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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 207
/
3
/
a
/
ii
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Past exam of the mathematics course of the University of Cambridge
2021
iii
Paper 207
3
a
2026-09-28
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Solution
ii
Solution
0
0
0
ii
For
k
=
4
, the optimum is
q
=
2
. The supplied two-sided
sample size
formula
gives
n
k
=
2
1
+
2
(
2
2
)
2
(
0.84
+
1.96
)
2
=
2
3
(
7.84
)
=
11.76
,
(1)
so round upward to
12
patients in each new-
treatment
arm and take
n
0
=
24
. The analyzed total is therefore
n
tot
=
4
(
12
)
+
24
=
72.
(2)
Allowing for ten percent attrition requires
⌈
0.9
72
⌉
=
80
(3)
patients to be recruited.
Ancestors
(11)
a
3
Paper 207
iii
2021
Past exam of the mathematics course of the University of Cambridge
Mathematics course of the University of Cambridge
Course of the University of Cambridge
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