### Constructing a 90% Confidence Interval for the Standard Deviation of Game Play DurationIn a study involving twelve different video games showing substance use, the duration of game play (in seconds) was recorded. The data collected is as follows:- 4647, 4119, 4347, 4331, 4048, 3934- 4054, 4793, 4747, 4407, 4768, 4895The design of this study supports the assumption that this sample can be treated as a simple random sample. Additionally, it is assumed that this sample was obtained from a population that follows a normal distribution.**Objective**: Construct a 90% confidence interval estimate for \( \sigma \) (the standard deviation of the duration times of game play).#### Step-by-Step Instructions:1. **Extract the Data**: The recorded durations of game play (in seconds) are: - 4647, 4119, 4347, 4331, 4048, 3934 - 4054, 4793, 4747, 4407, 4768, 48952. **Formulate the Confidence Interval**: Use the sample data to calculate the confidence interval for \( \sigma \). Here, the 90% confidence interval estimate for \( \sigma \) involves calculating the appropriate chi-square critical values and using them in the formula for the standard deviation.3. **Chi-Square Critical Values**: Click the icon provided in your resource material to access the table of Chi-Square critical values necessary for these calculations.4. **Calculate and Interpret**: After obtaining the chi-square critical values from the table, use them to compute the confidence interval estimate for the standard deviation. **Result**:The confidence interval estimate is: \[ \text{sec} < \sigma < \text{sec} \](Round to one decimal place as needed).This calculation ensures that there is a 90% probability that the true standard deviation of the duration of game play lies within the calculated interval. **Note**: This explanation assumes access to the necessary statistical tables and computational tools to complete the steps.For further assistance, refer to the detailed statistical methodology or consult a statistics textbook.

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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 90% 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. 4,647 4,119 4,347 4,331 4,048 3,934 4,054 4,793 4,747 4,407 4,768 4,895

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 90% 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. 4,647 4,119 4,347 4,331 4,048 3,934 4,054 4,793 4,747 4,407 4,768 4,895

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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