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 90​% confidence interval estimate of mu​, the mean duration of game play. 4054 3886 3860 4023 4324 4815 4651 4028 5009 4830 4326 4317

Answer 1

Solution: First we need to find the sample mean and sample standard deviation of the given mean duration of game play data.

The mean and standard deviation is given below:

Now the 90% confidence interval estimate of , the mean duration of game play is:

Where:

is the critical value at 0.1 significance level for and can be found using the t distribution table.

  

  

Therefore the 90% confidence interval estimate of , the mean duration of game play is: