Math Problem Statement
Construct a confidence interval for the mean of the paired differences for the two populations with the following information. Round the endpoints of the interval to three decimal places, if necessary.
n=31, d¯=2.538, α=0.05, sd=0.556
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Confidence Intervals
Paired Differences
T-Distribution
Formulas
Confidence Interval Formula: d̄ ± t(α/2, n-1) * (sd / √n)
Margin of Error: t(α/2, n-1) * (sd / √n)
Theorems
T-Distribution
Suitable Grade Level
College-level Statistics
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