Interpreting a Confidence Interval for Two Means
To compare the effectiveness of two teaching methods, a researcher constructed a 95% confidence interval for the difference in mean test scores (Method A - Method B). The resulting interval is (2.3, 8.7). Which of the following is the correct interpretation of this interval?
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.
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 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.
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.
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