Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of two hours. O Part (a) (i) Enter an exact number as an integer, fraction, or decimal. hrs (ii) Enter an exact number as an integer, fraction, or decimal. Sy = hrs (iii) Enter an exact number as an integer, fraction, or decimal. n = (iv) Enter an exact number as an integer, fraction, or decimal. n-1 = O Part (b) O Part (c) O Part (d) Construct a 95% confidence interval for the population mean time wasted. (i) State the confidence interval. (Round your answers to two decimal places.) hrs (ii) Sketch the graph. (Round your answers to two decimal places. Enter your a/2 to three decimal places.) CL = (iii) Calculate the error bound. (Round your answer to two decimal places.) hrs

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Please label each part.

**Title: Analyzing Jury Duty Wait Times**

**Introduction:**
A committee is studying whether there is waste of time in our judicial system concerning jury duty. They are investigating the mean amount of time individuals spend waiting at the courthouse. A survey of 81 jurors yielded a sample mean wait time of 8 hours with a standard deviation of 2 hours.

### Part (a)

1. **Enter an exact number as an integer, fraction, or decimal.**
   - \( \bar{x} = \) [___] hrs

2. **Enter an exact number as an integer, fraction, or decimal.**
   - \( s_x = \) [___] hrs

3. **Enter an exact number as an integer, fraction, or decimal.**
   - \( n = \) [___]

4. **Enter an exact number as an integer, fraction, or decimal.**
   - \( n - 1 = \) [___]

### Parts (b) and (c)
- Not displayed.

### Part (d)

**Constructing a 95% Confidence Interval for the Population Mean Time Wasted:**

1. **State the Confidence Interval. (Round your answers to two decimal places.)**
   - ( [___] , [___] ) hrs

2. **Sketch the Graph.** (Round your answers to two decimal places. Enter your \(\alpha/2\) to three decimal places.)

   **Explanation of the Graph:**
   The graph is a bell curve representing a normal distribution, highlighting the confidence interval (CL) in the center. The endpoints of the shaded area correspond to the confidence limits, and \(\alpha/2\) is marked at both tails of the distribution.

   - CL = [___]
   - \(\alpha/2 =\) [___]

3. **Calculate the Error Bound. (Round your answer to two decimal places.)**
   - [___] hrs
Transcribed Image Text:**Title: Analyzing Jury Duty Wait Times** **Introduction:** A committee is studying whether there is waste of time in our judicial system concerning jury duty. They are investigating the mean amount of time individuals spend waiting at the courthouse. A survey of 81 jurors yielded a sample mean wait time of 8 hours with a standard deviation of 2 hours. ### Part (a) 1. **Enter an exact number as an integer, fraction, or decimal.** - \( \bar{x} = \) [___] hrs 2. **Enter an exact number as an integer, fraction, or decimal.** - \( s_x = \) [___] hrs 3. **Enter an exact number as an integer, fraction, or decimal.** - \( n = \) [___] 4. **Enter an exact number as an integer, fraction, or decimal.** - \( n - 1 = \) [___] ### Parts (b) and (c) - Not displayed. ### Part (d) **Constructing a 95% Confidence Interval for the Population Mean Time Wasted:** 1. **State the Confidence Interval. (Round your answers to two decimal places.)** - ( [___] , [___] ) hrs 2. **Sketch the Graph.** (Round your answers to two decimal places. Enter your \(\alpha/2\) to three decimal places.) **Explanation of the Graph:** The graph is a bell curve representing a normal distribution, highlighting the confidence interval (CL) in the center. The endpoints of the shaded area correspond to the confidence limits, and \(\alpha/2\) is marked at both tails of the distribution. - CL = [___] - \(\alpha/2 =\) [___] 3. **Calculate the Error Bound. (Round your answer to two decimal places.)** - [___] hrs
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