experiment in the coming year on a 10 acre large plot s similar because the water and minerals are the sam below along with other computed statistics. ON delta: C-G 21

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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A company is trying to convince farmers from all over the country who all use the same popular brand of fertilizer that their new brand CORNPLOSION will lead to an increased crop yield.
To compare which fertilizer is better, the farmers agree to an experiment in the coming year on a 10 acre large plot on their land. They will divide the plot down the middle and apply their regular fertilizer
to one half and the CORNPLOSION to the other.
It is believed that within different regions of the country, soil is similar because the water and minerals are the same in an area.
The yields of corn (measured in bushels per acre) is recorded below along with other computed statistics.
Field
Popular OLD CORNPLOSION delta: C-G
1
15
21
6.
2
12
16
4
8.
7
-1
4
22
30
8
14
12
-2
25
33
8
7
11
14
3
12
21
20
22
2
10
18
16
-2
MEAN
15.70
19.20
3.50
Std Dev
5.40
7.96
4.22
Transcribed Image Text:A company is trying to convince farmers from all over the country who all use the same popular brand of fertilizer that their new brand CORNPLOSION will lead to an increased crop yield. To compare which fertilizer is better, the farmers agree to an experiment in the coming year on a 10 acre large plot on their land. They will divide the plot down the middle and apply their regular fertilizer to one half and the CORNPLOSION to the other. It is believed that within different regions of the country, soil is similar because the water and minerals are the same in an area. The yields of corn (measured in bushels per acre) is recorded below along with other computed statistics. Field Popular OLD CORNPLOSION delta: C-G 1 15 21 6. 2 12 16 4 8. 7 -1 4 22 30 8 14 12 -2 25 33 8 7 11 14 3 12 21 20 22 2 10 18 16 -2 MEAN 15.70 19.20 3.50 Std Dev 5.40 7.96 4.22
Which of the following would be the correct test statistic calculation and p value for a test whose alternative hypothesis was that the CORNPLOSION was better?
19.20 - 15.70
= 1.151
5.42, 5.42
+
10
Oa.
10
and the p value was approximately 0.8603
19.20 - 15.70
1.151
5.42 5.42
Ob.
10
10
and the p value was approximately 0.1397
3.50
-=2.621
´ 4.22
OC.
10
and the p value was approximately 0.0139
3.50
-=2.621
O d.
4.22
V10
and the p value was approximately 0.9861
Transcribed Image Text:Which of the following would be the correct test statistic calculation and p value for a test whose alternative hypothesis was that the CORNPLOSION was better? 19.20 - 15.70 = 1.151 5.42, 5.42 + 10 Oa. 10 and the p value was approximately 0.8603 19.20 - 15.70 1.151 5.42 5.42 Ob. 10 10 and the p value was approximately 0.1397 3.50 -=2.621 ´ 4.22 OC. 10 and the p value was approximately 0.0139 3.50 -=2.621 O d. 4.22 V10 and the p value was approximately 0.9861
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