Question

In: Statistics and Probability

Twelve different video games showing substance use were observed and the duration times of game play...

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 u, the mean duration of game play.

4042 3880 3850 4022 4322 4814 4660 4037 5003 4823 4332 4323

What is the confidence interval estimate of the population mean?

? < u < ?

Solutions

Expert Solution

First we need to find the mean and SD of data. Following table shows the calculations:

X (X-mean)^2
4042 90198.1089
3880 213749.0289
3850 242388.8289
4022 102611.3089
4322 413.3089
4814 222472.5889
4660 100914.2289
4037 93226.4089
5003 436484.8489
4823 231043.6489
4332 106.7089
4323 373.6489
Total 52108 1733982.667

Sample size: n=12

And

Mean:


Standard deviation:

The confidence interval estimate of the population mean is


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