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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**Title:** Investigating Changes in the Mean Age of Death-Row Inmates

**Background:**

One year, the mean age of an inmate on death row was recorded as 40.5 years. A sociologist was curious to see if this mean age has changed over time. 

**Study Design:**

- The sociologist randomly selected 32 death-row inmates.
- The mean age of these selected inmates was calculated to be 39.5 years.
- The standard deviation of their ages was found to be 8.2 years.

**Objective:**

Construct a 95% confidence interval for the mean age of death-row inmates to determine if there is a significant change from the previously recorded mean of 40.5 years.

**Instructions:**

- Click the icon to view the table of critical t-values for precise calculations.

**Hypotheses:**

- **\( H_0 \):** \(\mu = 40.5\) 
- **\( H_1 \):** \(\mu \neq 40.5\) 

*(Note: Choose the correct hypothesis by selecting the appropriate symbols and values. Type integers or decimals exactly as needed; do not round.)* 

This study focuses on understanding whether there is a statistical difference in the mean age of death-row inmates compared to previous data.
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Transcribed Image Text:**Title:** Investigating Changes in the Mean Age of Death-Row Inmates **Background:** One year, the mean age of an inmate on death row was recorded as 40.5 years. A sociologist was curious to see if this mean age has changed over time. **Study Design:** - The sociologist randomly selected 32 death-row inmates. - The mean age of these selected inmates was calculated to be 39.5 years. - The standard deviation of their ages was found to be 8.2 years. **Objective:** Construct a 95% confidence interval for the mean age of death-row inmates to determine if there is a significant change from the previously recorded mean of 40.5 years. **Instructions:** - Click the icon to view the table of critical t-values for precise calculations. **Hypotheses:** - **\( H_0 \):** \(\mu = 40.5\) - **\( H_1 \):** \(\mu \neq 40.5\) *(Note: Choose the correct hypothesis by selecting the appropriate symbols and values. Type integers or decimals exactly as needed; do not round.)* This study focuses on understanding whether there is a statistical difference in the mean age of death-row inmates compared to previous data.
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