Using the scientific method Twelve different video games showing substance use w

Question

Using the scientific method

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 99% confidence interval estimate of , the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution.

3,848 4,020 4,649 4,483 4,042 3,938

3,841 4,022 4,690 4,758 4,723 5,050

The confidence interval estimate is ______ sec < <_____sec. (Round to one decimal place as needed.)

Explanation / Answer

for11 degree of freedom and 99% CI, chi square critical values are X20.005,11 =26.7568 and   X20.995,11 =2.6032

hence confidence interval of variance : (n-1)s2/X20.005,11 <2<(n-1)s2/X20.995,11

75080.54<2<771704.74

confidence interval of std deviation from above :   274.0 < <878.5

X 3848 4020 4649 4483 4042 3938 3841 4022 4690 4758 4723 5050 std deviation 427.35111 s^2 182628.97

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