### Calculating the Sample Mean and Margin of Error#### Problem Statement**Use the given confidence interval to find the margin of error and the sample mean.****Confidence Interval:** (13.2, 20.2)---#### Solution Steps1. **Sample Mean Calculation:** - **Formula:** \( \text{Sample Mean} = \frac{\text{Lower Limit} + \text{Upper Limit}}{2} \) - Plug in the values from the confidence interval: \( \frac{13.2 + 20.2}{2} \) - Simplify to get the sample mean: \( \frac{33.4}{2} = 16.7 \) - **Solution:** - The sample mean is **16.7**.2. **Margin of Error Calculation:** - **Formula:** \( \text{Margin of Error} = \text{Upper Limit} - \text{Sample Mean} \) - Subtract the sample mean from the upper limit: \( 20.2 - 16.7 = 3.5 \) - **Solution:** - The margin of error is **3.5**.#### User Input Field- The sample mean is: [16.7] (Type an integer or a decimal.)---In this exercise, you learned how to calculate the sample mean and margin of error given a confidence interval. These concepts are essential in statistics for estimating population parameters.

Given: confidence interval = (13.2, 20.2)

Answered: Use the given confidence interval to…

A First Course in Probability (10th Edition)

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Author:Sheldon Ross

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Chapter1: Combinatorial Analysis

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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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