چلے The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked to perform a simulated driving task while talking on a cell phone. While performing this task, occasional red and green lights flashed on the computer screen. If a green light flashed, subjects were to continue driving, but if a red light flashed, subjects were to brake as quickly as possible. The reaction time (in msec) was recorded. The following summary statistics are based on a graph that appeared in the paper. n = 48 x = 525 S = 65 (a) Construct a 95% confidence interval for u, the mean time to react to a red light while talking on a cell phone. (Round your answers to three decimal places.) Interpret a 95% confidence interval for u, the mean time to react to a red light while talking on a cell phone. We are 95% confident that the mean time to react to a red light while talking on a cell phone is between these two values. O There is a 95% chance that the true difference in the mean time to react to a red light while talking on a cell phone is directly in the middle of these two values. O There is a 95% chance that the true mean time to react to a red light while talking on a cell phone is directly in the middle of these two values. O We are 95% confident that the true mean time to react to a green light while talking on a cell phone is between these two values. O We are 95% confident that the true mean time to react to a green light while talking on a cell phone is directly in the middle of these two values.

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MY NOTES
W
ASK YOUR TEACHER
PRACTICE ANOTHER
The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked
to perform a simulated driving task while talking on a cell phone. While performing this task, occasional red and green lights
flashed on the computer screen. If a green light flashed, subjects were to continue driving, but if a red light flashed, subjects
were to brake as quickly as possible. The reaction time (in msec) was recorded. The following summary statistics are based on a
graph that appeared in the paper.
n = 48 x = 525
s = 65
(a) Construct a 95% confidence interval for u, the mean time to react to a red light while talking on a cell phone. (Round your
answers to three decimal places.)
Interpret a 95% confidence interval for u, the mean time to react to a red light while talking on a cell phone.
● We are 95% confident that the mean time to react to a red light while talking on a cell phone is between these two
values.
O There is a 95% chance that the true difference in the mean time to react to a red light while talking on a cell
phone is directly in the middle of these two values.
O There is a 95% chance that the true mean time to react to a red light while talking on a cell phone is directly in the
middle of these two values.
O We are 95% confident that the true mean time to react to a green light while talking on a cell phone is between
these two values.
O We are 95% confident that the true mean time to react to a green light while talking on a cell phone is directly in
the middle of these two values.
(b) What assumption must be made in order to generalize this confidence interval to the population of all drivers?
The assumption that the subjects of the experiment formed a random sample from the population of distracted
drivers.
The assumption that the subjects of the experiment formed the population of drivers.
Transcribed Image Text:MY NOTES W ASK YOUR TEACHER PRACTICE ANOTHER The authors of a paper describe an experiment to evaluate the effect of using a cell phone on reaction time. Subjects were asked to perform a simulated driving task while talking on a cell phone. While performing this task, occasional red and green lights flashed on the computer screen. If a green light flashed, subjects were to continue driving, but if a red light flashed, subjects were to brake as quickly as possible. The reaction time (in msec) was recorded. The following summary statistics are based on a graph that appeared in the paper. n = 48 x = 525 s = 65 (a) Construct a 95% confidence interval for u, the mean time to react to a red light while talking on a cell phone. (Round your answers to three decimal places.) Interpret a 95% confidence interval for u, the mean time to react to a red light while talking on a cell phone. ● We are 95% confident that the mean time to react to a red light while talking on a cell phone is between these two values. O There is a 95% chance that the true difference in the mean time to react to a red light while talking on a cell phone is directly in the middle of these two values. O There is a 95% chance that the true mean time to react to a red light while talking on a cell phone is directly in the middle of these two values. O We are 95% confident that the true mean time to react to a green light while talking on a cell phone is between these two values. O We are 95% confident that the true mean time to react to a green light while talking on a cell phone is directly in the middle of these two values. (b) What assumption must be made in order to generalize this confidence interval to the population of all drivers? The assumption that the subjects of the experiment formed a random sample from the population of distracted drivers. The assumption that the subjects of the experiment formed the population of drivers.
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