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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 457 with a margin of error of 20 . Which of the following is a reasonable value for the true mean SAT score of graduating high school seniors?
471.2
485.2
428
432.8

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 $457$ with a margin of error of $20$ . Which of the following is a reasonable value for the true mean SAT score of graduating high school seniors? $\newline$ $471$ . $2$ $\newline$ $485$ . $2$ $\newline$ $428$ $\newline$ $432$ . $8$

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Convert between Celsius and Fahrenheit

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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

457

with a margin of error of

20

. Which of the following is a reasonable value for the true mean SAT score of graduating high school seniors?

\newline

471

.

2

\newline

485

.

2

\newline

428

\newline

432

.

8

Identify Range of True Mean: Identify the range of the true mean SAT score using the given mean and margin of error. The margin of error means that the true mean could be as low as $457 - 20$ and as high as $457 + 20$ .
Calculate Lower Limit: Calculate the lower limit of the true mean SAT score. $\newline$ Lower limit = Mean - Margin of error = $457 - 20 = 437$
Calculate Upper Limit: Calculate the upper limit of the true mean SAT score. $\newline$ Upper limit = Mean + Margin of error = $457 + 20 = 477$
Determine Values in Range: Determine which of the given values fall within the calculated range. $\newline$ The values $471.2$ and $432.8$ fall within the range of $437$ to $477$ , while the values $485.2$ and $428$ do not.
Select Reasonable Values: Select the reasonable values for the true mean SAT score. The reasonable values are $471.2$ and $432.8$ .

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