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INI #L The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10µg/L). You wish to test whether water has acceptable levels of arsenic, that is, below the MCL. For the following questions, consider two options: a one-sided lower tail test of Ho: = 10 vs HA: <10 and a one-sided upper tail test of Ho: μ = 10 vs HA: μ> 10. Use a significance level of a = .05. a) Write out what a Type I and Type II error would mean for each of the two possible one-sided tests. b) The data is in: you tested 45 water samples and found a sample mean of 10.57µg/L arsenic with a sample standard deviation of 2.65µg/L. Carry out hypothesis tests for both options. c) Interpret your results from part b). d) Which of the two tests do you think is the better option, and why?

INI #L The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10µg/L). You wish to test whether water has acceptable levels of arsenic, that is, below the MCL. For the following questions, consider two options: a one-sided lower tail test of Ho: = 10 vs HA: <10 and a one-sided upper tail test of Ho: μ = 10 vs HA: μ> 10. Use a significance level of a = .05. a) Write out what a Type I and Type II error would mean for each of the two possible one-sided tests. b) The data is in: you tested 45 water samples and found a sample mean of 10.57µg/L arsenic with a sample standard deviation of 2.65µg/L. Carry out hypothesis tests for both options. c) Interpret your results from part b). d) Which of the two tests do you think is the better option, and why?

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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NT #1 The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10µg/L). You wish to test whether water has acceptable levels of arsenic, that is, below the MCL. For the following questions, consider two options: a one-sided lower tail test of Ho: = 10 vs HA: < 10 and a one-sided upper tail f= test of Hou- 10 vs HA: > 10. Use a significance level of a = .05. a) Write out what a Type I and Type II error would mean for each of the two possible one-sided tests. b) The data is in: you tested 45 water samples and found a sample mean of 10.57µg/L arsenic with a sample standard deviation of 2.65µg/L. Carry out hypothesis tests for both options. c) Interpret your results from part b). d) Which of the two tests do you think is the better option, and why?
Transcribed Image Text:NT #1 The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10µg/L). You wish to test whether water has acceptable levels of arsenic, that is, below the MCL. For the following questions, consider two options: a one-sided lower tail test of Ho: = 10 vs HA: < 10 and a one-sided upper tail f= test of Hou- 10 vs HA: > 10. Use a significance level of a = .05. a) Write out what a Type I and Type II error would mean for each of the two possible one-sided tests. b) The data is in: you tested 45 water samples and found a sample mean of 10.57µg/L arsenic with a sample standard deviation of 2.65µg/L. Carry out hypothesis tests for both options. c) Interpret your results from part b). d) Which of the two tests do you think is the better option, and why?
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