welve different video games showing substance use were obser

welve 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 a95% confidence interval estimate of mu, the mean duration of game play.

What is the confidence interval estimate of the population mean mu?

4044

3882

3868

4037

4325

4818

4664

4023

4995

4827

4330

4314

____< mu < ____?

Solution

Note that              
              
Lower Bound = X - t(alpha/2) * s / sqrt(n)              
Upper Bound = X + t(alpha/2) * s / sqrt(n)              
              
where              
alpha/2 = (1 - confidence level)/2 =    0.025          
X = sample mean =    4343.916667          
t(alpha/2) = critical t for the confidence interval =    2.20098516          
s = sample standard deviation =    394.615223          
n = sample size =    12          
df = n - 1 =    11          
Thus,              
              
Lower bound =    4093.190116          
Upper bound =    4594.643218          
              
Thus, the confidence interval is              
              
(   4093.190116   ,   4594.643218   ) [ANSWER]