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Does alcohol increase reaction time? Design a randomized experiment to address this question using the method described in each case. Assume the participants are 40 college seniors and the response variable is time to react to an image on a screen after drinking either alcohol or water. Be sure to explain how randomization is used in each case. (a) A randomized comparative experiment with two groups getting two separate treatments (b) A matched pairs experiment

Short Answer

Expert verified
Yes, the design of these two types of experiments - a randomized comparative experiment and a matched pairs experiment could help investigate the question 'does alcohol increase reaction time?' If the reaction time for those who drank alcohol is significantly longer than the reaction time of those who drank water, it could be concluded that alcohol does increase reaction time.

Step by step solution

01

Design of a randomized comparative experiment

1. Define the two groups: Group A will be given alcohol and Group B will be given water.2. Randomly assign the 40 college seniors into two groups of 20 each. This can be done using a random number generator or drawing names from a hat. In this way, we try to make sure that the groups are similar except for the treatment they receive (water or alcohol). This random assignment minimizes bias and confounding variables.3. After a certain amount of time has passed for the alcohol to take effect, show the participants an image on a screen and measure their reaction times.4. After that, compute the average reaction time for each group. Analyze whether the reaction time for those who drank alcohol is significantly longer than the reaction time of those who drank water using a statistical test fit for comparing two groups. If there is a significant difference, it could be concluded that alcohol increases reaction time.
02

Design of a matched pairs experiment

1. Pair each participant with another participant who is as identical as possible in terms of factors such as age, gender, weight, and general health. This makes 20 pairs of individuals. Within each pair, one will be given alcohol and the other will be given water. The assignment within each pair should be random.2. After a certain amount of time has passed for the alcohol to take effect, show the participants an image on a screen and measure their reaction times.3. For each pair, subtract the reaction time of the participant who drank water from the reaction time of the participant who drank alcohol. If alcohol slows reaction time, most of these differences should be positive.4. Analyze this set of differences with a statistical test for a single group. If the average difference is significantly greater than zero, then it could be concluded that alcohol increases reaction time.

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