<p>Disclaimer: Obviously, I’m reading too much into this and this is going to be a little over the top. I analyzed this data because I was curious for myself, and of course because I’m a closet math nerd and do this kind of stuff all the time. I collected people’s data that I could find who posted their times and who have previously posted an SAT score on CC, and converted ACT scores into SAT. This data by no means comes from a simple random sample, and there is obviously more to college admissions than SAT scores. Feel free to judge whether these results are statistically significant.</p>
<p>Using a 2-sample T-Test for the difference of the means of two independent populations, assuming a standard deviation of 200 for each population (which in reality is probably much smaller):</p>
<p>t= 2.658
p=.0066</p>
<p>Translation into English: It is ridiculously unlikely that the difference in SAT scores for the two times happened purely by chance.</p>
<p>Adding golfer’s and some others’ numbers, the sample standard deviations from our data (139 for 1:16 and 85 for 5:35) gives:
t=4.308
p=1.684*10^-4</p>
<p>By the way, I used a one-sided test, which tests whether the 1:16’s SAT are higher, not just unequal to, that of the 5:35 SAT’s. A two-sided test to just test whether an inequality exists would be double the p-value above.</p>
<p>I agree with plumazul’s conclusion. I guess we’ll find out what this means on Monday!</p>
<p>1:16
SAT: 2140
And I got a likely. So if there is actually a rejected and accepted time difference, than congratulations to those with 1:16. We’ll find out on Monday (:</p>
