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

9595 %

confidence interval estimate of

muμ ,

the mean duration of game play.

40444044

38743874

38673867

40324032

43174317

48104810

46604660

40274027

50075007

48184818

43444344

43164316

Click

Solutions

Expert Solution

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)


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