Answered: Trace metals in drinking water affect…

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter4: Eigenvalues And Eigenvectors

Section4.6: Applications And The Perron-frobenius Theorem

Problem 22EQ

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Trace metals in drinking water affect the flavor and an unusually high concentration can pose a health hazard. Ten pairs of data were taken measuring zinc concentration in bottom water and surface water of a water source.

Location	Zinc concentration in bottom water	Zinc concentration in surface water
1	.430	.415
2	.266	.238
3	.567	.390
4	.531	.410
5	.707	.605
6	.716	.609
7	.651	.632
8	.589	.523
9	.469	.411
10	.723	.612

Do the data support that the zinc concentration is less on the surface than the bottom of the water source, at the α=0.1α=0.1 level of significance? Note: A normal probability plot of difference in zinc concentration between the bottom and surface of water indicates the population could be normal and a boxplot indicated no outliers.

What is the significance level?
α=___________

What is the test statistic? Round to 3 decimal places.
T or Z =_____________

What is the p -value? Round to 4 decimal places.
p=_____________

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