1. Foresters want to estimate the average age of trees in a stand. Determining age is cumbersome because one needs to count the tree rings on a core taken from the tree. In general, though, the older the tree, the larger the diameter, and diameter is easy to measure. The foresters measure the diameter of all 1132 trees and find that the population mean equals 10.3. They then randomly select 20 trees for age measurement. Tree No. Diameter, x Age, y Tree No. Diameter, x Age, y 1 12.0 125 11 5.7 61 23456788 11.4 119 12 8.0 80 7.9 83 13 10.3 114 9.0 85 14 12.0 147 10.5 99 15 9.2 122 7.9 117 16 8.5 106 7.3 69 17 7.0 82 10.2 133 18 10.7 88 9 11.7 154 19 9.3 97 10 11.3 168 20 8.2 99 a. Plot the data. b. Estimate the population mean age of trees in the stand and give an approximate standard error for your estimate. Why did you use the method of estimation that you chose? c. Estimate the population total age of trees in the stand and give an approximate standard error for your estimate.

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1. Foresters want to estimate the average age of trees in a stand.
Determining age is cumbersome because one needs to count the tree
rings on a core taken from the tree. In general, though, the older the tree,
the larger the diameter, and diameter is easy to measure. The foresters
measure the diameter of all 1132 trees and find that the population mean
equals 10.3. They then randomly select 20 trees for age measurement.
Tree No.
Diameter, x
Age, y
Tree No.
Diameter, x
Age, y
1
12.0
125
11
5.7
61
23456788
11.4
119
12
8.0
80
7.9
83
13
10.3
114
9.0
85
14
12.0
147
10.5
99
15
9.2
122
7.9
117
16
8.5
106
7.3
69
17
7.0
82
10.2
133
18
10.7
88
9
11.7
154
19
9.3
97
10
11.3
168
20
8.2
99
a. Plot the data.
b. Estimate the population mean age of trees in the stand and give an
approximate standard error for your estimate. Why did you use the
method of estimation that you chose?
c. Estimate the population total age of trees in the stand and give an
approximate standard error for your estimate.
Transcribed Image Text:1. Foresters want to estimate the average age of trees in a stand. Determining age is cumbersome because one needs to count the tree rings on a core taken from the tree. In general, though, the older the tree, the larger the diameter, and diameter is easy to measure. The foresters measure the diameter of all 1132 trees and find that the population mean equals 10.3. They then randomly select 20 trees for age measurement. Tree No. Diameter, x Age, y Tree No. Diameter, x Age, y 1 12.0 125 11 5.7 61 23456788 11.4 119 12 8.0 80 7.9 83 13 10.3 114 9.0 85 14 12.0 147 10.5 99 15 9.2 122 7.9 117 16 8.5 106 7.3 69 17 7.0 82 10.2 133 18 10.7 88 9 11.7 154 19 9.3 97 10 11.3 168 20 8.2 99 a. Plot the data. b. Estimate the population mean age of trees in the stand and give an approximate standard error for your estimate. Why did you use the method of estimation that you chose? c. Estimate the population total age of trees in the stand and give an approximate standard error for your estimate.
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