Investigators at the U.S. Department of Agriculture wished to compare methods of determining the level of E. coli bacter

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Investigators At The U S Department Of Agriculture Wished To Compare Methods Of Determining The Level Of E Coli Bacter 1 (64.89 KiB) Viewed 17 times

Investigators At The U S Department Of Agriculture Wished To Compare Methods Of Determining The Level Of E Coli Bacter 2 (48.03 KiB) Viewed 17 times

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. 1 2 3 4 5 6 7 8 9 10 Method A 22.5 22.8 25.0 26.4 27.2 27.8 35.7 35.6 40.1 46.8 23.2 23.2 23.9 26.1 26.8 27.1 34.2 35.1 40.5 47.8 Method B Difference (Method A- Method B) -0.7 0.4 1.1 0.3 0.4 0.7 1.5 0.5 -0.4 -1.0 Blank #1: The individual differences are given because these samples are Assume that the population of differences is approximately normal; therefore, the conditions for t-procedures are satisfied. The investigator claims that there is a significant difference in the mean amount of E. coli bacteria detected by the two methods for this type of beef. Do you agree? Why? Use a significance level of 0.05

significant difference in the mean amount of E. coli bacteria detected by the two methods for this type of beef. Do you agree? Why? Use a significance level of 0.05 and the p-value to make your decision. Fill in the blanks to show the work associated in exploring the claim. To explore the suspicion above, conduct a significance test using the hypotheses: H : p= 0HA: H______0 Blank #2: Determine the correct alternative hypothesis by filling in the blank with <, > or not equals. Blank #3: Report the test statistic to two decimal places Blank #4: Report the p-value to four decimal places Blank #5: Give the test decision: (reject or do not reject) H. Blank #6: Evidence _(favors or does not favor) that there is a difference in mean amounts of E. coli bacteria detected by these two methods