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Assignment 1 (Due 5pm Thursday, 09/08/11)
1.
In an experiment, two types of fertilizer mixtures
A
and
B
are used to treat six bean plants,
with each randomly applied to three of the plants. The yields of the plants (in pounds) are
given below. The goal of the experiment is to test if
A
and
B
have diﬀerent eﬀects on bean
plant yield.
ABBABA
354376
a) Obtain the randomization distribution.
b) Calculate the
P
value using the randomization test.
c) Calculate the
P
value using twosample
t
test.
d) Compare the results of b) and c).
2.
You are asked to design an experiment to compare the typing eﬃciencies of three diﬀerent
types of keyboards denoted by
A
,
B
and
C
. Two typists, denoted by
T
1
and
T
2
, will be
employed and six manuscripts
m
1
,
m
2
,
m
3
,
m
4
,
m
5
and
m
6
will be used in this experiment.
a) Give your experimental plan.
b) Which principles you have used when designing the experiment? Comment on their ben
eﬁts in this experiment.
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 Fall '08
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