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.

In a sample of 2023 u.s. adults, 373 said franklin roosevelt was the best president since world war ii. two u.s. adults are selected at random from the population of all u.s. adults without replacement. assuming the sample is representative of all u.s. adults, complete parts (a) through (d). (a) find the probability that both adults say franklin roosevelt was the best president since world war ii. the probability that both adults say franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (b) find the probability that neither adult says franklin roosevelt was the best president since world war ii. the probability that neither adult says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (c) find the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii. the probability that at least one of the two adults says franklin roosevelt was the best president since world war ii is (round to three decimal places as needed.) (d) which of the events can be considered unusual? explain. select all that apply. the event in part left parenthesis a right parenthesis is unusual because its probability is less than or equal to 0.05. the event in part (b) is unusual because its probability is less than or equal to 0.05. none of these events are unusual. the event in part (c) is unusual because its probability is less than or equal to 0.05.

Meg constructed triangle poq and then used a compass and straightedge to accurately construct line segment os, as shown in the figure below, which could be the measures of angles pos and angle poq?

Translate the algebraic expression shown below into a verbal expression. fraction with variable x in numerator and 6 in the denominator. the sum of six and some number the product of six and some number the quotient of some number and six the difference of six and some number