You want to determine the effect of soap on bacterial colonies. In order to make sure that the environment does not affect your experiment, you divide 13 different petri dishes in half - one side is exposed to soap, the other is a control. You measure the number of colonies that grow in each petri dish and come up with the following results: petri dish 1 2 3 4 5 6 7 8 9 10 11 12 13 soap 10 5 7 10 19 11 13 17 19 8 11 10 16 control 20 17 11 17 26 18 21 25 24 17 17 17 21 Perform a complete hypothesis test to see if there is a difference in bacterial colonies between the soap and control dishes. Again - notice that you are given no advice. You need to figure this out on your own, although this one should be a bit easier than (4). Feel free to use R to solve this problem, just make sure you don't just hand in a printout.

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
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You want to determine the effect of soap on bacterial colonies. In order to make sure that the environment
does not affect your experiment, you divide 13 different petri dishes in half - one side is exposed to soap, the
other is a control.
You measure the number of colonies that grow in each petri dish and come up with the following results:
petri dish 1 2 3 4 5 6 7 8 9 10 11 12 13
soap 10 5 7 10 19 11 13 17 19 8 11 10 16
control 20 17 11 17 26 18 21 25 24 17 17 17 21
Perform a complete hypothesis test to see if there is a difference in bacterial colonies between the soap
and control dishes.
Again - notice that you are given no advice. You need to figure this out on your own, although
this one should be a bit easier than (4). Feel free to use R to solve this problem, just make sure
you don't just hand in a printout.

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