Math Problem Statement
Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. The reduction in pain level after magnet treatment for ų1 is n = 16, x = 0.47, s = 1.01. The reduction in pain level after sham treatment for ų2 is n = 16. x = 0.38, s = 1.56. Find the test statistic and don’t round answer
Solution
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Math Problem Analysis
Mathematical Concepts
Statistics
Hypothesis Testing
Welch's t-test
Formulas
t = (x̄1 - x̄2) / sqrt((s1^2 / n1) + (s2^2 / n2))
Theorems
Welch's t-test
Suitable Grade Level
University-level statistics or advanced high school
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