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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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