Quiz 5

Statistics in Sports (Math 192) - Quiz 5
Spring 2009 - Brad Hartlaub
Directions: Please answer all of the questions below. The point values for each problem are
indicated in parentheses. Partial credit will be awarded if you show your work. Be careful not to
spend too much time on anyone part. You may not use any notes or the text, but you can use our
course web page and Minitab software.
1. The table below gives some situational OBPs for Rickey Henderson in the 1999 baseball
season. This table shows how Rickey did for day and night games, for games home and away,
for games played on grass and turf fields, for games played in domed and open ballparks, and
against left- and right-handed pitchers. The data are also provided in
P:\Data \Math \Hartlaub\SportsStats\Rickey Henderson.mtw.
'It li2
/~3'*
<3...c:<;s
7/f
/5';.
9{,(
;Jgr::,
22
10
43
74
/6>
19~
c?5",
~7.-tJ(
871
o/t7'
7fj
712
f
48
238
PA
BB
~g7
5"3
/52*
C;6
<J7.f
28
105
34
200
21
54
333
144
60
72
364
395
61
294
OBP
AB
.400
.417
1~3
3»
~;;f
.472
~;UI
.408
.17!:lc
fiAu
433
.403
.376
.481
¥67
.462
.490
Breakdown
a. For each breakdown, compute the number of (approximate) plate appearances (PA). (10)
t/~/j 1/ /~
~e
-/Ie ~
It a /ov~.
b. Let Pday denote Rickey's on-base probability when he is playing a day game and
let Pnight denote his on-base probability when he's playing at night. Using the appropriate data,
construct a 95% confidence interval for the difference between
Pday
and
Pnight·
Can you conclude
9/ J;
that Rickey really has a higher on-base probability at night games? Explain. (20)
~lit!.I'~/tlfj;'-W
-I1e "u~/e~ ,;1 f(me~S(,S' (iMN
> ;t.c/c /I,"./r/'~,>
11%CI;t,~"
~e
;"-'7 ~
15%
-
('.1 10/(l
J~ ~
&',4&
IS
C'Ov1v?O/
M 64ce)
oJ
vo-/e
-v>j17 /3:
/r",4b~ho'?f [;::-
/~~
//74/
the
dome/open OBPs, and the right/left OBPs. Be sure to identify the appropriate parameters for
fI/1!
J
.
/,nl
IV
I~I
gg ?RL
2Jill
6/T
r 2/1i>:; //7
/71
>2
~
/
/n~~6r;4o.-'ls
j)~
..
96 I
'121
'7]
/N6"~ .<q",,/r) ,(;"'c,o e,oRJ i5i-?C;{-4/
('tJ/?C"'4~
~c:-I
Lee-/" ~o,) Q ~/'(-'r
(-.
tJ/1c. 64>(!
/erc(/.:/o
Using the
same method as in (b), compare the home/away OBPs, the grass/turfOBPs,
each situation.
- 10 each
situatiJ3.)./
/
;ft€ (40
/Id::>
t:s,'(!
S-(c.ftY0C5
;;~
2",4 /95
1/5./
2§" L/6?
>3
J
fl/i
[/$:;
2A
/fie
/~Va.</¥1eh,-S ;:~- eo.c4 5/4dcJ<7
4)
(~tla!l/
a
I
!r,.{l;-
-
/7o(
(<;
.Ii ~ !J5"%
I'''''
fJ --1/4czJe
h« ve
;f{-d~~'i
IS
~(J'
5q~C,-~)Oi
-1(/.)(> ~rd!a Ir;{f
~,?
L/?,p
.?
- /4wt?-"Y
'1
~_
/ /-k/llE
/s (-4/1();l6f;' -"Ct)?)6760/((j)
i!er()
~me;::
~/~c/ ~ ~
hoYJ'tfl.
:;r%
Home/Away
~)(47{
hr
j?arl b~
f~
/'c4
C7t1-(J
~
5/:~ce
£
/'
i/V'(>
.,q::c/'
v/,04-?ct'
47'er w;,'t'~ h'('
CJ8'~ /5
jlla.f~ C/.vJ7 j'4</Vff7.5".
Dome/Open
;J;'%
~~t'
-
?~/,'/.)
,,/~~ 7t?) j';;//ce 2-erCJ
,-"7
de' f:5% C'r .we
(- ~og7fdj~
/5 fA (' Iu c4
do /)01
~L,I;
.-dJ
(?i.//'c4.., (f'
4o.-v('
f/-cirr 'f t?,4-lHP j//oici/;!7
dri,4r5 //) d,.-wt"s O#? / ~/<3'/1
.f
4 c/,v wf
r.
2. The data provided in P:\Data\Math\Hartlaub\SportsStats\HomeAway2008.mtw
give batting
statistics for a sample of20 players in the 2008 season. The first column gives the name of the
player, the next three columns give the number of at-bats, hits, and batting average for all games
played at home, and the next three columns give the number of at-bats, hits, and batting average
for all games played away from home. Does this sample provide significant evidence that
players generally hit better at home? If so, by how much on the average? Provide a complete
statistical justification.
4
(30)
/~('rJ
Ie
jJaired
I
c/II
;J~e--11
eve
f'a.-c>
=
R. /del ,.(
j/'1era(f('
j)/J
dr fferf/d('e
a..,/
b(
/~
OO/e
rrfJl
//;r
'1::-Ad _I~
<P
()tf)
If>
po.r/
0'
tJ
~""'CJe -"Vleq-?
CM
;Atfa./ ~
~ .io?/l//~..
~
cZ"c/ 4 jl~~
J£cl ~~c~k
c?~f~CJ.
C/
LeT"
f~
/7pr wi
i/J
(1
d;):l,-p~<::~ /Y?
£-",ce." 77 > . 0:f
'M'£~
0/66
//«>r
dfe4
6e
,ffJu,/
/I- t~
kqL7
/
Ci/ ~""'(" a ",,/ao./')J::
'?7-1'J ~
I,i',,-~i-' ~ · <; 77
00
/,71/
/
/_ .• ()t'Jbf.
/~n/C//
-
/4
h~/;[Yer,,(
c//J1-,
C/n:" exC/->(,",>/
if or
i.Jere<h/
i:= /. 1/0
7
"j,if
;::"c~ I-/I'J
~
..ve
>()
ql./l./o /,)
:~~.;L'
h',&'s at "'0/
e5/A4~/
~f 41-
/ff
,44eo..e/7
/j-