The FDA regulates that fish that is consumed is allowed to contain at most 1.0 mg/kg of mercury. In Florida, bass fish were collected in 53 different lakes to measure the mean amount of mercury in the sample of fish from each lake. The data for the average amount of mercury in each lake is in table #7.3.5 ("Multi-disciplinary niser activity," 2013). Do the data provide enough evidence to show that the fish in all Florida lakes have more mercury than the allowable amount? Test at the 10% level.
In each problem show all steps of the hypothesis test using PHANTOMS. If some of the assumptions are not met, note that the results of the test may not be correct and then continue the process of the hypothesis test.
The FDA regulates that fish that is consumed is allowed to contain at most 1.0 mg/kg of mercury. In Florida, bass fish were collected in 53 different lakes to measure the mean amount of mercury in the sample of fish from each lake. The data for the average amount of mercury in each lake is in table #7.3.5 ("Multi-disciplinary niser activity," 2013). Do the data provide enough evidence to show that the fish in all Florida lakes have more mercury than the allowable amount? Test at the 10% level.
Table #7.3.5: Average Mercury Levels (mg/kg) in Fish
|
1.23 |
1.33 |
0.04 |
0.44 |
1.20 |
0.27 |
|
0.48 |
0.19 |
0.83 |
0.81 |
0.71 |
0.5 |
|
0.49 |
1.16 |
0.05 |
0.15 |
0.19 |
0.77 |
|
1.08 |
0.98 |
0.63 |
0.56 |
0.41 |
0.73 |
|
0.34 |
0.59 |
0.34 |
0.84 |
0.50 |
0.34 |
|
0.28 |
0.34 |
0.87 |
0.56 |
0.17 |
0.18 |
|
0.19 |
0.04 |
0.49 |
1.10 |
0.16 |
0.10 |
|
0.48 |
0.21 |
0.86 |
0.52 |
0.65 |
0.27 |
|
0.94 |
0.40 |
0.43 |
0.25 |
0.27 |
|
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