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
9595 %
confidence interval estimate of
muμ ,
the mean duration of game play.
40444044 |
38743874 |
38673867 |
40324032 |
43174317 |
48104810 |
46604660 |
40274027 |
50075007 |
48184818 |
43444344 |
43164316 |
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Formula for Confidence Interval for Population mean when population Standard deviation is not known
Sample size : n = 12
Sample mean:
Sample standard deviation :
x:Duration time | |||
4044 | -299 | 89401 | |
3874 | -469 | 219961 | |
3867 | -476 | 226576 | |
4032 | -311 | 96721 | |
4317 | -26 | 676 | |
4810 | 467 | 218089 | |
4660 | 317 | 100489 | |
4027 | -316 | 99856 | |
5007 | 664 | 440896 | |
4818 | 475 | 225625 | |
4344 | 1 | 1 | |
4316 | -27 | 729 | |
Total | 52116 | = 1719020 | |
Mean | = 52116/12 =4343 |
Sample Size : n | 12 |
Degrees of freedom : n-1 | 11 |
Confidence Level : | 95 |
= (100-95)/100 | 0.05 |
/2 = 0.05/2 | 0.025 |
2.201 |
95 % Confidence interval estimate of , the mean duration of game play:
95 % Confidence interval estimate of , the mean duration of game play = (4091.8267,4594.1733)