Stat 100

[Alex]

Those don't sound like questions with firm answers but rather questions where you demonstrate your understanding of the terms in how your justify whichever answer you gave.

As an example, an answer to #1 (no, you really shouldn't be this wordy, I'm just having fun with it):

Well, sir, it depends on whether you want to know how I'd prefer my hypothetical GPA relate to the reality of the PSU mean GPA or how I'd prefer a hypothetical PSU GPA to relate to the reality of my GPA. If the former, since the reality is that the mean PSU GPA is likely around 3.0, and since my goal is to excel in all my studies my clear preference would be that my GPA end up being an outlier at least two standard deviations above that mean, putting me in the top 3 percent of all students.

However, if the question is how I would prefer a hypothetical mean PSU GPA to compare to my actual GPA then...

[AND HERE IT DIVERGES DEPENDING ON ACTUAL GPA]

...since my GPA is, if I may toot my own horn, a very respectable 3.7 and I am a warm-hearted person, while I suspect this would be an outlier I would prefer it were the mean, indicating that I have surrounded myself by intelligent achievers like myself.

...since my GPA is 3.1, there is little reasonable hope that this could be an outlier to the high side so would really prefer that this be very close to the mean since the alternative is likely that I am below the mean.

...since my GPA is 1.9 the only realistic evaluation is that I am an outlier to the low end. The coldly calculating part of me would prefer that I be at the mean, but then that would suggest that PSU kind of sucks. So the another part of me would prefer to be sucking at a good school rather than average at a bad one.