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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 BOUT 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 mercury 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.

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 BOUT 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 mercury 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.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.
QUESTION 8 5.58d: What is the power of the test for Ha =1.40 ? Use 3 decimals for your answer Hint: L-13, p12-13
Transcribed Image Text:QUESTION 8 5.58d: What is the power of the test for Ha =1.40 ? Use 3 decimals for your answer Hint: L-13, p12-13
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