[UEB Maths] Another sample

[Janet Reynolds]

Thanks Stephen for these, I appreciate the work you have put in and we
will all have a close look at both examples. It would be useful to see
the print image file for the probability one thanks. The trig image file
came through fine.
Janet


-----Original Message-----
From: uebmaths-admin@nbp.org [mailto:uebmaths-admin@nbp.org] On Behalf
Of Phippen, Stephen
Sent: Saturday, 24 September 2005 3:51 a.m.
To: uebmaths@nbp.org
Subject: RE: [UEB Maths] Another sample

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

                                    #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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