The dataset Beers.csv compares the reaction time of 20 individuals in a driving obstancles course before and after consuming 2 standard alcohol units. Use a = 0.05. (a) Test the hypothesis that 2 alcoholic beverages makes individuals reaction time worse by greater than 1 second. (b) Comment on the assumptions of your test in a). (c) A car traveling at 40 miles per hour travels about 164 feet before braking on seeing a hazard in the road. Half of that distance is due to reaction time, and the other half due to braking deceleration. Find the probability of detecting an increase in reaction time of 2s for an individual in this dataset. Use the standard deviation of the pairwise difference as your od. (d) Interpret your conclusions in c). Is your sample size big enough to detect such a difference? (e) Provide a 95% confidence interval for the increase in reaction time after two drinks. (f) Perform a hypothesis test to assess the claim that a correlation exists between reaction time before and after two standard drinks.
The dataset Beers.csv compares the reaction time of 20 individuals in a driving obstancles course before and after consuming 2 standard alcohol units. Use a = 0.05. (a) Test the hypothesis that 2 alcoholic beverages makes individuals reaction time worse by greater than 1 second. (b) Comment on the assumptions of your test in a). (c) A car traveling at 40 miles per hour travels about 164 feet before braking on seeing a hazard in the road. Half of that distance is due to reaction time, and the other half due to braking deceleration. Find the probability of detecting an increase in reaction time of 2s for an individual in this dataset. Use the standard deviation of the pairwise difference as your od. (d) Interpret your conclusions in c). Is your sample size big enough to detect such a difference? (e) Provide a 95% confidence interval for the increase in reaction time after two drinks. (f) Perform a hypothesis test to assess the claim that a correlation exists between reaction time before and after two standard drinks.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.3: Least Squares Approximation
Problem 31EQ
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By using r studio pls answer parts a-f
Transcribed Image Text:The dataset Beers.csv compares the reaction time of 20 individuals in a driving obstancles course
before and after consuming 2 standard alcohol units. Use a = 0.05.
(a) Test the hypothesis that 2 alcoholic beverages makes individuals reaction time worse by greater
than 1 second.
(b) Comment on the assumptions of your test in a).
(c) A car traveling at 40 miles per hour travels about 164 feet before braking on seeing a hazard
in the road. Half of that distance is due to reaction time, and the other half due to braking
deceleration. Find the probability of detecting an increase in reaction time of 2s for an individual
in this dataset. Use the standard deviation of the pairwise difference as your od.
(d) Interpret your conclusions in c). Is your sample size big enough to detect such a difference?
(e) Provide a 95% confidence interval for the increase in reaction time after two drinks.
(f) Perform a hypothesis test to assess the claim that a correlation exists between reaction time before
and after two standard drinks.
Transcribed Image Text:Before After
6.25 6.85
2.96
4.95
3.94
4.85
4.81
6.6
5.33
5.19
4.88
5.75
5.26
3.16
6.65
5.49
4.05
4.42
4.99
4.78
5.57
4.01
5.91
5.34
6.09
5.84
4.19
5.75
6.25
7.23
4.55
6.42
5.25
5.59
3.96
5.93
5.01 6.03
4.69 3.72
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Step 1: Write the given information.
VIEWStep 2: Perform hypothesis test that two alcoholic beverages makes individual reaction time greater than 1.
VIEWStep 3: Check the assumptions for the test in part a)
VIEWStep 4: Determine probability of detecting increase in reaction time of 2s for individual in this dataset.
VIEWStep 5: Check whether sample size big enough to detect such a difference.
VIEWStep 6: Determine the 95% confidence interval for the increase in reaction time after two drinks.
VIEWStep 7: Perform hypothesis test to assess claim if correlation exists between reaction time before and after
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