def confidence_intervals_overlap(old_score, old_ci, new_score, new_ci):
    """Returns true if the confidence intervals of the old and new scores
    overlap, false otherwise.

    """
    if old_score < new_score:
        old_score += old_ci
        new_score -= new_ci
        return old_score >= new_score
    else:
        old_score -= old_ci
        new_score += new_ci
        return old_score <= new_score