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A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was 454 with a margin of error of 17 . Write a confidence interval for the true mean SAT score of the graduating high school seniors.

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A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was $454$ with a margin of error of $17$ . Write a confidence interval for the true mean SAT score of the graduating high school seniors. $\newline$ (,)

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Interpret confidence intervals for population means

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Q. A study by the department of education of a certain state was trying to determine the mean SAT scores of the graduating high school seniors. The study found that the mean SAT score was

454

with a margin of error of

17

. Write a confidence interval for the true mean SAT score of the graduating high school seniors.

\newline

(______,______)

Understand Information: Understand the given information. $\newline$ The mean SAT score is given as $454$ , and the margin of error is given as $17$ . The confidence interval will be the range from the mean minus the margin of error to the mean plus the margin of error.
Calculate Lower Bound: Calculate the lower bound of the confidence interval. $\newline$ Lower bound = Mean - Margin of Error $\newline$ Lower bound = $454 - 17$ $\newline$ Lower bound = $437$
Calculate Upper Bound: Calculate the upper bound of the confidence interval. $\newline$ Upper bound = Mean + Margin of Error $\newline$ Upper bound = $454 + 17$ $\newline$ Upper bound = $471$
Write Confidence Interval: Write the confidence interval. $\newline$ The confidence interval is the range from the lower bound to the upper bound, which is $(437, 471)$ .

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