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MAT 1450 – Unit 12 Written HW 1. 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. Specimen 1 2 3 4 5 6 7 8 9 10 Method A: 22.7 23.6 24.0 27.1 27.4 27.8 34.4 35.2 40.4 46.8 Method B: 23.0 23.1 23.7 26.5 26.6 27.1 33.2 35.0 40.5 47.8 Is there a significant difference in the mean amount of E. coli bacteria is detected by the two methods for this type of beef? Provide a statistical justification to support your answer by performing a hypothesis test at the 0.05 significance level. (Hint: List out the steps of PHANTOMS to help you through the process. Briefly list off and check the assumptions since you can use your notes on this assignment.)

          MAT 1450 – Unit 12 Written HW

1. 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.

Specimen
1 2 3 4 5 6 7 8 9 10
Method A: 22.7 23.6 24.0 27.1 27.4 27.8 34.4 35.2 40.4 46.8
Method B: 23.0 23.1 23.7 26.5 26.6 27.1 33.2 35.0 40.5 47.8

Is there a significant difference in the mean amount of E. coli bacteria is detected by the two methods for this type of beef? Provide a statistical justification to support your answer by performing a hypothesis test at the 0.05 significance level. (Hint: List out the steps of PHANTOMS to help you through the process. Briefly list off and check the assumptions since you can use your notes on this assignment.)

MAT 1450 – Unit 12 Written HW

1. 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.

Specimen
1 2 3 4 5 6 7 8 9 10
Method A: 22.7 23.6 24.0 27.1 27.4 27.8 34.4 35.2 40.4 46.8
Method B: 23.0 23.1 23.7 26.5 26.6 27.1 33.2 35.0 40.5 47.8

Is there a significant difference in the mean amount of E. coli bacteria is detected by the two methods for this type of beef? Provide a statistical justification to support your answer by performing a hypothesis test at the 0.05 significance level. (Hint: List out the steps of PHANTOMS to help you through the process. Briefly list off and check the assumptions since you can use your notes on this assignment.)

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