From the estimation of the population mean of the Year of Education with a 99% confidence interval, what is the lower limit? (Round off to two decimal places if necessary). **Table 1. Data from Random Sampling**The table below presents data collected from a random sample. The columns represent different categories, and the rows provide specific data points for each individual in the sample.| Monthly Income ($1,000) | Marital Status | Year of Education | Type of Punishment | Sentence Year ||------------------------|----------------|-------------------|--------------------|--------------|| 1.8 | 2 | 8 | 2 | 8 || 2.3 | 3 | 7 | 1 | 9 || 2.5 | 1 | 10 | 2 | 18 || 2.3 | 1 | 9 | 1 | 22 || 1.9 | 2 | 14 | 1 | 8 || 1.9 | 1 | 11 | 1 | 15 || 1.9 | 2 | 14 | 2 | 20 || 2.1 | 3 | 12 | 1 | 6 || 1.9 | 2 | 7 | 1 | 15 || 2.1 | 2 | 10 | 3 | 9 || 2.1 | 3 | 12 | 2 | 19 || 2.0 | 1 | 8 | 2 | 14 || 2.6 | 2 | 8 | 2 | 13 || 2.6 | 1 | 9 | 1 | 9 || 2.0 | 1 | 7 | 2 | 11 || 2.6 | 1 | 12 | 3 | 7 || 1.9 | 2 | 9 | 1 | 11 || 2.5 | 3 | 7 | 2 | 7 || 2.1 ### Types of Punishment1. **Probation/Community Service**2. **Jail Incarceration**3. **Prison Incarceration**### Marital Status1. **Married**2. **Single**3. **Other**This chart is a classification system for types of punishment and marital status, using numerical identifiers for each category. It is organized into two sections: "Type of Punishment" and "Marital Status," each listing options with corresponding numbers for easy reference in data analysis or educational purposes.

Answered: From the estimation of the population…

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

From the estimation of the population mean of the Year of Education with a 99% confidence interval, what is the lower limit? (Round off to two decimal places if necessary).

**Table 1. Data from Random Sampling**

The table below presents data collected from a random sample. The columns represent different categories, and the rows provide specific data points for each individual in the sample.

| Monthly Income ($1,000) | Marital Status | Year of Education | Type of Punishment | Sentence Year |
|------------------------|----------------|-------------------|--------------------|--------------|
| 1.8 | 2 | 8 | 2 | 8 |
| 2.3 | 3 | 7 | 1 | 9 |
| 2.5 | 1 | 10 | 2 | 18 |
| 2.3 | 1 | 9 | 1 | 22 |
| 1.9 | 2 | 14 | 1 | 8 |
| 1.9 | 1 | 11 | 1 | 15 |
| 1.9 | 2 | 14 | 2 | 20 |
| 2.1 | 3 | 12 | 1 | 6 |
| 1.9 | 2 | 7 | 1 | 15 |
| 2.1 | 2 | 10 | 3 | 9 |
| 2.1 | 3 | 12 | 2 | 19 |
| 2.0 | 1 | 8 | 2 | 14 |
| 2.6 | 2 | 8 | 2 | 13 |
| 2.6 | 1 | 9 | 1 | 9 |
| 2.0 | 1 | 7 | 2 | 11 |
| 2.6 | 1 | 12 | 3 | 7 |
| 1.9 | 2 | 9 | 1 | 11 |
| 2.5 | 3 | 7 | 2 | 7 |
| 2.1

### Types of Punishment

1. **Probation/Community Service**
2. **Jail Incarceration**
3. **Prison Incarceration**

### Marital Status

1. **Married**
2. **Single**
3. **Other**

This chart is a classification system for types of punishment and marital status, using numerical identifiers for each category. It is organized into two sections: "Type of Punishment" and "Marital Status," each listing options with corresponding numbers for easy reference in data analysis or educational purposes.

Expert Solution

Step 1

The 99% confidence interval for the the population mean years of education, will signify that, with 99% confidence the population mean years of education lies within that interval. If $(a, b)$ denotes the 99% confidence interval, then a will be the lower limit and b will be the upper limit.

Since, population standard deviation is unknown, the sampling distribution can be assumed to follow student-t distribution and further t-confidence interval formula will be appropriate in this case.