Fifteen SmartCars were randomly selected and the highway mileage of each was noted. It was desired to determine if the median miles per gallon of all SmartCars exceeded 35 miles per gallon.
What type of nonparametric analysis should be used?
A) The Sign Test
B) The Wilcoxon Signed Rank Test
C) The Kruskal-Wallis H-Test
D) The Friedman $\mathrm { F } _ { \mathrm { r } }$-Test
E) The Wilcoxon Rank Sum Test

Question

Fifteen SmartCars were randomly selected and the highway mileage of each was noted. It was desired to determine if the median miles per gallon of all SmartCars exceeded 35 miles per gallon.
What type of nonparametric analysis should be used? 
A) The Sign Test
B) The Wilcoxon Signed Rank Test
C) The Kruskal-Wallis H-Test
D) The Friedman $\mathrm { F } _ { \mathrm { r } }$-Test
E) The Wilcoxon Rank Sum Test

Quizplus · Accepted Answer

The Sign Test is appropriate for this scenario because it is used to test hypotheses about the median of a population without making any assumptions about the distribution of the data. It is suitable for small sample sizes and is used when the goal is to determine if the median of a single sample differs from a specified value (in this case, 35 miles per gallon).

Fifteen SmartCars Were Randomly Selected and the Highway Mileage of Each