A psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows:                 x = 1.82, s = 0.22  Previous psychological studies show that the true mean reaction time for non-sleep-deprived male subjects is 1.70 seconds.  Does the sample evidence indicate that the mean reaction time for sleep-deprived male subjects is  longer than that of non-sleep-deprived male subjects  ? α = 0.05 (ii) The test statistic for the above problem is

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A psychologist is studying the effects of lack of sleep on the performance of various perceptual-motor tasks. After a given period of sleep deprivation, a measurement of reaction time to an auditory stimulus was taken for each of 36 adult male subjects. The reaction times (in seconds) are summarized as follows:

                x = 1.82, s = 0.22

 Previous psychological studies show that the true mean reaction time for non-sleep-deprived male subjects is 1.70 seconds.

  1.  Does the sample evidence indicate that the mean reaction time for sleep-deprived male subjects is  longer than that of non-sleep-deprived male subjects  ? α = 0.05

(ii) The test statistic for the above problem is

 
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