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

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Question 39
Multiple Choice
arrowQuestion 39arrow
Multiple Choice

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.
 Car 123456789101112 No Additive 1761451241791391861801769015992167 With additive 18616213017914919119318410515994173\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 α=0.05\alpha = 0.05 level of significance.


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

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