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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 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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