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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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?
Expert Solution
steps

Step by step

Solved in 4 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman