Do cell phones increase drivers' reaction times while driving? A 2003 American Journal of Health Education study investigated the effects of cell phone use on reaction time. In the study, 60 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 take a computerized reaction time test. 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 up n=30 x¯P=0.546 sx=0.213 Control uc n=30 x¯C=0.356 sx=0.245   df=56.900   Suppose the researchers wish to examine at a significance level of alpha=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 H0:μP≤μC H1:μP>μC Use software to determine the corresponding t‑statistic and p-value for this two‑sample t‑test, rounded to three decimal places. Use an unpooled standard error when calculating the t‑statistic for this test.   what are the t and p values?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Do cell phones increase drivers' reaction times while driving? A 2003 American Journal of Health Education study investigated the effects of cell phone use on reaction time. In the study, 60 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 take a computerized reaction time test. 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 up n=30 x¯P=0.546 sx=0.213
Control uc n=30 x¯C=0.356 sx=0.245

 

df=56.900

 

Suppose the researchers wish to examine at a significance level of alpha=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

H0:μP≤μC
H1:μP>μC

Use software to determine the corresponding t‑statistic and p-value for this two‑sample t‑test, rounded to three decimal places. Use an unpooled standard error when calculating the t‑statistic for this test.

 

what are the t and p values?

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