SOLUTION: A researcher is comparing the reaction times of 10 year olds who play video games and 10 year olds who dont. . Players of video games sample size-15 mean reaction time(seconds)

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Question 750901: A researcher is comparing the reaction times of 10 year olds who play video games and 10 year olds who dont.
.
Players of video games
sample size-15
mean reaction time(seconds)-0.5
Standard deviation of reaction times(seconds-0.01
.
Non-Players of video games
sample size-10
mean reaction time(seconds)-0.52
Standard deviation of reaction times(seconds-0.02
.
Assume that the reaction times for both populations are normally distributed with the same population standard deviation.
a)Construct a 98% confidence interval for the difference between the population means of reaction times.
.
Please give full steps. thank you very much
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A researcher is comparing the reaction times of 10 year olds who play video games and 10 year olds who dont.
.
Players of video games
sample size-15
mean reaction time(seconds)-0.5
Standard deviation of reaction times(seconds-0.01
.
Non-Players of video games
sample size-10
mean reaction time(seconds)-0.52
Standard deviation of reaction times(seconds-0.02
.
Assume that the reaction times for both populations are normally distributed with the same population standard deviation.
a)Construct a 98% confidence interval for the difference between the population means of reaction times.
---
I used my TI-84 and ran a 2-Sample T Interval to get:
----
x-bar = 0.5-0.52 = -0.02
-------
ME: = 0.0183
---
98% CI: -0.0383< u < -0.0017
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Cheers,
Stan H.