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D 2. Investigators at the U.S. Department of Agriculture wished to compare methods of determining the level of E. coli bacteria contamination in beef. Two

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D 2. 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 milli-microbes/liter of ground beef, for each of the methods are shown in the table below. Specimen m In O Method A 22.7 23.6 24.0 27.4 27.8 34.4 35.2 40.4 46.8 Method B 23.0 23.1 23.7 26.5 26.6 33.2 35.0 40.5 Difference In particular, investigators suspect that method A gives a higher reading. Test at 5% level of significance. a. Hypotheses are: ? (Make sure to include the order that you computed the difference.) b. Find: d & Sd. c. Test statistic? Include the computing formula. The. d. Approximate the p-value? e. Sa=_ Give a range, as well as an approximation . f. Include a graph that shows the relative position of the sample outcome and shade the area corresponding to the p- value. Make sure that the horizontal axis is scaled. g. Decision? Accept H. Reject H. Circle one of the two choices above, Thi. h. Conclusion

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