I need the answer please. Thank you ### Confidence Interval for Tics Per Hour in Children with Tourette SyndromeA psychiatrist is interested in finding a 95% confidence interval for the tics per hour exhibited by children with Tourette syndrome. The data below shows the tics in an observed hour for 15 randomly selected children with Tourette syndrome. Round answers to 3 decimal places where possible.#### Observed Data (Tics per Hour):\[0, 3, 1, 8, 12, 10, 0, 8, 7, 1, 5, 1, 9, 2, 12\]### Instructions and Steps:a. **To compute the confidence interval use a ___ distribution.**- (Here, typically a **t** distribution is used if standard deviation of the population is unknown and the sample size is small.)b. **With 95% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ___ and ___.**c. **If many groups of 15 randomly selected children with Tourette syndrome are observed, then a different confidence interval would be produced from each group. About ___ percent of these confidence intervals will contain the true population mean number of tics per hour and about ___ percent will not contain the true population mean number of tics per hour.**- (This is typically 95% and 5% respectively.)### Supporting Concepts#### Data Interpretation:1. **Identifying Distribution:** Understanding which statistical distribution to use is crucial for computation. With smaller sample sizes (typically <30), and when population standard deviation is unknown, the **t-distribution** is appropriate.2. **Confidence Interval Calculation:** Confidence intervals provide a range within which you expect the true population parameter (mean number of tics per hour) to lie, given a certain level of confidence (here, 95%).3. **Sampling Variation:** Different random samples will yield different confidence intervals, but 95% of those intervals are expected to contain the true population mean, indicating the interval estimation process's reliability.#### Example Help and Instructor Communication:- The platform offers options for further assistance through written examples or direct communication with the instructor.**Interactive Components:**- **Submit Question Button:** To finalize and submit the answer.- **Jump to Answer:** To view the answer explanation directly.This structured approach ensures clarity for students learning to compute and interpret confidence intervals in statistical analysis, reinforcing the

The mean is calculated as follows: The sample standard deviation is calculated as follows:

A psychiatrist is interested in finding a 95% confidence interval for the tics per hour exhibited by children with Tourette syndrome. The data below show the tics in an observed hour for 15 randomly selected children with Tourette syndrome. Round answers to 3 decimal places where possible.

A psychiatrist is interested in finding a 95% confidence interval for the tics per hour exhibited by children with Tourette syndrome. The data below show the tics in an observed hour for 15 randomly selected children with Tourette syndrome. Round answers to 3 decimal places where possible.

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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I need the answer please. Thank you

### Confidence Interval for Tics Per Hour in Children with Tourette Syndrome

A psychiatrist is interested in finding a 95% confidence interval for the tics per hour exhibited by children with Tourette syndrome. The data below shows the tics in an observed hour for 15 randomly selected children with Tourette syndrome. Round answers to 3 decimal places where possible.

#### Observed Data (Tics per Hour):

\[0, 3, 1, 8, 12, 10, 0, 8, 7, 1, 5, 1, 9, 2, 12\]

### Instructions and Steps:

a. **To compute the confidence interval use a ___ distribution.**

- (Here, typically a **t** distribution is used if standard deviation of the population is unknown and the sample size is small.)

b. **With 95% confidence the population mean number of tics per hour that children with Tourette syndrome exhibit is between ___ and ___.**

c. **If many groups of 15 randomly selected children with Tourette syndrome are observed, then a different confidence interval would be produced from each group. About ___ percent of these confidence intervals will contain the true population mean number of tics per hour and about ___ percent will not contain the true population mean number of tics per hour.**

- (This is typically 95% and 5% respectively.)

### Supporting Concepts

#### Data Interpretation:

1. **Identifying Distribution:** Understanding which statistical distribution to use is crucial for computation. With smaller sample sizes (typically <30), and when population standard deviation is unknown, the **t-distribution** is appropriate.

2. **Confidence Interval Calculation:** Confidence intervals provide a range within which you expect the true population parameter (mean number of tics per hour) to lie, given a certain level of confidence (here, 95%).

3. **Sampling Variation:** Different random samples will yield different confidence intervals, but 95% of those intervals are expected to contain the true population mean, indicating the interval estimation process's reliability.

#### Example Help and Instructor Communication:

- The platform offers options for further assistance through written examples or direct communication with the instructor.

**Interactive Components:**
- **Submit Question Button:** To finalize and submit the answer.
- **Jump to Answer:** To view the answer explanation directly.

This structured approach ensures clarity for students learning to compute and interpret confidence intervals in statistical analysis, reinforcing the

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