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. b) Find a 95% confidence interval for the mean reaction time for sleep-deprived male subjects.

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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.
b) Find a 95% confidence interval for the mean reaction time for sleep-deprived
male subjects.
(1.760, 1.881)
(1.767, 1.873)
(1.725, 1.915)
(1.748, 1.981)
Transcribed Image Text: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. b) Find a 95% confidence interval for the mean reaction time for sleep-deprived male subjects. (1.760, 1.881) (1.767, 1.873) (1.725, 1.915) (1.748, 1.981)
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