[UEB Maths] Another sample

[Phippen, Stephen]

To: UEB Maths Committee
From: Stephen Phippen
Date: 23 September 2005

Here is another maths example using the word indicator. This is an =
extract from a book on probability. There is the function "Pr" and the =
variable name "SE" (meaning "Standard Error"), which are distinguished =
in the print from normal algebraic letters, etc. The word indicator =
method makes this explicit, e.g. we also have the algebraic letter "E" =
which needs to be distinct from the "E" in "SE".

I have probably bent our rules a bit and brailled cases such as "n =3D =
14" without using the grade 1 passage mode; maybe you would prefer it =
the "long" way for uniformity? (I used the latter method to start with, =
then changed my mind.)

I think the example turns out exactly the same following the spacing =
method rather than the word indicator method. But using the latter, =
there is ambiguity, of course, e.g. "SE" is no longer a single item, and =
the E could be read as the algebraic letter E. Similarly, you might not =
pick up the function "Pr".

Would anyone like the print image file as before?

Stephen

                                    #A

  ,LET U SUPPOSE 9 G5]AL T "! >E ;N
OBS]VA;NS4 "<,IF ! SAMPLE SIZE IS ODD1
! M$IAN L9E W PASS "? ! M$IAN
OBS]VA;N1 : %D 2 C.T$ NEI ;,L NOR ;,H4
,) ? OBS]VA;N 4C>D$1 ;N !N REF]S TO !
EV5 NUMB] ( OBS]VA;NS REMA9+4"> ,:5
,H;5#J IS TRUE1 ! NUMB] ( RUNS ;,R HAS
A SAMPL+ 4TRIBU;N T IS APPROXIMATELY
NORMAL1 )3
    ;;;"<#AF-#AD"> ,E"<,R"> "7 (N./#B)
      "6#A
    *,,SE "7 (%N"-#A+./#B);'
  ,=3D EXAMPLE1 9 ,FIGURE #AF-#D;B1
N"7#AD1 S T "<#AF-#AD"> YIELDS3
    ;;;,E"<,R"> "7 #AD/B"6#A "7 #H
    *,,SE "7 (%#AD"-#A+./#B)
      "7 #A4HJ;'
  ,IN ,FIGURE #AF-#D;B1 ! OBS]V$ NUMB]
( RUNS IS ,R"7#D4 ,:AT ;P-VALUE =3D
,H;5#J DOES ? GIVE8 ,S9CE ;P-VALUE IS
! PROBABIL;Y ( GETT+ A VALUE Z EXTREME
Z ! "O WE'VE OBS]V$1 ! ;P-VALUE IS
"!=3DE ;;;*,PR"<R _A< #D">;'4
=0C                                    #B
,TO CALCULATE ?1 WE F/ M/ /&>DIZE !
CRITICAL VALUE ,R"7#D1 US+ ! M1N &
/&>D ]ROR3
    ;;;"<#AF-#AF> LIKE "<#AF-#AA">
      ,Z "7 (,R"-,E<,R>./*,,SE)
      ,7 (#D"-#H./#A4HJ) "7 "-#B4BB
    *,PR"<,R _@< #D"> "7 *,PR"<,Z
      _@< "-#B4BB">
      ;7#4JAC
    P-VALUE "7 #A.0;'
  ,? PROVIDES /R;G EVID;E T ! SAMPLE
IS N R&OM4

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