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

question 4

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 follows. $$\begin{array} { l | c c c c c c c c c c c c } \text { Car } & 1 & 2 & 3 & 4 & 5 & 6 & 7 & 8 & 9 & 10 & 11 & 12 \\\hline \text { No Additive } & 105 & 139 & 185 & 108 & 187 & 134 & 170 & 161 & 145 & 115 & 190 & 121 \\\text { With additive } & 115 & 157 & 191 & 108 & 197 & 139 & 183 & 168 & 159 & 115 & 193 & 127\end{array}$$ 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 level of significance.

• A) a) S=9
• b) We can conclude that the median distances are different.
• B) a) S=12
• b) We cannot conclude that the median distances are different.
• C) a) S=12
• b) We can conclude that the median distances are different.
• D) a) S=9
• b) We cannot conclude that the median distances are different.

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Definitions:

Social Psychologist

A specialist who studies how individual behavior and mental processes are influenced by social interactions and societal factors.

Kurt Lewin

A pioneering psychologist known for his contributions to social psychology, organizational development, and leadership theories.

Stagnation

A state of inactivity or lack of growth and development, often leading to decreased productivity and innovation.

Slowdown

A reduction in the speed or rate of activities, often referring to economic downturns or decreased productivity.