Answered: Let’s look at data on water quality…

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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Let’s look at data on water quality from 24 different swimming areas in Ohio State Park, USA. The content of the bacteria, E. coli, was measured at each site. A sample of water is considered unsafe if it contains more than 400 coliform bacteria per 100mL. The sites were regarded by the researchers as a simple random sample of all swimming areas on Lake Erie.

There are problems with this data to be able to apply a valid t-test to them. a) Check the conditions. What conditions are not met?

b) Explore the data and consider what the aim of the E. coli measurements are at each swimming site. What is the problem with this ‘sample’ average in this regard?

Let's look at data on water quality from 24 different swimming areas in Ohio State Park, USA.
The content of the bacteria, E. coli, was measured at each site. A sample of water is considered
unsafe if it contains more than 400 coliform bacteria per 100mL.
The sites were regarded by the researchers as a simple random sample of all swimming areas on
Lake Erie.
The data is available in the "E coli" Excel file on Moodle.
There are problems with this data to be able to apply a valid t-test to them.
a) Check the conditions. What conditions are not met?
b) Explore the data and consider what the aim of the E. coli measurements are at each
swimming site. What is the problem with this 'sample' average in this regard?

E. coli (number/100mL
18.7
579.4
1986.3
517.2
98.7
45.7
124.6
201.4
19.9
83.6
365.4
307.6
285.1
152.9
18.7
151.5
365.4
238.2
209.8
290.9
137.6
1046.2
127.4
224.7

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