3. A psychologist is studying the effects of lack of sleep on the performance ofvarious perceptual-motor tasks. After a given period of sleep deprivation, ameasurement of reaction time to an auditory stimulus was taken for each of 36 adultmale subjects. The reaction times (in seconds) are summarized as follows:x = 1.82, s = 0.22Previous psychological studies show that the true mean reaction time for non-sleep-deprived male subjects is 1.70 seconds.a. 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 ?a = 0.05(iv) The conclusion for the above problem isDo not reject the null hypothesis and mean reaction time for sleep-deprivedmale subjects is not longer than that of non-sleep-deprived male subjectsReject the null hypothesis and mean reaction time for sleep-deprived malesubjects is longer than that of non-sleep-deprived male subjectsDo not reject the null hypothesis and mean reaction time for sleep-deprivedmale subjects is longer than that of non-sleep-deprived male subjectsReject the null hypothesis and mean reaction time for sleep-deprived malesubjects is not longer than that of non-sleep-deprived male subjects

Followings are the Explanation of the question Use the One sample t test ,because we don't no about…

3. 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. a. 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 ? a = 0.05