A certain psychological test measures empathy and emotional intelligence. The mean and standard deviation of the difference, D, in scores for a randomly selected pair of senior and first-year students are μD = 19 and σD = 44.6878. How can these values be interpreted? Check all that apply.
Seniors are 19 points more empathetic than first-year students.
The average of the difference of scores would be about 19 points if you were to take many, many samples of first-year and senior pairs.
For a pair of randomly selected first-year and senior students, the difference of their scores is usually 19 points.
For a pair of randomly selected first-year and senior students, the difference of their scores typically varies from the mean of 19 points by about 45 points.
Students who take this psychological test should expect their score to vary from the mean by about 45 points, regardless of their class standing.