MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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I am unsure how to complete this graph, any help would be great, thank you.

## Confidence Interval Activity **Context:** A committee is studying the waste of time in the judicial system, specifically focusing on jury duty wait times at courthouses. They surveyed 81 individuals who served as jurors, noting that the average wait time was 9 hours, with a standard deviation of 2 hours. --- ### Part (d) **Objective:** Construct a 95% confidence interval for the population mean time wasted. #### Steps: 1. **State the Confidence Interval:** - Calculate and provide the interval. Round to two decimal places. - \(\_\_\_\_.\_\_\_\_\) hrs 2. **Graph Sketching:** - Prepare a graph with the following elements: - A bell curve indicating a normal distribution. - \(CL\) (Confidence Level) indicated at the top of the curve. - \(\frac{\alpha}{2}\) values on either side, with areas shaded under the curve. - Mean (\(\overline{X}\)) shown at the center. 3. **Calculate the Error Bound:** - Provide the error bound. Round to two decimal places. - \(\_\_\_\_.\_\_\_\_\) hrs --- ### Part (e) **Explanation of Confidence Interval:** Choose the accurate statement: - There is a 95% chance that a wait time at the courthouse lies within this interval. - We are 95% confident that the true population mean wait time at the courthouse lies within this interval. - We are 95% confident that a wait time at the courthouse lies within this interval. - We are 95% confident that the mean wait time of the sample of 81 individuals waiting at the courthouse lies within this interval. --- This explanation and calculation will provide insights into the average time wasted by jurors, supporting decisions to potentially improve efficiency in the judicial process.
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Transcribed Image Text:## Confidence Interval Activity **Context:** A committee is studying the waste of time in the judicial system, specifically focusing on jury duty wait times at courthouses. They surveyed 81 individuals who served as jurors, noting that the average wait time was 9 hours, with a standard deviation of 2 hours. --- ### Part (d) **Objective:** Construct a 95% confidence interval for the population mean time wasted. #### Steps: 1. **State the Confidence Interval:** - Calculate and provide the interval. Round to two decimal places. - \(\_\_\_\_.\_\_\_\_\) hrs 2. **Graph Sketching:** - Prepare a graph with the following elements: - A bell curve indicating a normal distribution. - \(CL\) (Confidence Level) indicated at the top of the curve. - \(\frac{\alpha}{2}\) values on either side, with areas shaded under the curve. - Mean (\(\overline{X}\)) shown at the center. 3. **Calculate the Error Bound:** - Provide the error bound. Round to two decimal places. - \(\_\_\_\_.\_\_\_\_\) hrs --- ### Part (e) **Explanation of Confidence Interval:** Choose the accurate statement: - There is a 95% chance that a wait time at the courthouse lies within this interval. - We are 95% confident that the true population mean wait time at the courthouse lies within this interval. - We are 95% confident that a wait time at the courthouse lies within this interval. - We are 95% confident that the mean wait time of the sample of 81 individuals waiting at the courthouse lies within this interval. --- This explanation and calculation will provide insights into the average time wasted by jurors, supporting decisions to potentially improve efficiency in the judicial process.
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