Answered

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 503 with a margin of error of 23. Which of the following is a reasonable value for the true mean SAT score of graduating high school seniors?



A:447.9

B:529

C:534.5

D:489.4

Verified Answer :

Answer:

Option D:489.4

Step-by-step explanation:

To find the correct answer here, let's find the difference between the mean given (503) with margin of error, and the options

A: |503 - 447.9| = 55.1

B: |503 - 529| = 26

C: |503 - 534.5| = 31.5

D: |503 - 489.4| = 13.6

The sign of the differences do not matter because we are looking for how far apart the given mean is to each option, so we can use absolute values to make it more obvious which answer is correct.

D is the only option with a difference less than or equal to (≤) 23. Therefore, Option D:489.4 is the correct answer.

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