SOLUTION: 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 t

Question 374127: 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 fifty randomly selected adult male subjects. The mean and standard deviation of the reaction times (in seconds) for the fifty adult male subjects were 1.82 seconds and 0.28 seconds respectively. Previous psychological studies have shown 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 adult males is longer than that of non-sleep-deprived adult males. Select the correct hypotheses to test below.
Choose one answer.
A. Ho:u= 1.82
Ha:u< 1.82
B. Ho:u= 1.70
Ha:u< 1.70

C. Ho:u= 1.82
Ha:u> 1.82
D. Ho:u= 1.70
Ha:u> 1.70
E. None of the above
I choose C.
u =The true mean reaction time for sleep deprived adult males
the key word was longer which mean I use the greater than symbol

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
The answer is NOT C because the population mean is NOT 1.82 (that's the sample mean). Since the population mean is 1.70 (since the "true mean reaction time for non-sleep-deprived male subjects is 1.70 seconds"), this means that the null hypothesis is : . And because we're asking if the average time is longer than 1.70 seconds, the alternate hypothesis is :

So the answer is D
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