Upload
ldlewis
View
10
Download
1
Embed Size (px)
DESCRIPTION
sample stat exam questions
Citation preview
3DJH���RI���
8VHU�1DPH� BBBBBBBBBBBBBBBBBBBB,QVWUXFWRU� BBBBBBBBBBBBBBBBBBBB 'DWH�� BBBBBBBB�SULQW�FOHDUO\�
'LUHFWLRQV
• 1HDWO\�ZULWH�\RXU�UHVSRQVHV�LQ�WKH�VSDFHV�SURYLGHG��8VH�D�EOXH�RU�EODFN�SHQ��'RQW�ZULWHLQ�WKH�PDUJLQV�
• 5HPHPEHU�WR�FRPSOHWH�WKH�VXEPLVVLRQ�LQIRUPDWLRQ�RQ�HYHU\�SDJH�\RX�WXUQ�LQ�
6HFWLRQ�,,��)UHH�5HVSRQVH�����TXHVWLRQV�����SRLQWV�����PLQXWHV
�� $QQLH�LV�D�EDVNHWEDOO�SOD\HU�ZKR�PDNHV��RQ�DYHUDJH������RI�KHU�IUHH�WKURZV��$VVXPHHDFK�VKRW�LV�LQGHSHQGHQW�DQG�WKH�SUREDELOLW\�RI�PDNLQJ�DQ\�JLYHQ�VKRW�LV�����
$� :KDWV�WKH�SUREDELOLW\�$QQLH�ZLOO�PLVV�WKUHH�VWUDLJKW�IUHH�WKURZV�EHIRUH�VKHPDNHV�RQH"��,I�\RX�XVH�D�FDOFXODWRU�WR�JHW�\RXU�DQVZHU��ZULWH�\RXU�DQVZHU�LQVWDQGDUG�QRWDWLRQ��QRW�FDOFXODWRU�QRWDWLRQ������SRLQWV�
%� 'XULQJ�D�VHDVRQ��$QQLH�WDNHV�����IUHH�WKURZV��:KDWV�WKH�H[DFW�ELQRPLDOSUREDELOLW\�VKHOO�PDNH�DW�OHDVW�����RXW�RI�����RI�WKHVH�WKURZV"����SRLQWV�
AP StatisticsTest: Binomial Situations and Sampling Distributions
3DJH���RI���
8VHU�1DPH� BBBBBBBBBBBBBBBBBBBB,QVWUXFWRU� BBBBBBBBBBBBBBBBBBBB 'DWH�� BBBBBBBB�SULQW�FOHDUO\�
&� )RU�SDUW�%��DUH�WKH�FRQGLWLRQV�WKDW�SHUPLW�\RX�WR�XVH�D�QRUPDO�DSSUR[LPDWLRQ�WRWKH�ELQRPLDO�VDWLVILHG"�([SODLQ�����SRLQWV�
'� 5HGR�SDUW�%�XVLQJ�D�QRUPDO�DSSUR[LPDWLRQ��ZLWKRXW�FRQWLQXLW\�FRUUHFWLRQ��WR�WKHELQRPLDO��'UDZ�D�VNHWFK�RI�WKH�VLWXDWLRQ��GUDZ�WKH�GLVWULEXWLRQ�DQG�VKDGH�WKHDUHD�UHSUHVHQWLQJ�WKH�SUREDELOLW\�\RXUH�ILQGLQJ�����SRLQWV�
AP StatisticsTest: Binomial Situations and Sampling Distributions
3DJH���RI���
8VHU�1DPH� BBBBBBBBBBBBBBBBBBBB,QVWUXFWRU� BBBBBBBBBBBBBBBBBBBB 'DWH�� BBBBBBBB�SULQW�FOHDUO\�
(� 5HGR�SDUW�%�XVLQJ�D�QRUPDO�DSSUR[LPDWLRQ��ZLWK�FRQWLQXLW\�FRUUHFWLRQ��WR�WKHELQRPLDO��
�� $�PDJD]LQH�UHSRUWV�WKDW�WKH�DYHUDJH�ERZOLQJ�VFRUH�IRU�OHDJXH�ERZOHUV�LQ�WKH�8QLWHG6WDWHV�LV�����ZLWK�D�VWDQGDUG�GHYLDWLRQ�RI�����DQG�WKDW�WKH�VFRUHV�DUH�DSSUR[LPDWHO\QRUPDOO\�GLVWULEXWHG�
$� 6WDWH�WKH�VKDSH��WKH�PHDQ��DQG�WKH�VWDQGDUG�GHYLDWLRQ�RI�WKH�PHDQ� [ �RI���ERZOHUV�VHOHFWHG�DW�UDQGRP��-XVWLI\�HDFK�VWDWHPHQW�E\�VKRZLQJ�\RXU�ZRUN�RULGHQWLI\LQJ�WKH�WKHRUHP�WKDW�WHOOV�\RX�\RXU�DQVZHU�LV�FRUUHFW�����SRLQWV�
%� :KDWV�WKH�SUREDELOLW\�WKDW�D�UDQGRP�VDPSOH�RI����ERZOHUV�ZRXOG�KDYH�DQDYHUDJH�VFRUH�JUHDWHU�WKDQ����"����SRLQWV�
AP StatisticsTest: Binomial Situations and Sampling Distributions
3DJH���RI���
8VHU�1DPH� BBBBBBBBBBBBBBBBBBBB,QVWUXFWRU� BBBBBBBBBBBBBBBBBBBB 'DWH�� BBBBBBBB�SULQW�FOHDUO\�
&� :KDWV�WKH�SUREDELOLW\�D�UDQGRP�VDPSOH�RI�����ERZOHUV�ZLOO�KDYH�DQ�DYHUDJHVFRUH�JUHDWHU�WKDQ����"����SRLQWV�
�� 7KH�IROORZLQJ�LV�D�KLVWRJUDP�RI�WKH�ILUVW�WHQ�WHUPV�RI�D�JHRPHWULF�GLVWULEXWLRQ�ZLWK�S� ����
7KH�PHDQ�RI�WKLV�GLVWULEXWLRQ�LV�����DQG�WKH�VWDQGDUG�GHYLDWLRQ�LV�DSSUR[LPDWHO\������
$� :KDWV�WKH�VKDSH�RI�WKH�GLVWULEXWLRQ�RI�VDPSOH�PHDQV�IRU�VLPSOH�UDQGRPVDPSOHV�RI�VL]H���GUDZQ�IURP�WKLV�GLVWULEXWLRQ"�:KDW�DUH�WKH�PHDQ�DQG�WKHVWDQGDUG�GHYLDWLRQ�RI�WKH�VDPSOLQJ�GLVWULEXWLRQ"����SRLQWV�
AP StatisticsTest: Binomial Situations and Sampling Distributions
3DJH����RI���
8VHU�1DPH� BBBBBBBBBBBBBBBBBBBB,QVWUXFWRU� BBBBBBBBBBBBBBBBBBBB 'DWH�� BBBBBBBB�SULQW�FOHDUO\�
%� :KDWV�WKH�VKDSH�RI�WKH�GLVWULEXWLRQ�RI�VDPSOH�PHDQV�IRU�VLPSOH�UDQGRPVDPSOHV�RI�VL]H����GUDZQ�IURP�WKLV�GLVWULEXWLRQ"����SRLQWV�
&�
7,����VFUHHQV�DUH�XVHG�ZLWK�WKH�SHUPLVVLRQ�RI�WKH�SXEOLVKHU��&RS\ULJKW��������7H[DV,QVWUXPHQWV��,QFRUSRUDWHG�
���
AP StatisticsTest: Binomial Situations and Sampling Distributions
3DJH����RI���
)RUPXODV<RX�PD\�UHIHU�WR�WKHVH�GXULQJ�WKH�
)RUPXODH�IRU�%DVLF�'HVFULSWLYH�6WDWLVWLFV
Q
[[ L∑=
����
�[[
QV L[ −
−= ∑
������
������
��
�
���
��
−+−
−+−=
VQVQVS
[EE\ ��Ö +=
∑∑
−
−−=
����
����
[[
\\[[E
L
LL
[E\E �� −=
−
−−
= ∑\
L
[
L
V\\
V[[
QU
��
[
\
V
VUE =�
�
�
�
��
�
�Ö�
∑
∑
−
−−
=[[
Q
\\
V
L
LL
E
AP StatisticsTest: Binomial Situations and Sampling Distributions
test.
3DJH����RI���
)RUPXODH�IRU�3UREDELOLW\
�������� %$3%3$3%$3 ∩−+=∪
����
�_�%3
%$3%$3
∩=
LL[ 3[;( ∑== µ��
( ) L[L[ 3[;9DU ���� µσ −∑==
,I��;��KDV�D�ELQRPLDO�GLVWULEXWLRQ�ZLWK�SDUDPHWHUV�Q�DQG�S��WKHQ�
( ) NQN SSNQ
N;3 −−
== ���
QS[
=µ
( )SQS[
−= �σ
SS
=Ö
µ
( )Q
SSS
−= �Ö
σ
,I�;�KDV�D�JHRPHWULF�GLVWULEXWLRQ�ZLWK�SDUDPHWHUV�Q�DQG�S��WKHQ�
( ) ( )ppnXP n 11)( −−==ZKHUHQ� �WKH�QXPEHU�RI�WKH�WULDO�WKDW�\LHOGV�WKH�ILUVW�VXFFHVVS� �WKH�SUREDELOLW\�RI�VXFFHVV�IRU�HDFK�WULDO
AP StatisticsTest: Binomial Situations and Sampling Distributions
3DJH����RI���
,I��;��KDV�D�QRUPDO�GLVWULEXWLRQ�ZLWK�PHDQ�µ�DQG�VWDQGDUG�GHYLDWLRQ�σ��WKHQ��
µµ =[
Q[
σσ =
AP StatisticsTest: Binomial Situations and Sampling Distributions
3DJH����RI���
)RUPXODH�IRU�,QIHUHQWLDO�6WDWLVWLFV
6WDQGDUGL]HG�WHVW�VWDWLVWLF��HVWLPDWH�RI�GHYLDWLRQ�VWDQGDUG
SDUDPHWHUHVWLPDWH −
&RQILGHQWLDO�LQWHUYDO��HVWLPDWH� ± ��FULWLFDO�YDOXH�� • ��VWDQGDUG�GHYLDWLRQ�RI�HVWLPDWH�
6LQJOH�6DPSOH
���������������6WDWLVWLF �����6WDQGDUG�'HYLDWLRQ
��������0HDQ�������������������Q
σ
��������3URSRUWLRQ ������������( )Q
SS −�
7ZR�6DPSOH
��������������������6WDWLVWLF ������������������6WDQGDUG�'HYLDWLRQ
�������������'LIIHUHQFH�RI�PHDQV��������������XQHTXDO�YDULDQFHV� ���
�
�
�
�
�
�
σσ+
�������������'LIIHUHQFH�RI�PHDQV�����������������HTXDO�YDULDQFH�
��
+σ
�����������'LIIHUHQFH�RI�SURSRUWLRQV����������������XQHTXDO�YDULDQFH� ������
�
��
�
�� ������Q
SSQ
SS −+
−
�����������'LIIHUHQFH�RI�SURSRUWLRQV����������������HTXDO�YDULDQFH� �������� ( )
��
���
QQSS +−
&KL�VTXDUH�WHVW�VWDWLVWLF� �( )∑ −
H[SHFWHGH[SHFWHGREVHUYHG �
AP StatisticsTest: Binomial Situations and Sampling Distributions