City University is eager to attract new students. One strategy the university has chosen to attract new students is to demonstra
te to prospective students the happiness of its current students (operationally defined as how the students rated their satisfaction with various services offered by the university on a scale of 1–10). The university officials designed a survey asking about student happiness and sent the survey via e-mail to 25 percent of City University students with equal distributions of students in each class (first-year students, sophomores, juniors, and seniors).
University officials used the results of the study to try to attract new students by stating that attending City University for longer periods of time increases student happiness.
* Evaluate the appropriateness of the university officials’ conclusion that being at City University longer makes students happier.
University officials used the results of the study to try to attract new students by stating that attending City University for longer periods of time increases student happiness.
* Evaluate the appropriateness of the university officials’ conclusion that being at City University longer makes students happier.
1 answer:
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Answer:
Explanation:
Alright so the way to do this is to use properties of integrals to make our life easier.
So we have:
So lets break this up into two different integrals that represent the same area.
Lets think about what is going on up there. The integral from four to zero gives us the area under the curve of f(x) from four to zero. If we subtract this from the integral from one to zero (the area under f from one to zero) we are left with the area under f from four to one! Hence:
But since we have these values we can say that:
-3 - 2 = -5
Which means that = -5
So now we can evaluate
Lets first break up our integrand into two integrals
=
Now we can evaluate this:
We know that = -5
So:
where x is evaluated at 4 to 1 so
-15 + 2(3)
So we are left with -15 + 6 = -9