<?xml version="1.0" encoding="UTF-8"?>
<Worksheet><Version major="6" minor="0"/><View-Properties><Zoom percentage="100"/></View-Properties><Styles><Layout alignment="left" bullet="none" name="Error"/><Layout alignment="left" bullet="none" firstindent="0.0" leftmargin="0.0" linebreak="space" name="Normal" rightmargin="0.0" spaceabove="0.0" spacebelow="0.0"/><Layout alignment="centred" bullet="none" linespacing="0.5" name="Maple Output"/><Font background="[0,0,0]" bold="false" family="Times New Roman" foreground="[0,0,0]" italic="false" name="Text" opaque="false" size="12" underline="false"/><Font background="[0,0,0]" family="Monospaced" foreground="[255,0,255]" name="Error" opaque="false" readonly="true" size="12"/><Font background="[0,0,0]" family="Times New Roman" foreground="[0,0,255]" name="2D Output" opaque="false" readonly="true" size="12"/><Font background="[0,0,0]" bold="false" family="Times New Roman" foreground="[0,0,0]" italic="false" name="Normal" opaque="false" size="12" underline="false"/><Font background="[0,0,0]" bold="true" executable="true" family="Monospaced" foreground="[255,0,0]" name="Maple Input" opaque="false" size="12"/></Styles><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Normal"><Font executable="true"># Beispiel  Konfidenz-Intervall</Font></Text-field></Input></Group><Group><Input><Text-field layout="Normal" style="Text"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"><Font italic="false" underline="false">f:=proc(x,a,o)
return evalf(1/(o*sqrt(2*Pi))*exp(-1/2*((x-a)/o)^2));
end proc;</Font></Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+JSJmR2YqNiUlInhHJSJhRyUib0c2IkYqRipPLSUmZXZhbGZHNiMqKDkmISIiLSUlc3FydEc2IywkKiYiIiMiIiIlI1BpR0Y4RjhGMS0lJGV4cEc2IywkKiYjRjhGN0Y4KiYsJjkkRjg5JUYxRjdGMCEiI0Y4RjFGOEYqRipGKg==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"><Font italic="false" underline="false">F:=proc(x,a,o)
return evalf(1/(o*sqrt(2*Pi))*int(exp(-1/2*((t-a)/o)^2),t=-infinity..x));
end proc;</Font></Text-field><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+JSJGR2YqNiUlInhHJSJhRyUib0c2IkYqRipPLSUmZXZhbGZHNiMsJC0lJGludEc2JC0lJGV4cEc2IywkKiYjIiIiIiIjRjkqJiwmJSJ0R0Y5OSUhIiJGOjkmISIjRjlGPy9GPTssJCUpaW5maW5pdHlHRj85JComRkBGPy0lJXNxcnRHNiMsJComRjpGOSUjUGlHRjlGOUY/RipGKkYq</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"><Font italic="false" underline="false">F(12,10,2)-F(5,10,2);</Font></Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMkIisrM05eJCkhIzU=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"><Font italic="false" underline="false">F(c,0,1)=1.95/2;</Font></Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMvLCYqJiQiKygqKioqKioqXCEjNSIiIi0lJGVyZkc2IywkKiYkIis1eTFycUYoRiklImNHRilGKUYpRilGJkYpJCIrKysrXSgqRig=</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"><Font italic="false" underline="false">R0 := solve({.4999999997*erf(.7071067810*c)+.4999999997 = .9750000000});</Font></Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+JSNSMEc8Iy8lImNHJCIrJipSJypmPiEiKg==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">Gamma;</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiNJJkdhbW1hRzYi</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">evalf(GAMMA(1/2));</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMkIiteUVhzPCEiKg==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">normConst:=proc(n)
1/2^n*gamma(</Text-field></Input><Input><Text-field prompt="&gt; " style="Maple Input">chif:</Text-field></Input><Output><Text-field layout="Error" style="Error">Error, `:` unexpected
</Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">#chi:</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">an:= n -&gt; 1/(2^(n/2)*GAMMA(n/2));
chif:= (n,z) -&gt; an(n)*z^((n-2)/2)*exp(-z/2):
chiF:= (n,z) -&gt; evalf(int(chif(n,t),t=0..z)):</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiM+SSNhbkc2ImYqNiNJIm5HRiVGJTYkSSlvcGVyYXRvckdGJUkmYXJyb3dHRiVGJSomKSIiIywkOSQjIiIiRi4hIiItSSZHQU1NQUc2JEkqcHJvdGVjdGVkR0Y3SShfc3lzbGliR0YlNiNGL0YzRiVGJUYl</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">fsolve(chiF(7,x) = 0.05/2, x);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMkIisiPnApKm8iISIq</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">#student:
an:= an-&gt;GAMMA((n+1)/2)/sqrt(n+Pi)*GAMMA(n/2):
tvtf:=(n,t)-&gt;an(n)/(1+t^2/n)^((n+1)/2):
tvtF:=(n,t)-&gt;evalf( int(tvtf(n,u),u = -infinity..t)):</Text-field></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">tvtf(8,c1);</Text-field></Input><Output><Text-field layout="Maple Output" style="2D Output"><Equation style="2D Output">NiMqKi1JJkdBTU1BRzYkSSpwcm90ZWN0ZWRHRidJKF9zeXNsaWJHNiI2IywmSSJuR0YpIyIiIiIiI0YtRi5GLiwmRixGLkkjUGlHRidGLiMhIiJGLy1GJTYjLCRGLEYtRi4sJkYuRi4qJEkjYzFHRilGLyNGLiIiKSMhIipGLw==</Equation></Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input">fsolve(%,c1);</Text-field></Input><Output><Text-field layout="Error" style="Error">Error, (in fsolve) n is in the equation, and is not solved for
</Text-field></Output></Group><Group><Input><Text-field layout="Normal" prompt="&gt; " style="Maple Input"/></Input></Group><Text-field/><Text-field/><Text-field/></Worksheet>