μ1 - μ 2 > 0
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