Answered: 1.4 1.2 pH AvgMercury

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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Mercury Levels in Fish

Figure 4.25 shows a scatterplot of the acidity (pH) for a sample of n = 53 Florida lakes vs the average mercury level (ppm) found in fish taken from each lake. The full dataset is introduced in Data 2.4 and is available in FloridaLakes. There appears to be a negative trend in the scatterplot, and we wish to test whether there is significant evidence of a negative association between pH and mercury levels.

Figure 4.25 Water pH vs mercury levels of fish in Florida lakes

(a)

What are the null and alternative hypotheses?

For these data, a statistical software package produces the following output:

r=−0.575p-value=0.000017

Use the p-value to give the conclusion of the test. Include an assessment of the strength of the evidence and state your result in terms of rejecting or failing to reject H₀ and in terms of pH and mercury.

(c)

Is this convincing evidence that low pH causes the average mercury level in fish to increase? Why or why not?

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