An experiment was conducted to see if elderly patients had more trouble keeping their balance when loud, unpredictable noises were made compared to younger patients who were also exposed to the noises. Researchers compared the amount of forward and backward sway for the two groups. The researchers conducted the experiment and obtained data summarized in the following table: X S n Elderly Young 26.33 18.13 9.77 9 The standardized test statistic is t = 4.09 8 Your answer: equation? Answer to two decimal places. 2.30 Challenge this Question 26.33-18.13 = 2.30. What belongs in place of the letter B in the 9.772 B2 X

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**Title: Study on Balance and Noise Among Elderly and Young Patients**

**Introduction:**

An experiment was conducted to determine if elderly patients experience more difficulty maintaining balance when exposed to loud, unpredictable noises compared to younger patients. The study measured the amount of forward and backward sway among participants in both groups.

**Data Summary:**

The experiment's results are summarized in the following table:

|          | Elderly | Young  |
|----------|---------|--------|
| **Mean** | 26.33   | 18.13  |
| **SD**   | 9.77    | 4.09   |
| **n**    | 9       | 8      |

*Mean:* Average amount of sway.
*SD:* Standard deviation, indicating variability.
*n:* Sample size.

**Statistical Analysis:**

The standardized test statistic is calculated using the formula:

\[
t = \frac{26.33 - 18.13}{\sqrt{\left(\frac{9.77^2}{9}\right) + \left(\frac{4.09^2}{8}\right)}}
\]

**Question:**

What value should be substituted for the letter B in the equation to two decimal places?

**Response:**

- Your answer: 2.30

**Assistance:**

If additional help is needed, options include:

- Reading the ebook page on this topic (no penalty).
- Getting a hint (fewer points).
- Viewing the answer (no points).

**Conclusion:**

The study aims to quantify differences in balance under the influence of noise between two age groups, supporting further research on sensory processing and aging.
Transcribed Image Text:**Title: Study on Balance and Noise Among Elderly and Young Patients** **Introduction:** An experiment was conducted to determine if elderly patients experience more difficulty maintaining balance when exposed to loud, unpredictable noises compared to younger patients. The study measured the amount of forward and backward sway among participants in both groups. **Data Summary:** The experiment's results are summarized in the following table: | | Elderly | Young | |----------|---------|--------| | **Mean** | 26.33 | 18.13 | | **SD** | 9.77 | 4.09 | | **n** | 9 | 8 | *Mean:* Average amount of sway. *SD:* Standard deviation, indicating variability. *n:* Sample size. **Statistical Analysis:** The standardized test statistic is calculated using the formula: \[ t = \frac{26.33 - 18.13}{\sqrt{\left(\frac{9.77^2}{9}\right) + \left(\frac{4.09^2}{8}\right)}} \] **Question:** What value should be substituted for the letter B in the equation to two decimal places? **Response:** - Your answer: 2.30 **Assistance:** If additional help is needed, options include: - Reading the ebook page on this topic (no penalty). - Getting a hint (fewer points). - Viewing the answer (no points). **Conclusion:** The study aims to quantify differences in balance under the influence of noise between two age groups, supporting further research on sensory processing and aging.
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