Question

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.

Answer 1

A.) The average of the sums of both types of tuitions would be $6,348.75 for many, many randomly selected pairs of students.

&

D.) 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.

Answer 2

Answer:

For a pair of randomly selected in- and out-of-state students, the sum of their tuition typically varies from the mean of $6,348.75 by about $1,508.48.

Step-by-step explanation:

Given

$\mu S = \ 6,348.75$

$\sigma S = \ 1,508$

Required

Interpret the standard deviations

In statistic, standard deviation is a measure of how the given data lies away (or varies) from the mean.

This implies that:

For the in-state students, the standard deviation measures how the sum of their tuition varies from 6348.75

For the out-state students, the standard deviation measures how the sum of their tuition varies from 1508