Construct 90%, 95%, and 99% confidence intervals to estimate µ from the following data. State the point estimate. Assume the dat come from a normally distributed population. 12.5 11.6 11.9 12.7 12.5 11.4 12.0 11.7 11.8 12.5 Appendix A Statistical Tables (Round standard deviation to 4 decimal places, e.g. 25.3172. Round your answers to 2 decimal places, e.g. 25.31.) 90% confidence interval: 95% confidence interval: 99% confidence interval: The point estimate is

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## Confidence Interval Construction

### Problem Statement:
Construct 90%, 95%, and 99% confidence intervals to estimate \(\mu\) from the following data. State the point estimate. Assume the data come from a normally distributed population.

### Data:
- 12.5
- 11.6
- 11.9
- 12.7
- 12.5
- 11.4
- 12.0
- 11.7
- 11.8
- 12.5

### Instructions:
Use Appendix A Statistical Tables for calculations. Round the standard deviation to 4 decimal places, e.g., 25.3172. Round your answers to 2 decimal places.

### Confidence Intervals:
- **90% confidence interval:**
  \[ \underline{\hspace{2cm}} \leq \mu \leq \underline{\hspace{2cm}} \]

- **95% confidence interval:**
  \[ \underline{\hspace{2cm}} \leq \mu \leq \underline{\hspace{2cm}} \]

- **99% confidence interval:**
  \[ \underline{\hspace{2cm}} \leq \mu \leq \underline{\hspace{2cm}} \]

### Point Estimate:
The point estimate is \(\underline{\hspace{3cm}}\).
Transcribed Image Text:## Confidence Interval Construction ### Problem Statement: Construct 90%, 95%, and 99% confidence intervals to estimate \(\mu\) from the following data. State the point estimate. Assume the data come from a normally distributed population. ### Data: - 12.5 - 11.6 - 11.9 - 12.7 - 12.5 - 11.4 - 12.0 - 11.7 - 11.8 - 12.5 ### Instructions: Use Appendix A Statistical Tables for calculations. Round the standard deviation to 4 decimal places, e.g., 25.3172. Round your answers to 2 decimal places. ### Confidence Intervals: - **90% confidence interval:** \[ \underline{\hspace{2cm}} \leq \mu \leq \underline{\hspace{2cm}} \] - **95% confidence interval:** \[ \underline{\hspace{2cm}} \leq \mu \leq \underline{\hspace{2cm}} \] - **99% confidence interval:** \[ \underline{\hspace{2cm}} \leq \mu \leq \underline{\hspace{2cm}} \] ### Point Estimate: The point estimate is \(\underline{\hspace{3cm}}\).
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