(d) How many subjects are needed to estimate the mean number of books read the previous year within four books with 99% confidence? This 99% confidence level requires subjects. (Round up to the nearest subject.)

MATLAB: An Introduction with Applications
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The image presents a statistical analysis task related to a survey on the number of books people read in the previous year. Below is a transcription suitable for an educational website.

---

**Survey Analysis on Book Reading Habits**

People were surveyed on the number of books they read in the previous year. The initial survey results show a standard deviation (s) of 13.3 books.

### Questions and Solutions

1. **(a) Sample Size for 95% Confidence Level:**
   - To achieve a 95% confidence level, the survey requires **43 subjects**. (The result is rounded up to the nearest whole subject.)

2. **(b) Estimation Accuracy Within Two Books:**
   - How many subjects are needed to estimate the mean number of books read in the previous year within two books with 95% confidence?
     - A confidence level of 95% requires **170 subjects**. (Rounded to the nearest subject.)

3. **(c) Effect of Doubling Accuracy on Sample Size:**
   - What effect does doubling the required accuracy have on the sample size?
     - Doubling the required accuracy nearly **quadruples the sample size**. (Correct option: D)

4. **(d) Estimation Accuracy Within Four Books with 99% Confidence:**
   - How many subjects are needed to estimate the mean number of books read the previous year within four books with 99% confidence?
     - The calculation requires entering the result in the answer box for verification.

### Instructions

- Enter your answer in the provided answer box and click "Check Answer" to validate your response.

---

This structure highlights the mathematical calculations involved in determining the sample sizes needed for varying levels of accuracy and confidence.
Transcribed Image Text:The image presents a statistical analysis task related to a survey on the number of books people read in the previous year. Below is a transcription suitable for an educational website. --- **Survey Analysis on Book Reading Habits** People were surveyed on the number of books they read in the previous year. The initial survey results show a standard deviation (s) of 13.3 books. ### Questions and Solutions 1. **(a) Sample Size for 95% Confidence Level:** - To achieve a 95% confidence level, the survey requires **43 subjects**. (The result is rounded up to the nearest whole subject.) 2. **(b) Estimation Accuracy Within Two Books:** - How many subjects are needed to estimate the mean number of books read in the previous year within two books with 95% confidence? - A confidence level of 95% requires **170 subjects**. (Rounded to the nearest subject.) 3. **(c) Effect of Doubling Accuracy on Sample Size:** - What effect does doubling the required accuracy have on the sample size? - Doubling the required accuracy nearly **quadruples the sample size**. (Correct option: D) 4. **(d) Estimation Accuracy Within Four Books with 99% Confidence:** - How many subjects are needed to estimate the mean number of books read the previous year within four books with 99% confidence? - The calculation requires entering the result in the answer box for verification. ### Instructions - Enter your answer in the provided answer box and click "Check Answer" to validate your response. --- This structure highlights the mathematical calculations involved in determining the sample sizes needed for varying levels of accuracy and confidence.
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