A researcher wishes to see if the stopping distance for midsize automobiles is different from the stopping distance for compact automobiles at a speed of 70 miles per hour. The data are shown. At α = 0.10, test the claim that the stopping distances are the same. If one of your safety concerns is stopping distance, would it make a difference which type of automobile you purchase?

Use the Wilcoxon rank sum test. Assume that the samples are independent. Also perform each of these steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use the traditional method of hypothesis testing unless otherwise specified.

Transcribed Image Text:

Automobile 2 3 4 5 6 7 8 9 10 Midsize 188 190 195 192 186 194 188 187 214 203 Compact 200 211 206 297 198 204 218 212 196 193