A Consumer Advice Web Site Tested a Fuel Additive A) Compute the Test Statistic
B) Can You Conclude That

A consumer advice web site tested a fuel additive. The distance that 12 cars could travel on five gallons of gasoline was recorded without and then with the additive. The results were as follow.
$\begin{array}{l|cccccccccccc}\text { Car } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\\hline \text { No Additive } & 176 & 145 & 124 & 179 & 139 & 186 & 180 & 176 & 90 & 159 & 92 & 167 \\\text { With additive } & 186 & 162 & 130 & 179 & 149 & 191 & 193 & 184 & 105 & 159 & 94 & 173\end{array}$

a) Compute the test statistic
b) Can you conclude that the median distance traveled with the additive difference from the median distance traveled with the additive? Use the $\alpha = 0.05$ level of significance.

A) a) $\mathrm { S } = 15$
b) We can not conclude that the median distances are different.
B) a) $S = 12$
b) We can conclude that the median distances are different.
C) a) $\mathrm { S } = 12$
b) We can not conclude that the median distances are different.
D) a) $\mathrm { S } = 15$
b) We can conclude that the median distances are different.