Twelve different video games showing substance use were observed
and the duration times of game play (in seconds) are listed below.
The design of the study justifies the assumption that the sample
can be treated as a simple random sample. Use the data to construct
a 90% confidence interval estimate of mu, the mean duration of
game play.
4040
3881
3858
4031
4328
4820
4658
4042
4998
4821
4344
4319
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What is the confidence interval estimate of the population mean
mu?
nothingless thanmuless than
nothing
(Round to one decimal place as needed.)
sample mean, xbar = 4345
sample standard deviation, s = 394.6736
sample size, n = 12
degrees of freedom, df = n - 1 = 11
Given CI level is 90%, hence α = 1 - 0.9 = 0.1
α/2 = 0.1/2 = 0.05, tc = t(α/2, df) = 1.796
CI = (xbar - tc * s/sqrt(n) , xbar + tc * s/sqrt(n))
CI = (4345 - 1.796 * 394.6736/sqrt(12) , 4345 + 1.796 *
394.6736/sqrt(12))
CI = (4140.4 , 4549.6)
Twelve different video games showing substance use were observed and the duration times of game play...