For each level of confidence c below, determine the corresponding normal confidence interval. Assume each confidence interval is constructed for the same sam statistics. 17. c = 0.88 18. c = 0.90 19. c= 0.95 20. c= 0.99 54.5 60.7 55.2 60 x= 57.6 x= 57.6 ++ +> 53 54 55 56 57 58 59 60 61 62 53 54 55 56 57 58 59 60 61 62 55.6 59.6 55.7 59.5 x = 57.6 x = 57.6 → + + 53 54 55 56 57 58 59 60 61 62 53 54 55 56 57 58 59 60 61 62 Drag each normal confidence interval given above to the level of confidence c. 17. 18. 19. 20.

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### Educational Content on Confidence Intervals

### Determining Corresponding Normal Confidence Intervals

For each level of confidence \( c \) below, determine the corresponding normal confidence interval. Assume each confidence interval is constructed for the same sample statistics.

#### Confidence Levels:
- **17.** \( c = 0.88 \)
- **18.** \( c = 0.90 \)
- **19.** \( c = 0.95 \)
- **20.** \( c = 0.99 \)

#### Diagrams Explained:

There are four horizontal number lines, each representing a confidence interval.

1. **First Interval**:
   - Range: From 54.5 to 60.7
   - \( \bar{x} = 57.6 \) (marked in red)

2. **Second Interval**:
   - Range: From 55.2 to 60
   - \( \bar{x} = 57.6 \) (marked in red)

3. **Third Interval**:
   - Range: From 55.6 to 59.6
   - \( \bar{x} = 57.6 \) (marked in red)

4. **Fourth Interval**:
   - Range: From 55.7 to 59.5
   - \( \bar{x} = 57.6 \) (marked in red)

#### Instruction:

Drag each normal confidence interval given above to the level of confidence \( c \) specified:

- **17.**
- **18.**
- **19.**
- **20.**

### Conclusion

By exploring these intervals, you can enhance your understanding of how confidence levels affect the width of confidence intervals. Each interval corresponds to different levels of confidence, and they are ordered by increasing precision from broadest to narrowest range.
Transcribed Image Text:### Educational Content on Confidence Intervals ### Determining Corresponding Normal Confidence Intervals For each level of confidence \( c \) below, determine the corresponding normal confidence interval. Assume each confidence interval is constructed for the same sample statistics. #### Confidence Levels: - **17.** \( c = 0.88 \) - **18.** \( c = 0.90 \) - **19.** \( c = 0.95 \) - **20.** \( c = 0.99 \) #### Diagrams Explained: There are four horizontal number lines, each representing a confidence interval. 1. **First Interval**: - Range: From 54.5 to 60.7 - \( \bar{x} = 57.6 \) (marked in red) 2. **Second Interval**: - Range: From 55.2 to 60 - \( \bar{x} = 57.6 \) (marked in red) 3. **Third Interval**: - Range: From 55.6 to 59.6 - \( \bar{x} = 57.6 \) (marked in red) 4. **Fourth Interval**: - Range: From 55.7 to 59.5 - \( \bar{x} = 57.6 \) (marked in red) #### Instruction: Drag each normal confidence interval given above to the level of confidence \( c \) specified: - **17.** - **18.** - **19.** - **20.** ### Conclusion By exploring these intervals, you can enhance your understanding of how confidence levels affect the width of confidence intervals. Each interval corresponds to different levels of confidence, and they are ordered by increasing precision from broadest to narrowest range.
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