People were polled on how many books they read the previous year. Initial survey results indicate that s = 13.3 books. Complete parts (a) through (d) below Click the icon to view a partial table of critical values. (a) How many subjects are needed to estimate the mean number of books read the previous vear within six books with 90% confidence? This 90% confidence level requires 14 subjects. (Round up to the nearest subject.) (b) How many subjects are needed to estimate the mean number of books read the previous year within three books with 90% confidence? This 90% confidence level requires subjects. (Round up to the nearest subject.) Partial critical value table Level of Confidence, (1- a) • 100% Area in Each Tail, Critical Value, za/2 1.645 90% 95% 99% 0.05 0.025 1.96 0.005 2.575 Print Done

MATLAB: An Introduction with Applications
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### Text Transcription for Educational Website

**Survey Overview:**
People were polled on how many books they read the previous year. Initial survey results indicate that the standard deviation \( s = 13.3 \) books. Complete parts (a) through (d) below.

**Questions:**

**(a)** How many subjects are needed to estimate the mean number of books read the previous year within six books with 90% confidence?  
*This 90% confidence level requires 14 subjects. (Round up to the nearest subject.)*

**(b)** How many subjects are needed to estimate the mean number of books read the previous year within three books with 90% confidence?  
*This 90% confidence level requires \(\square\) subjects. (Round up to the nearest subject.)*

---

**Partial Critical Value Table:**

This is a table used to determine the critical values needed for statistical confidence calculations.

| Level of Confidence, \((1 - \alpha) \times 100\%\) | Area in Each Tail, \(\alpha\) | Critical Value, \(z_{\alpha/2}\) |
|:--------------------------------------------------:|:-----------------------------:|:--------------------------------:|
| 90%                                                | 0.05                          | 1.645                            |
| 95%                                                | 0.025                         | 1.96                             |
| 99%                                                | 0.005                         | 2.575                            |

The table shows three levels of confidence: 90%, 95%, and 99%. For each level, the corresponding area in each tail (\(\alpha\)) and the critical value (\(z_{\alpha/2}\)) are provided. These values are essential in determining the sample size and confidence intervals needed for accurate statistical estimates.

**Note:** The critical value for a 90% confidence level is 1.645.

---
Transcribed Image Text:### Text Transcription for Educational Website **Survey Overview:** People were polled on how many books they read the previous year. Initial survey results indicate that the standard deviation \( s = 13.3 \) books. Complete parts (a) through (d) below. **Questions:** **(a)** How many subjects are needed to estimate the mean number of books read the previous year within six books with 90% confidence? *This 90% confidence level requires 14 subjects. (Round up to the nearest subject.)* **(b)** How many subjects are needed to estimate the mean number of books read the previous year within three books with 90% confidence? *This 90% confidence level requires \(\square\) subjects. (Round up to the nearest subject.)* --- **Partial Critical Value Table:** This is a table used to determine the critical values needed for statistical confidence calculations. | Level of Confidence, \((1 - \alpha) \times 100\%\) | Area in Each Tail, \(\alpha\) | Critical Value, \(z_{\alpha/2}\) | |:--------------------------------------------------:|:-----------------------------:|:--------------------------------:| | 90% | 0.05 | 1.645 | | 95% | 0.025 | 1.96 | | 99% | 0.005 | 2.575 | The table shows three levels of confidence: 90%, 95%, and 99%. For each level, the corresponding area in each tail (\(\alpha\)) and the critical value (\(z_{\alpha/2}\)) are provided. These values are essential in determining the sample size and confidence intervals needed for accurate statistical estimates. **Note:** The critical value for a 90% confidence level is 1.645. ---
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