Question: Two fuel additives are tested to determine their effect on miles per gallon for passenger cars. Suppose test results for 12 cars follow; each car

 Two fuel additives are tested to determine their effect on miles

Two fuel additives are tested to determine their effect on miles per gallon for passenger cars. Suppose test results for 12 cars follow; each car was tested with both fuel additives. Additive Car 21.12 19.05 2 24.56 21.77 3 22.03 22.57 9.15 18.06 5 20.23 20.22 25.77 12.80 16.16 16.20 3 19.5- 13.98 21.87 20.03 10 23.23 21.15 11 22.21 22.78 12 25.02 23.70 Use a = 0.05 and the Wilcoxon signed-rank test to see whether there is a significant difference between the median miles per gallon for the additives. State the null and alternative hypotheses. O Ho: Median for additive 1 - Median for additive 2 # 0 Ha: Median for additive 1 - Median for additive 2 = 0 O Ho: Median for additive 1 - Median for additive 2 5 0 Ha: Median for additive 1 - Median for additive 2 > o OH: Median for additive 1 - Median for additive 2 2 0 Ha: Median for additive 1 - Median for additive 2 0 Ha: Median for additive 1 - Median for additive 2 = 0 O Ho: Median for additive 1 - Median for additive 2 = 0 Ha : Median for additive 1 - Median for additive 2 # 0 Find the value of the test statistic. T+ = X Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. O Reject Ho. There is sufficient evidence to conclude that there is a significant difference between the median miles per gallon for the additives. O Do not reject Ho. There is sufficient evidence to conclude that there is a significant difference between the median miles per gallon for the additives. O Do not reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the median miles per gallon for the additives. Reject Ho. There is not sufficient evidence to conclude that there is a significant difference between the median miles per gallon for the additives

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