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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter4: Equations Of Linear Functions

Section4.5: Correlation And Causation

Problem 2AGP

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