Question

In: Statistics and Probability

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 a 95​% 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.

3909 5028 4195 3837 4205 3908 3918 4279 4119 4199 4379 5027

sec< σ < sec

Solutions

Expert Solution

3909 -341.25 116451.5625
5028 777.75 604895.0625
4195 -55.25 3052.5625
3837 -413.25 170775.5625
4205 -45.25 2047.5625
3908 -342.25 117135.0625
3918 -332.25 110390.0625
4279 28.75 826.5625
4119 -131.25 17226.5625
4199 -51.25 2626.5625
4379 128.75 16576.5625
5027 776.75 603340.5625
51003 1765344.25

Refer chi-square table or use excel formula "=CHISQ.INV.RT(0.975,11)" & "=CHISQ.INV.RT(0.025,11)" to find the critical values.


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