Math Problem Statement
construct the confidence interval that could be used for the hypothesis test described in part (a). What feature of the confidence interval leads to the same conclusion reached in part (a)?
Solution
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Math Problem Analysis
Mathematical Concepts
Hypothesis Testing
Confidence Interval
Paired t-Test
t-Distribution
Formulas
Mean difference: d̄ = Σd / n
Standard deviation of differences: s_d
Confidence Interval: d̄ ± t_{α/2} (s_d / √n)
Theorems
Paired sample t-test for mean difference
Properties of confidence intervals and hypothesis testing
Suitable Grade Level
Undergraduate/Statistics
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