Apps. and Interpretation for IBDP Maths Ebook 1 | Page 393

Answers
(f) (i)
1
25
(ii)
8
25
(iii)
1
8
(g)
1139
2475
99.3 (a) (i) 8
(ii) 5.5
(iii) 1� X � 5
(b) (i) a � 100 , b � 60
(ii) 6.5
(iii) 3.91
(c)
7
50
(d) (i) H
0
: The number of
dolls owned by a
female student and
her nationality are
independent
(ii) H
1
: The number of
dolls owned by a
female student and
her nationality are
not independent
(e) 4
(f) p-value � 0.0623
(g) 8.95
(h) The null hypothesis is not
rejected as p-value � 0.05
99.4 (a) (i) 25.5
(ii) 10.5
(iii) 1� X � 10
(b) (i) a � 30 , b � 146,
n � 500
(ii) 14.42
(iii) 8.25
(c)
14
15
(d) (i) H
0
: The age of an
interviewee and the
number of yogurt
parfait cups ate are
independent
(ii) H
1
: The age of an
interviewee and the
number of yogurt
parfait cups ate are
not independent
(e) 6
(f)
p-value �1.44�
10
�31
(g) 158
(h) The null hypothesis is
rejected as p-value � 0.01
Exercise 100
100.1 (a) (i) H
0
: �1 � �2
(ii) H
1
: �1 � �2
(b) p-value � 0.365
(c) � 0.350
(d) The null hypothesis is not
rejected as p-value � 0.1
(e)
3
8
(f) (i)
1
3
(ii)
2
3
100.2 (a) The number of times for a
person to smoke in a day
are normally distributed
(b) H
1
: �1 � �2
(c) p-value � 0.00556
(d) 3.11
(e) The null hypothesis is
rejected as p-value � 0.01
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