Statistical Analysis and Hypothesis Testing in Various Research Scenarios
Solved assignment covering hypothesis testing and statistical analysis in diverse research cases.
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Statistics 5
1. A researcher is comparing the reaction times of 10 year olds who play
video games and 10-year-olds who do not. Random samples from each
group provide the results shown below.
Reaction times of 10-year-olds
Players of
Video Games
Non-Players
Of Video Games
Sample size 15 10
Mean reaction time
(seconds)
0.50 0.52
Standard deviation
of reaction times
(seconds)
0.01 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 the reaction times.
Note: Express your answer to 5 decimal places of accuracy.
๐ ๐ = เถง(๐1โ1)๐ 1
2 + (๐2โ1)๐ 2
2
๐1 + ๐2 โ 2 = เถง(15โ1)(0.01)2 + (10โ1)(0.02)2
15 + 10โ2 = 0.01474 .
The 98% confidence interval for the difference between the
population means of the reaction times
1. A researcher is comparing the reaction times of 10 year olds who play
video games and 10-year-olds who do not. Random samples from each
group provide the results shown below.
Reaction times of 10-year-olds
Players of
Video Games
Non-Players
Of Video Games
Sample size 15 10
Mean reaction time
(seconds)
0.50 0.52
Standard deviation
of reaction times
(seconds)
0.01 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 the reaction times.
Note: Express your answer to 5 decimal places of accuracy.
๐ ๐ = เถง(๐1โ1)๐ 1
2 + (๐2โ1)๐ 2
2
๐1 + ๐2 โ 2 = เถง(15โ1)(0.01)2 + (10โ1)(0.02)2
15 + 10โ2 = 0.01474 .
The 98% confidence interval for the difference between the
population means of the reaction times
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Subject
Statistics