Your Practice Set – Applications and Interpretation for IBDP Mathematics
Part III Solution
( e ) ( 1 ) Let �d , d �x � y be the mean of the differences of the numbers of goals scored by Rodrigo and Thiago . H : � � 0
( 2 ) H
1
: �d
� 0
0 d
( 3 ) p-value � 0.1534961923
( 4 ) 1.10
p-value � 0.153
( 5 ) The null hypothesis is not rejected . As p-value � 0.05 .
( f ) |
( 1 ) |
The numbers of goals scored by the two players follow a bivariate normal |
|
|
distribution . |
( 2 ) H
0
: � � 0
( 3 ) H
1
: � � 0
( 4 ) p-value � 0.0918559883 p-value � 0.0919
( 5 ) The null hypothesis is rejected .
As p-value � 0.1.
( g ) ( 1 ) s( n) � �0.5429292929 n � 5.597402597 n �9.883477633 n �25.57142857
3 2
s n n n n
3 2
( ) � �0.542929 �5.59740 �9.88348 � 25.5714
( 2 ) x n y n n n
2
( ) � ( ) � ( �1.30952381 �12.28571429 � 2.642857143 ) � � � � �
3 2 ( 0.4621212121n 5.816017316n 18.00757576n
24.21428571 ) x( n) � y( n) � �0.4621212121 n � 4.506493506 n �5.72186147 n �21.57142857 Thus , s( n) �x( n) � y( n) is not true .
3 2
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