Twelve different video games showing substance use were observed and the duratio

Question

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 99% confidence interval estimate of mu, the mean duration of game play. 4049 3880 3867 4027 4317 4806 4652 4026 4998 4823 4340 4327 Click here to view a t distribution table. LOADING... Click here to view page 1 of the standard normal distribution table. LOADING... Click here to view page 2 of the standard normal distribution table. LOADING... What is the confidence interval estimate of the population mean mu?

Explanation / Answer

mean = 4342.667 , std.dev = 392.885 , n =12
t value at 99% = 3.1058

CI = mean + /- t * (s/sqrt(n))
= 4342.667 +/- 3.1058 * ( 392.885 / sqrt(12))
= (3990.4188 , 4694.9145)

Lower Bound = 3990.4188
Upper Bound = 4694.9145

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