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 95% confidence interval estimate of μ, the mean duration of game play.
4049, 3877,3853,4019,4323,4820,4656,4035,5001,4826,4326,4311
From the given data,
Sample mean =
4341.3333
Sample standard deviation S = 397.3735
t critical value at 0.05 level with 11 df = 2.201
95% confidence interval for is
- t * S /
sqrt(n) <
<
+ t * S /
sqrt(n)
4341.3333 - 2.201 * 397.3735 / sqrt(12) < < 4341.3333 +
2.201 * 397.3735 / sqrt(12)
4088.85 < < 4593.81
95% CI is ( 4088.85 4593.81 )
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