People were polled on how many books they read the previous year. Initial survey results indicate that s = 13.9 books. Complete parts (a) through (d) below. E 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 year within six books with 90% confidence? This 90% confidence level requires subjects. (Round up to the nearest subject.) Partial Critical Value Table Critical Value, za/2 Level of Confidence, (1-a)• 100% Area in Each Tail, 90% 95% 99% 0.05 1.645 0.025 1.96 0.005 2.575 Print Done

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**Survey Analysis on Book Reading Habits**

People were surveyed about the number of books they read in the previous year. Initial survey results show a standard deviation (\(s\)) of 13.9 books. To find out how many subjects are needed to estimate the average number of books read the previous year within six books with 90% confidence, follow the steps below.

**(a)** Calculation of Required Subjects for an Estimate

Determine the number of subjects needed to estimate the mean number of books read within a six-book range, with 90% confidence. Enter the number of subjects required and round up to the nearest whole number.

- The 90% confidence level requires [ ] subjects.

**Partial Critical Value Table Explanation**

A table showing the critical values for different confidence levels is provided:

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

These values help determine the number of subjects required to meet a specified degree of confidence when estimating the average number of books read.
Transcribed Image Text:**Survey Analysis on Book Reading Habits** People were surveyed about the number of books they read in the previous year. Initial survey results show a standard deviation (\(s\)) of 13.9 books. To find out how many subjects are needed to estimate the average number of books read the previous year within six books with 90% confidence, follow the steps below. **(a)** Calculation of Required Subjects for an Estimate Determine the number of subjects needed to estimate the mean number of books read within a six-book range, with 90% confidence. Enter the number of subjects required and round up to the nearest whole number. - The 90% confidence level requires [ ] subjects. **Partial Critical Value Table Explanation** A table showing the critical values for different confidence levels is provided: - **Level of Confidence (\(1-\alpha\)•100%)**: - 90% - 95% - 99% - **Area in Each Tail (\(\alpha/2\))**: - 0.05 for 90% - 0.025 for 95% - 0.005 for 99% - **Critical Value (\(z_{\alpha/2}\))**: - 1.645 for 90% - 1.96 for 95% - 2.575 for 99% These values help determine the number of subjects required to meet a specified degree of confidence when estimating the average number of books read.
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