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 51.A researcher is comparing the reaction times of 10 year olds who playvideogames and 10-year-olds who do not. Random samples from eachgroup provide the results shown below.Reaction times of 10-year-oldsPlayers ofVideo GamesNon-PlayersOf Video GamesSample size1510Mean reaction time(seconds)0.500.52Standard deviationof reaction times(seconds)0.010.02Assume that the reaction times for both populations are normally distributedwith the same population standard deviation.a.Construct a 98% confidence interval for the difference between thepopulation means of the reaction times.Note: Express your answer to 5 decimal places of accuracy.𝑠𝑝=ට(𝑛1−1)𝑠12+(𝑛2−1)𝑠22𝑛1+𝑛2−2=ට(15−1)(0.01)2+(10−1)(0.02)215+10−2=0.01474.The98% confidence interval for the difference between thepopulation means of the reaction times

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