<p>Bear with me since I am going to turn this thread into an 8th grade math homework solution page.</p>
<p>The z scores are Zcr=(x-502)/112, and Zm=(x-515)/114, and the P-values follow them. So </p>
<p>School ---- Zcr ---- Zm — Pcr ------- Pm — p=(Pcr+Pm)/2
H ------- 2.170 – 1.976 — 0.985 ---- 0.975 – 0.980
Y ------- 2.214 – 1.973 — 0.987 ---- 0.976 – 0.982
P ------- 2.125 – 2.018 — 0.983 ---- 0.978 – 0.980
S ------- 1.813 – 1.885 — 0.965 ---- 0.970 – 0.968</p>
<p>The index yield*SAT/admitRate is</p>
<p>H: 0.980<em>10.82 = 10.60
S: 0.968</em>9.31 = 9.01
Y: 0.982<em>9.16 = 9.00
P: 0.980</em>6.10 = 6.00</p>
<p>I am done for the day. Hopefully this will silent some folks regarding SATs. I am dropping the “Nobel” term, as long as we know Stanford won.</p>