BFW Publishers Do cell phones increase drivers' reaction times while driving? A 2018 University of Utah study investigated the effects of cell phone use on reaction time. In the study, 64 participants were randomly selected and placed into one of two groups: the cell phone group or the control group. Those in the control group participated in the experiment with no distractions, whereas those in the cell phone group had access to text documents on a cell phone. Participants in each group were then asked to press the brake pedal when instructed by the researcher. Researchers then recorded each subject's reaction time in seconds. The table shows the results of the experiment. Group Population mean Sample size Sample mean Sample standard deviation Phone HP p = 32 x = 0.585 Sp = 0.039 Control Ис c = 32 c = 0.553 Scm 0.066 Suppose the researchers wish to examine at a significance level of a = 0.05 if the mean reaction time for phone users is larger than the mean reaction time for the control group. The hypotheses for this test are Ho: Hp = HC Ha Hp > HC Use software to determine the corresponding statistic and P-value for this two-sample test. [= P-value (Round to 3 decimal places) (Round to 3 decimal places) Based on the 1-statistic and P-value, the correct conclusion for this two-sample t-test with a = 0.05 is to fail to reject the null hypothesis because the P-value is greater than a reject the null hypothesis because the P-value is less than a fail to reject the null hypothesis because the P-value is less than a Oreject the null hypothesis because the P-value is greater than a.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Do cell phones increase drivers' reaction times while driving? A 2018 University of Utah study investigated the effects of cell
phone use on reaction time. In the study, 64 participants were randomly selected and placed into one of two groups: the cell
phone group or the control group. Those in the control group participated in the experiment with no distractions, whereas those
in the cell phone group had access to text documents on a cell phone. Participants in each group were then asked to press the
brake pedal when instructed by the researcher. Researchers then recorded each subject's reaction time in seconds. The table
shows the results of the experiment.
Group
Population mean
Sample size
Sample mean
Sample standard deviation
Phone
HP
p = 32
x = 0.585
Sp = 0.039
Control
Ис
c = 32
c = 0.553
Scm 0.066
Suppose the researchers wish to examine at a significance level of a = 0.05 if the mean reaction time for phone users is larger
than the mean reaction time for the control group. The hypotheses for this test are
Ho: Hp = HC
Ha Hp > HC
Use software to determine the corresponding statistic and P-value for this two-sample test.
[=
P-value
(Round to 3 decimal places)
(Round to 3 decimal places)
Based on the 1-statistic and P-value, the correct conclusion for this two-sample t-test with a = 0.05 is to
fail to reject the null hypothesis because the P-value is greater than a
reject the null hypothesis because the P-value is less than a
fail to reject the null hypothesis because the P-value is less than a
Oreject the null hypothesis because the P-value is greater than a.
Transcribed Image Text:BFW Publishers Do cell phones increase drivers' reaction times while driving? A 2018 University of Utah study investigated the effects of cell phone use on reaction time. In the study, 64 participants were randomly selected and placed into one of two groups: the cell phone group or the control group. Those in the control group participated in the experiment with no distractions, whereas those in the cell phone group had access to text documents on a cell phone. Participants in each group were then asked to press the brake pedal when instructed by the researcher. Researchers then recorded each subject's reaction time in seconds. The table shows the results of the experiment. Group Population mean Sample size Sample mean Sample standard deviation Phone HP p = 32 x = 0.585 Sp = 0.039 Control Ис c = 32 c = 0.553 Scm 0.066 Suppose the researchers wish to examine at a significance level of a = 0.05 if the mean reaction time for phone users is larger than the mean reaction time for the control group. The hypotheses for this test are Ho: Hp = HC Ha Hp > HC Use software to determine the corresponding statistic and P-value for this two-sample test. [= P-value (Round to 3 decimal places) (Round to 3 decimal places) Based on the 1-statistic and P-value, the correct conclusion for this two-sample t-test with a = 0.05 is to fail to reject the null hypothesis because the P-value is greater than a reject the null hypothesis because the P-value is less than a fail to reject the null hypothesis because the P-value is less than a Oreject the null hypothesis because the P-value is greater than a.
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