To illustrate the effects of driving under the influence of alcohol, a police it brought a DUI simulator to a local high school. Student reaction time in an emergency was measured with unimpaired vision and also while wearing a pair of special goggles to simulate the effects of alcohol on vision. For a random sample of nine teenagers, the time (in seconds) required to bring the vehicle to a stop from a speed of 60 miles per hour was recorded. Complete parts (a) and (b).
Note: A normal probability plot and boxplot of the data indicate that the differences are approximately normally distributed with no outliers.
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(a) Whether the student had unimpaired vision or wore goggles first was randomly selected. Why is this a good idea in designing the experiment?
A. This is a good idea in designing the experiment because the sample size is not large enough.
B. This is a good idea in designing the experiment because it controls for any "learning" that may occur in using the simulator
C. This is a good idea in designing the experiment because reaction times are different.
\(\boxed{\text{B. This is a good idea in designing the experiment because it controls for any 'learning' that may occur in using the simulator}}\)
Step 1 :The question is asking why it is a good idea to randomly select whether the student had unimpaired vision or wore goggles first in the experiment. This is a theoretical question and does not require any calculations or Python code to answer.
Step 2 :The reason for this random selection is to control for any 'learning' that may occur in using the simulator. If all students used the simulator with unimpaired vision first, they might become more familiar with the simulator and perform better when they use it the second time with the goggles. This could skew the results and make it seem like the goggles have less of an effect on reaction time than they actually do. By randomly selecting the order, this potential bias is eliminated.
Step 3 :\(\boxed{\text{B. This is a good idea in designing the experiment because it controls for any 'learning' that may occur in using the simulator}}\)