Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed and that o = 3 psi. A random sample of 8 specimens is tested, and the average breaking strength is found to be 99 psi. Find a 95% two- sided confidence interval on the true mean breaking strength. Round the answers to 1 decimal place. i

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**Problem: Confidence Interval for Breaking Strength**

Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed and that \( \sigma = 3 \) psi. A random sample of 8 specimens is tested, and the average breaking strength is found to be 99 psi. Find a 95% two-sided confidence interval on the true mean breaking strength. Round the answers to 1 decimal place.

\[ \underline{\hspace{1cm}} \leq \mu \leq \underline{\hspace{1cm}} \]

**Explanation:**

This problem involves calculating the confidence interval for the true mean breaking strength of yarn. The parameters given include:
- Sample size (\( n \)) = 8
- Sample mean (\( \bar{x} \)) = 99 psi
- Population standard deviation (\( \sigma \)) = 3 psi
- Confidence level = 95%

**Note:**

The image contains two input boxes, which are placeholders for the calculated values of the confidence interval's lower and upper limits. These are the values you need to determine and provide when calculating the interval.
Transcribed Image Text:**Problem: Confidence Interval for Breaking Strength** Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed and that \( \sigma = 3 \) psi. A random sample of 8 specimens is tested, and the average breaking strength is found to be 99 psi. Find a 95% two-sided confidence interval on the true mean breaking strength. Round the answers to 1 decimal place. \[ \underline{\hspace{1cm}} \leq \mu \leq \underline{\hspace{1cm}} \] **Explanation:** This problem involves calculating the confidence interval for the true mean breaking strength of yarn. The parameters given include: - Sample size (\( n \)) = 8 - Sample mean (\( \bar{x} \)) = 99 psi - Population standard deviation (\( \sigma \)) = 3 psi - Confidence level = 95% **Note:** The image contains two input boxes, which are placeholders for the calculated values of the confidence interval's lower and upper limits. These are the values you need to determine and provide when calculating the interval.
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