NT #1The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10ug/L).You wish to test whether water has acceptable levels of arsenic, that is, below the MCL. For thefollowing questions, consider two options: a one-sided lower tail test of H, : u10 and a one-sided upper tail test of Ho : u = 10 vs H : u> 10. Use a significance level of a == 10 vs HA : µ<.05.a) Write out what a Type I and Type II error would mean for each of the two possible one-sidedtests.b) The data is in: you tested 45 water samples and found a sample mean of 10.57ug/L arsenicwith a sample standard deviation of 2.65µg/L. Carry out hypothesis tests for both options.c) Interpret your results frompart b).d) Which of the two tests do you think is the better option, and why?

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Description: NT #1The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10ug/L).You wish to test whether water has acceptable levels of arsenic, that is, below the MCL. For thefollowing questions, consider two options: a one-sided lowe

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The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10ug/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 H, : u = 10 vs HA : u < 10 and a one-sided upper tail test of Ho : u = 10 vs H : u > 10. Use a significance level of a = %3D .05.

The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10ug/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 H, : u = 10 vs HA : u < 10 and a one-sided upper tail test of Ho : u = 10 vs H : u > 10. Use a significance level of a = %3D .05.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter11: Data Analysis And Probability

Section11.1: Stem-and-leaf Plots And Histograms

Problem 2E

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Concept explainers

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.

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Question

NT #1
The EPA maximum contaminant level (MCL) for arsenic is 10 micrograms per liter. (10ug/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 H, : u
10 and a one-sided upper tail test of Ho : u = 10 vs H : u> 10. Use a significance level of a =
= 10 vs HA : µ<
.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 10.57ug/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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