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. - $\_\_\_\_.\_\_\_\_$ hrs2. **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.

For a confidence level of 1 − α, use Table II to find zα/2We want a 95% confidence interval, so α =…

Suppose that a comm studying ether is waste of ime in our judicial system. the mean amoun individuals waste at the courthouse wa randomly surveyed 81 people who recently served as jurors. The sample mean wait time was nine hours with a sample standard deviation of two hours. O Part (a) Part (b) Part (c) O Part (d) Construct a 95% confidence interval for the population mean time wasted. ) State the confidence interval. (Round your answers to two decimal places.) hrs (1) Sketch the graph. (Round your answers to two decimal places. Enter your al2 to three decimal places.) CL

Suppose that a comm studying ether is waste of ime in our judicial system. the mean amoun individuals waste at the courthouse wa randomly surveyed 81 people who recently served as jurors. The sample mean wait time was nine hours with a sample standard deviation of two hours. O Part (a) Part (b) Part (c) O Part (d) Construct a 95% confidence interval for the population mean time wasted. ) State the confidence interval. (Round your answers to two decimal places.) hrs (1) Sketch the graph. (Round your answers to two decimal places. Enter your al2 to three decimal places.) CL

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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Question

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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