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 o, the standard deviation of the duration times of game play. Assume that this sample was obtained from a population with a normal distribution. 4,317 4,533 4,708 4,585 4,163 4,415 4,992 4,902 4,000 4,550 4,631 4,151

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### Observational Study on Video Game Duration

Twelve different video games that depict substance use were analyzed to measure their gameplay durations, recorded in seconds. The data below is assumed to be from a simple random sample and the population is considered normally distributed.

#### Game Play Durations (in seconds):
- 4,317
- 4,533
- 4,708
- 4,585
- 4,163
- 4,415
- 4,992
- 4,902
- 4,000
- 4,550
- 4,631
- 4,151

#### Objective:
Utilize the sample data to calculate a 95% confidence interval for σ, the standard deviation of gameplay durations. 

#### Tools:
- **Chi-Square Distribution**: Access the table of critical values for Chi-Square to aid in constructing the confidence interval.

#### Calculation:
Determine the confidence interval for the standard deviation, σ, from the given sample data. Round results to one decimal place as necessary.

> Note: This analysis provides an estimated range within which the true standard deviation of the population lies, with 95% confidence.

Fill in the blanks for the confidence interval estimate:
- \(\_\_\_\_\) sec < σ < \(\_\_\_\_\) sec.
Transcribed Image Text:### Observational Study on Video Game Duration Twelve different video games that depict substance use were analyzed to measure their gameplay durations, recorded in seconds. The data below is assumed to be from a simple random sample and the population is considered normally distributed. #### Game Play Durations (in seconds): - 4,317 - 4,533 - 4,708 - 4,585 - 4,163 - 4,415 - 4,992 - 4,902 - 4,000 - 4,550 - 4,631 - 4,151 #### Objective: Utilize the sample data to calculate a 95% confidence interval for σ, the standard deviation of gameplay durations. #### Tools: - **Chi-Square Distribution**: Access the table of critical values for Chi-Square to aid in constructing the confidence interval. #### Calculation: Determine the confidence interval for the standard deviation, σ, from the given sample data. Round results to one decimal place as necessary. > Note: This analysis provides an estimated range within which the true standard deviation of the population lies, with 95% confidence. Fill in the blanks for the confidence interval estimate: - \(\_\_\_\_\) sec < σ < \(\_\_\_\_\) sec.
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