APFIVE A researcher conducted a study comparing the effectiveness of two different teaching methods on student performance. A 95% confidence interval for the difference in mean test scores (Method A - Method B) was calculated as (2.3, 8.7). Which of the following is the most appropriate interpretation of this confidence interval?
The probability is 0.95 that the difference in mean test scores between the two teaching methods is between 2.3 and 8.7 points.
We are 95% confident that the mean test score for students taught using Method A is between 2.3 and 8.7 points higher than the mean test score for students taught using Method B in the populations from which these samples were drawn.
95% of all students taught using Method A will score between 2.3 and 8.7 points higher than students taught using Method B.
We are 95% confident that the mean test score for Method A is between 2.3 and 8.7 points higher than the mean test score for Method B.
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