5.58 The concentration of mercury in a lake has been monitored for a number of years. Measurements taken on a weekly basis yielded an average of 1.20 mg/m (milligrams per cubic meter) with a standard deviation of .32 mg/m. Following an accident at a smelter on the shore of the lake, 15 measurements produced the following mercury concentrations. 1.60 1.77 1.61 1.08 1.07 1.79 1.34 1.07 1.45 1.59 1.43 2.07 1.16 0,85 2.11

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QUESTION 7
5.58c: State the p-value and your conclusion
Hint: L-13, p.9-10
p-value=D0.016<0.053Da --> Fail to reject HO. There is NOT significant
evidence that the mercury concentration has increased
I.
p-value=D0.016<0.05%3Da --> Reject H0. There is significant evidence
that the mercury concentration has increased
p-value%3D0.008<0.05%3Da --> Reject H0. There is significant evidence
that the mercury concentration has increased
OMp-value=D0.008<0.05=a --> Fail to reject HO. There is NOT significant
evidence that the mercury concentration has increased
Transcribed Image Text:QUESTION 7 5.58c: State the p-value and your conclusion Hint: L-13, p.9-10 p-value=D0.016<0.053Da --> Fail to reject HO. There is NOT significant evidence that the mercury concentration has increased I. p-value=D0.016<0.05%3Da --> Reject H0. There is significant evidence that the mercury concentration has increased p-value%3D0.008<0.05%3Da --> Reject H0. There is significant evidence that the mercury concentration has increased OMp-value=D0.008<0.05=a --> Fail to reject HO. There is NOT significant evidence that the mercury concentration has increased
5.58 The concentration of mercury in a lake has been monitored for a number of years.
Measurements taken on a weekly basis yielded an average of 1.20 mg/m (milligrams per
cubic meter) with a standard deviation of .32 mg/m. Following an accident at a smelter on the
shore of the lake, 15 measurements produced the following mercury concentrations.
1.60
1.77
1.61 1.08 1.07 1.79 1.34
1.07
1.45
1.59 1.43 2.07 1.16 0.85 2.11
ES ABOUT POPULATION CENTRAL VALUES
a. Give a point estimate of the mean mercury concentration after the accident.
b. Construct a 95% confidence interval on the mean mereury concentration after
the accident. Interpret this interval.
c. Is there sufficient evidence that the mean mercury concentration has increased
since the accident? Use a = .05.
d. Assuming that the standard deviation of the mercury concentration is .32 mg/m.
calculate the power of the test to detect mercury concentrations of 1.28, 1.32.
1.36, and 1.40.
Transcribed Image Text:5.58 The concentration of mercury in a lake has been monitored for a number of years. Measurements taken on a weekly basis yielded an average of 1.20 mg/m (milligrams per cubic meter) with a standard deviation of .32 mg/m. Following an accident at a smelter on the shore of the lake, 15 measurements produced the following mercury concentrations. 1.60 1.77 1.61 1.08 1.07 1.79 1.34 1.07 1.45 1.59 1.43 2.07 1.16 0.85 2.11 ES ABOUT POPULATION CENTRAL VALUES a. Give a point estimate of the mean mercury concentration after the accident. b. Construct a 95% confidence interval on the mean mereury concentration after the accident. Interpret this interval. c. Is there sufficient evidence that the mean mercury concentration has increased since the accident? Use a = .05. d. Assuming that the standard deviation of the mercury concentration is .32 mg/m. calculate the power of the test to detect mercury concentrations of 1.28, 1.32. 1.36, and 1.40.
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