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A study was commissioned to find the mean weight of the residents in certain town. The study found a confidence interval for the mean weight to be between 186 pounds and 200 pounds. What is the margin of error on the survey? Do not write
+- on the margin of error.
Answer:____

A study was commissioned to find the mean weight of the residents in certain town. The study found a confidence interval for the mean weight to be between $186$ pounds and $200$ pounds. What is the margin of error on the survey? Do not write $\pm$ on the margin of error. $\newline$ Answer:_______

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Interpret confidence intervals for population means

Full solution

Q. A study was commissioned to find the mean weight of the residents in certain town. The study found a confidence interval for the mean weight to be between

186

pounds and

200

pounds. What is the margin of error on the survey? Do not write

\pm

on the margin of error.

\newline

Answer:_______

Calculate midpoint: Calculate the midpoint of the confidence interval to find the estimated mean weight. $\newline$ Midpoint = (Lower limit of confidence interval + Upper limit of confidence interval) / $2$ $\newline$ Midpoint = $(186 + 200) / 2$ $\newline$ Midpoint = $386 / 2$ $\newline$ Midpoint = $193$
Determine margin of error: Determine the margin of error by subtracting the estimated mean weight from the upper limit of the confidence interval (or subtracting the estimated mean weight from the lower limit, as the margin of error is the same on both sides). $\newline$ Margin of error $=$ Upper limit of confidence interval - Midpoint $\newline$ Margin of error $= 200 - 193$ $\newline$ Margin of error $= 7$

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