Solution to Assignment 1
•
Convenience Assignment
It is easiest to plant one variety on 18 plots on one side of the field and the other
variety on the 18 plots on the other side. Below is a picture of such and
assignment and the yields, in bushels per acre, for each plot. The yields and a
summary of those yields are given below.
A
130
A
149
A
139
B
155
B
137
B
145
A
149
A
133
A
152
B
131
B
147
B
136
A
141
A
156
A
137
B
146
B
132
B
148
A
150
A
142
A
155
B
136
B
152
B
133
A
139
A
155
A
139
B
147
B
137
B
153
A
155
A
138
A
150
B
137
B
145
B
136
Variety
n
mean
std. dev
A
18
144.9
8.29
B
18
141.8
7.65
(
)
(
)
(
)
(
)
(
)
659
.
2
18
1
18
1
976
.
7
1
1
difference
of
error
std.
976
.
7
6233
.
63
34
65
.
7
17
29
.
8
17
2
1
1
2
2
2
2
=
+
=
+
=
=
=
+
=
−
+
−
+
−
=
B
A
p
B
A
B
B
A
A
p
n
n
s
n
n
s
n
s
n
s
Using a twosample ttest, the value of the test statistic is
(
)
17
.
1
659
.
2
8
.
141
9
.
144
=
−
=
t
with a twosided Pvalue of 0.25. This indicates that although variety A has a
slightly higher mean yield than variety B, the two varieties are not
statistically different.
This is probably not a fair comparison. One side of the field may be more
fertile than the other or get more water than the other. There could be many
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 Fall '08
 Staff
 Statistics, Normal Distribution, Harshad number, Variety, Std Err, Std Err Mean

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