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    Confidence interval for comparison of means

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    A study was conducted to determine if softly playing Mozart in the background enhanced retention while studying dates of historical significance. The data from the study is summarized below.

    No Mozart n = 20; x = 63.8; s = 4.4
    Mozart n = 20; x = 64.2; s = 3.5

    Assume the populations are normal with unequal variances. Construct a 99% confidence interval for the difference in means (No Mozart - Mozart).

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    Solution Summary

    The solution compares data on test scores between samples that have or have not listened to Mozart in the background. The comparison calculates a confidence interval based on the assumption of unequal variances.