Apps. and Interpretation for IBDP Maths Ebook 2 | Page 302

Your Practice Set – Applications and Interpretation for IBDP Mathematics
Solution
( a ) ( i ) H
0
: � � 5 A1
( ii ) H
1
: � � 5 A1
( b ) The required probability � P ( X �1 | � � 5 )
( M1 ) for valid approach
� 0.040427682 � 0.0404
A1
( c ) The required probability � P ( X � 2 | � � 6 )
( M1 ) for valid approach
�1� P ( X �1 | � � 6 ) � 0.9826487348 � 0.983
A1
( d ) 0�Y
� 1 A2
( e ) P ( Y �3 ) � 0.2251560477 ( M1 ) for valid approach
Thus , the p -value is 0.225 .
( f )
The null hypothesis is not rejected .
A1
As p-value � 0.05
.
A1
A1
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