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Illinois college male weight. (6 points) A researcher wants to know the average weight of the typical college male. The researcher is able to get

Illinois college male weight. (6 points)
A researcher wants to know the average weight of the typical college male. The researcher
is able to get a simple random sample from 50, 4 year colleges and universities in Illinois.
This researcher is only able to get one, sample of five men weights from each of the 50
Illinois institutions of higher education. Below is the raw weight data from the 50 samples.
These sample are a good representation of Illinois college males.
Find the two unbiased estimators of the weight of the Illinois college males.
Sample # # 1 # 2 # 3 # 4 # 5
1 213.1 144.4 92.4 220.7 137.4
2 195.8 147.8 120.4 154.6 166.5
3 184.2 197.1 126.6 212.6 173.1
4 128.6 185.3 133.6 199.4 158.2
5 189.7 213.7 137.9 180.4 176.9
6 206.0 190.1 142.7 195.9 219.0
7 188.2 200.9 147.8 177.0 187.6
8 157.1 164.0 148.6 170.5 257.6
9 190.6 230.3 148.9 181.8 177.2
10 121.9 207.3 156.4 158.9 110.2
11 229.1 233.6 157.0 178.9 188.2
12 215.9 171.4 157.7 222.1 159.9
13 141.8 197.1 158.4 201.0 162.7
14 232.7 180.9 158.5 194.8 179.1
15 148.7 148.7 160.3 180.2 177.8
16 174.2 217.5 161.4 156.6 156.7
17 163.5 146.1 161.8 181.3 136.9
18 180.8 155.4 162.5 154.1 212.9
19 203.1 208.1 163.0 173.4 159.0
20 199.5 138.1 164.1 204.4 169.3
21 161.9 177.9 170.9 158.0 199.0
22 143.1 150.1 171.3 196.5 220.0
23 143.0 192.2 171.9 192.6 144.7
24 162.2 164.2 176.1 204.8 195.4
25 216.2 201.6 178.4 185.4 159.7
26 136.7 179.2 178.6 214.7 155.9
27 236.2 140.7 179.0 212.7 143.0
28 235.2 172.0 180.4 168.0 230.1
29 146.0 204.2 181.4 180.6 274.1
30 187.7 150.4 190.1 200.2 202.1
31 197.9 182.5 192.2 141.6 209.3
32 237.5 184.7 195.9 172.2 141.9
33 183.9 219.8 199.7 162.9 209.4
34 192.6 128.9 202.8 216.3 164.1
35 236.3 198.0 204.3 177.5 183.0
36 195.3 186.4 204.5 200.7 164.2
37 163.0 223.4 205.2 203.0 144.4
38 223.1 136.7 206.2 169.2 218.8
39 176.9 170.2 207.2 218.7 205.5
40 198.3 179.4 208.3 149.8 205.1
41 166.5 209.8 209.3 205.8 211.6
42 105.4 231.0 210.5 153.3 169.7
43 190.6 160.8 210.7 181.6 131.0
44 205.9 208.6 213.9 123.8 230.2
45 162.3 160.6 214.9 168.9 170.2
46 177.6 217.3 218.2 201.5 172.0
47 160.4 186.4 222.1 189.4 165.4
48 193.3 171.9 222.5 221.0 142.8
49 172.1 196.8 224.8 240.2 198.0
50 229.1 152.3 266.6 203.8 191.5

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