In: Statistics and Probability
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 < ?
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