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

Twelve different video games showing substance use were observed and the duration of 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 sample data to construct an 80​% confidence interval estimate of σ​, the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution.

3,965

4,864

4,876.

4,390   

4,279   

4,457

3,959

3,901

4,839

4,892

4,735

3,904

Homework Answers

Answer #1

We have for given data ,

Sample size:12

Mean (x̄): 4421.75

Variance (s^2): 170901.6591

Standard deviation (s): 413.40254

Degree of freedom =n-1 = 12 - 1 = 11

Lower tail chi square critical value is 5.578.................by using Excel command CHIINV(1-(0.2/2),11)

Upper tail chi square critical value is 17.275..................by using Excel command CHIINV((0.2/2),11)

We can use here,

Therefore, we are 80% confident that the standard deviation of the duration times of game play is between 329.883 to 580.537

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