A comparison of reaction times (in seconds) for two different stimuli in a psychological word- association experiment produced the following results when applied to a random sample of 8 people (each person is subjected to both stimuli in a random order): Person Stimulus 1 Stimulus 2 1 3 4 2 1 2 3 1 3 4 2 1 5 1 2 6 2 7 8 2 3 2.1 Do the data present sufficient evidence to indicate a difference in the true mean reaction times for the two stimuli? Do not perform a hypothesis test but find a 95% confidence interval for the difference in mean reaction times and use the interval to answer the question. 2.2 Using the interval obtained in 2.1, comment on which stimulus (1 or 2) results in the fastest reaction time, and state how much faster, on average, the reaction time is for that stimulus relative to the other one. Remember to include units.

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A comparison of reaction times (in seconds) for two different stimuli in a psychological word-
association experiment produced the following results when applied to a random sample of 8
people (each person is subjected to both stimuli in a random order):
Stimulus 1
Stimulus 2
Person
1
3
4
2
1
2
1
3
4
2
1
1
2
6
2
3
7
3
8
2
3
2.1
Do the data present sufficient evidence to indicate a difference in the true mean reaction
times for the two stimuli? Do not perform a hypothesis test but find a 95% confidence
interval for the difference in mean reaction times and use the interval to answer the
question.
Using the interval obtained in 2.1, comment on which stimulus (1 or 2) results in the fastest
reaction time, and state how much faster, on average, the reaction time is for that stimulus
relative to the other one. Remember to include units.
2.2
Transcribed Image Text:A comparison of reaction times (in seconds) for two different stimuli in a psychological word- association experiment produced the following results when applied to a random sample of 8 people (each person is subjected to both stimuli in a random order): Stimulus 1 Stimulus 2 Person 1 3 4 2 1 2 1 3 4 2 1 1 2 6 2 3 7 3 8 2 3 2.1 Do the data present sufficient evidence to indicate a difference in the true mean reaction times for the two stimuli? Do not perform a hypothesis test but find a 95% confidence interval for the difference in mean reaction times and use the interval to answer the question. Using the interval obtained in 2.1, comment on which stimulus (1 or 2) results in the fastest reaction time, and state how much faster, on average, the reaction time is for that stimulus relative to the other one. Remember to include units. 2.2
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