Calculate the mean of the sum S = I + O.
Calculate the mean of the difference D = S – F.
Calculate the standard deviation of the sum S = I + O.
Calculate the standard deviation of the difference D = S – F.
Students who attend Anytown College pay either in-state or out-of-state tuition, depending on where they reside. The mean and standard deviation of the sum, S, of tuition for a randomly selected pair of in-state and out-of-state students are μS = $6,348.75 and σS = $1,508.48.How can these values be interpreted? Check all that apply.The average of the sums of both types of tuitions would be $6,348.75 for many, many randomly selected pairs of students.Students who pay both types of tuition will pay $6,348.75 per semester.For a pair of randomly selected in- and out-of-state students, the sum of their tuitions is $6,348.75.For a pair of randomly selected in- and out-of-state students, the sum of their tuitions typically varies from the mean of $6,348.75 by about $1,508.48.Students who pay both in- and out-of-state tuition should expect their cost to vary by about $1,508.48 per semester.
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.
What is the probability that the sum of a randomly selected pair of in- and out-of-state students has a tuition charge of more than $8,000?
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