Apps. and Interpretation for IBDP Maths Ebook 1 | Page 361

Solution
(a) (i) H
0
: �1 � �2
A1 N1
(ii) H
1
: �1 � �2
A1 N1
(b) p-value � 0.0153007379
(A1) for correct value
p-value � 0.0153
A1 N2
(c) 2.38 A1 N1
(d) The null hypothesis is rejected. A1
As p-value � 0.05 . A1 N2
(e)
The required probability
8
� (A1) for correct formula
8 � 2
4
� A1 N2
5
(f) (i) The required probability
� 2 �� 6�
� � �� �
(A1) for correct formula
�10 �� 8 �
3
� A1 N2
20
[2]
[2]
[1]
[2]
[2]
(ii)
The required probability
� 2 �� 6 � � 2 �� 2 � � 8 �� 6 �
� � �� � � � �� � � � �� � (A1) for correct formula
�10 �� 8 � �10 �� 8 � �10 �� 8 �
4
� A1 N2
5
[4]
23
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