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Name: A scientist wants to study the change in rainwater pH. They collect 14
Uploaded: 2024-03-20T07:07:12.000Z
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Description: A scientist wants to study the change in rainwater pH. They collect 140 rainwater samples and find an average pH of 5.1 and a standard deviation of 1.1. Is there evidence to suggest that the mean rainwater pH is no longer the historically accepted 5.

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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A scientist wants to study the change in rainwater pH. They collect 140 rainwater samples and find an average pH of 5.1 and a standard deviation of 1.1. Is there evidence to suggest that the mean rainwater pH is no longer the historically accepted 5.0?

a) Define the parameter(s) of interest using the correct notation. Then, state the null and alternative hypotheses for this study.

b) Calculate the observed test statistic and state the distribution it follows (including degrees of freedom, if needed).

c) Give the p-value, or a range of appropriate values for the p-value.

d) State the strength of evidence against the null hypothesis.

e) Using the significance level α = 0.30, state your conclusions regarding pH in a plain English sentence.

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