Use the given confidence interval to find the margin of error and the sample mean (68.6,81.8) The sample mean is (Type an integer or a decimal.)

MATLAB: An Introduction with Applications
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### Confidence Interval Analysis

**Objective:** Use the given confidence interval to find the margin of error and the sample mean.

#### Given Confidence Interval:
- **(68.6, 81.8)**

#### Instructions:
1. **Find the Sample Mean:**
   - The sample mean is the midpoint of the confidence interval.
   - Calculate it by averaging the lower and upper bounds of the interval.

2. **Margin of Error:**
   - The margin of error can be found by taking half the difference between the upper and lower bounds of the confidence interval.

3. **Calculation:**
   - **Sample Mean =** \((68.6 + 81.8) / 2\)
   - **Margin of Error =** \((81.8 - 68.6) / 2\)

#### Interactive Section:
- **The sample mean is [  ].** *(Type an integer or a decimal.)*

This exercise will help reinforce understanding of confidence intervals and the concept of sample mean and margin of error in statistical analysis.
Transcribed Image Text:### Confidence Interval Analysis **Objective:** Use the given confidence interval to find the margin of error and the sample mean. #### Given Confidence Interval: - **(68.6, 81.8)** #### Instructions: 1. **Find the Sample Mean:** - The sample mean is the midpoint of the confidence interval. - Calculate it by averaging the lower and upper bounds of the interval. 2. **Margin of Error:** - The margin of error can be found by taking half the difference between the upper and lower bounds of the confidence interval. 3. **Calculation:** - **Sample Mean =** \((68.6 + 81.8) / 2\) - **Margin of Error =** \((81.8 - 68.6) / 2\) #### Interactive Section: - **The sample mean is [ ].** *(Type an integer or a decimal.)* This exercise will help reinforce understanding of confidence intervals and the concept of sample mean and margin of error in statistical analysis.
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