theness of a dhug for treating nsomnia in okler subjects Before treatment, 22 su
ID: 3072766 • Letter: T
Question
theness of a dhug for treating nsomnia in okler subjects Before treatment, 22 subjects had a mean wake time of 101 0 man. Afte treatment, the 22 subjects had a deviation ol 24 6n Assume that the 22 be fom a normally dutbuted pepulation and construct a 90% corddence neeal estimate of the with dug does the result suggest about the mean wake time of 101 0 min before the tement? Dees the dug appear to be efectve? Construct the 90% conhterce nterat estimate ofthe mean wake time for a population with the treatment What does the resut suggest aboul the mean wake time of 101 0 min before the t The conlidence interval treatment? Dees the diug appear to be effective the mean wake time of 101 0 min before the treatment, so the means beore and ater the treatment seeExplanation / Answer
Before treatment
n= 22 subjects
Mean time= 101 min
After treatment
n= 22
mean time = 78.7 min
Standard deviation= 24.6 min
90% confidence interval for 22 subjects with treatment is
Mean = 78.7 min
t critical= 1.72
sM = (24.6)^2/22) = 5.24
= M ± t(sM)
= 78.7 ± 1.72*5.24
= 78.7 ± 9.025
Mean = 78.7, 90% CI [69.675, 87.725].
You can be 90% confident that the population mean () falls between (69.7 and 87.7) min.
Yes the treatment is effective.
The confidence interval does not contain the mean wake time of 101 min before the treatment so the means before and after the treatment effective.
It has significant effect.
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