a. What does “empirical” mean in the context of experimentation? b. Is there sufficient evidence to conclude that vehicles exceed a mean stopping distance of 250 feet? Use the critical value approach with significance of 0.1. c. Find the value of ?? when the true mean is 257.5 feet.

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Problem 9
Forensic researchers at a vehicle safety research center were interested in empirically studying
the stopping distance required for vehicles. Two main contributors to stopping distance are: (i)
speed of the vehicle and (ii) road condition (e.g., dry asphalt, wet asphalt, dry concrete, wet
concrete, snow, ice). The contributors were controlled at a speed of 75 mph and a dry asphalt
road condition. Assume the “imperial” units of measure, which require speed in mph and
stopping distance in feet. The following are observations of stopping distance under the above
condition for seven vehicles.
261 275 242 251 254 249 268
a. What does “empirical” mean in the context of experimentation?
b. Is there sufficient evidence to conclude that vehicles exceed a mean stopping distance
of 250 feet? Use the critical value approach with significance of 0.1.
c. Find the value of ?? when the true mean is 257.5 feet.  

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