11. Investigators at the U.S. Department of agriculture wished to compare methods of determining the level of E. coli bacteria contamination in beef. Two different methods (A and B) of determining the level of contamination were used on each of ten randomly selected specimens of a certain type of beef. The data obtained, in millimicrobes/liter of ground beef, for each of the methods are show in the table below. Method Specimen 4 5 1 3 6 2 A 22.7 23.6 24.0 27.1 27.4 27.8 B 23.0 23.1 23.7 26.5 26.6 27.1 7 8 35.2 34.4 33.2 35.0 9 40.4 40.5 10 46.8 47.8 Is there a significant difference in the mean amount of E. coli bacteria detected by the two methods for this type of beef? Provide a statistical justification to support your answer.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 4E
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11. Investigators at the U.S. Department of agriculture wished to compare methods of determining
the level of E. coli bacteria contamination in beef. Two different methods (A and B) of determining
the level of contamination were used on each of ten randomly selected specimens of a certain type
of beef. The data obtained, in millimicrobes/liter of ground beef, for each of the methods are shown
in the table below.
Method
1
2
A 22.7 23.6
B 23.0 23.1
3
6
Specimen
4 5
24.0 27.1 27.4 27.8
26.5
23.7
26.6 27.1
7
8
34.4 35.2
33.2 35.0
9
10
40.4
46.8
40.5 47.8
Is there a significant difference in the mean amount of E. coli bacteria detected by the two
methods for this type of beef? Provide a statistical justification to support your answer.
Transcribed Image Text:11. Investigators at the U.S. Department of agriculture wished to compare methods of determining the level of E. coli bacteria contamination in beef. Two different methods (A and B) of determining the level of contamination were used on each of ten randomly selected specimens of a certain type of beef. The data obtained, in millimicrobes/liter of ground beef, for each of the methods are shown in the table below. Method 1 2 A 22.7 23.6 B 23.0 23.1 3 6 Specimen 4 5 24.0 27.1 27.4 27.8 26.5 23.7 26.6 27.1 7 8 34.4 35.2 33.2 35.0 9 10 40.4 46.8 40.5 47.8 Is there a significant difference in the mean amount of E. coli bacteria detected by the two methods for this type of beef? Provide a statistical justification to support your answer.
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