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{SECT 0 {EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 57 "Lo:=(2*pi*y)^(-n/2)*
exp(-(sumsq-2*n*xbar*y+n*y^2)/(2*y));" }}{PARA 11 "" 1 "" {XPPMATH 20 
"6#>%#LoG*&),$*&%#piG\"\"\"%\"yGF*\"\"#,$%\"nG#!\"\"F,F*-%$expG6#,$*&,
(%&sumsqGF***F,F*F.F*%%xbarGF*F+F*F0*&F.F*)F+F,F*F*F*F+F0F/F*" }}}
{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 28 "yhat:=solve(diff(Lo,y)=0,y);
" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%yhatG6$,$*&%\"nG!\"\",&F(F)*$-%
%sqrtG6#,&*$)F(\"\"#\"\"\"F3*(\"\"%F3F(F3%&sumsqGF3F3F3F3F3#F3F2,$*&F(
F),&F(F)F+F)F3F7" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 36 "yhat:=(
sqrt(n^2+4*n*sumsq)-n)/(2*n);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%yh
atG,$*&%\"nG!\"\",&F'F(*$-%%sqrtG6#,&*$)F'\"\"#\"\"\"F2*(\"\"%F2F'F2%&
sumsqGF2F2F2F2F2#F2F1" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 21 "Lo
s:=subs(y=yhat,Lo);" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%$LosG*&)*(%#p
iG\"\"\"%\"nG!\"\",&F*F+*$-%%sqrtG6#,&*$)F*\"\"#F)F)*(\"\"%F)F*F)%&sum
sqGF)F)F)F)F),$F*#F+F4F)-%$expG6#,$*(,(F7F)*&%%xbarGF)F,F)F+*(#F)F6F)F
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Ls:=(2*pi*(1/n)*(sumsq-n*xbar^2))^(-n/2)*exp(-n/2);" }}{PARA 11 "" 1 "
" {XPPMATH 20 "6#>%#LsG*&),$*(%#piG\"\"\"%\"nG!\"\",&%&sumsqGF**&F+F*)
%%xbarG\"\"#F*F,F*F2,$F+#F,F2F*-%$expG6#F3F*" }}}{EXCHG {PARA 0 "> " 
0 "" {MPLTEXT 1 0 51 "nLos:=evalf(subs(\{n=100,xbar=15,sumsq=23850\},L
os));" }}{PARA 11 "" 1 "" {XPPMATH 20 "6#>%%nLosG,$*&\"\"\"F'*$)%#piG
\"#]F'!\"\"$\"+!)=v>S!$.\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 
49 "nLs:=evalf(subs(\{n=100,xbar=15,sumsq=23850\},Ls));" }}{PARA 11 "
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&!$.\"" }}}{EXCHG {PARA 0 "> " 0 "" {MPLTEXT 1 0 17 "lambda:=nLos/nLs;
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{PARA 0 "> " 0 "" {MPLTEXT 1 0 14 "-2*ln(lambda);" }}{PARA 11 "" 1 "" 
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