Construct the indicated confidence interval for the population mean u using the t-distribution. Assume the population is normally distributed. c= 0.90, x= 13.1, s=2.0, n= 10 (Round to one decimal place as needed.)

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**Constructing a Confidence Interval for the Population Mean**

To construct the indicated confidence interval for the population mean (μ) using the t-distribution, follow the guidelines below. Assume the population is normally distributed.

**Given Parameters:**
- Confidence level (c) = 0.90
- Sample mean (\(\bar{x}\)) = 13.1
- Sample standard deviation (s) = 2.0
- Sample size (n) = 10

**Task:**
Calculate the confidence interval and round your answer to one decimal place as needed. 

The confidence interval is represented as:
\[ (\text{Lower limit}, \text{Upper limit}) \]

**Instructions:**
1. Use the t-distribution with n-1 degrees of freedom.
2. Find the t-value for a 90% confidence level.
3. Calculate the margin of error.
4. Determine the confidence interval by adjusting the sample mean by the margin of error.

Proceed to fill in the confidence interval values accordingly.
Transcribed Image Text:**Constructing a Confidence Interval for the Population Mean** To construct the indicated confidence interval for the population mean (μ) using the t-distribution, follow the guidelines below. Assume the population is normally distributed. **Given Parameters:** - Confidence level (c) = 0.90 - Sample mean (\(\bar{x}\)) = 13.1 - Sample standard deviation (s) = 2.0 - Sample size (n) = 10 **Task:** Calculate the confidence interval and round your answer to one decimal place as needed. The confidence interval is represented as: \[ (\text{Lower limit}, \text{Upper limit}) \] **Instructions:** 1. Use the t-distribution with n-1 degrees of freedom. 2. Find the t-value for a 90% confidence level. 3. Calculate the margin of error. 4. Determine the confidence interval by adjusting the sample mean by the margin of error. Proceed to fill in the confidence interval values accordingly.
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