Given the interval estimate for the mean (9.2, 18.8), the point estimate for the mean is and the margin of error is

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**Interval Estimate and Point Estimate Explanation**

Given the interval estimate for the mean (9.2, 18.8), the point estimate for the mean is the average of the two values. To calculate the point estimate, add the lower limit (9.2) and the upper limit (18.8) of the interval and divide by 2. This yields:

\[ \text{Point Estimate} = \frac{9.2 + 18.8}{2} = 14.0 \]

Additionally, the margin of error is calculated by taking half the difference between the upper and lower limits of the interval:

\[ \text{Margin of Error} = \frac{18.8 - 9.2}{2} = 4.8 \]

These concepts are fundamental in statistics for estimating population parameters based on sample data.
Transcribed Image Text:**Interval Estimate and Point Estimate Explanation** Given the interval estimate for the mean (9.2, 18.8), the point estimate for the mean is the average of the two values. To calculate the point estimate, add the lower limit (9.2) and the upper limit (18.8) of the interval and divide by 2. This yields: \[ \text{Point Estimate} = \frac{9.2 + 18.8}{2} = 14.0 \] Additionally, the margin of error is calculated by taking half the difference between the upper and lower limits of the interval: \[ \text{Margin of Error} = \frac{18.8 - 9.2}{2} = 4.8 \] These concepts are fundamental in statistics for estimating population parameters based on sample data.
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