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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 457457 with a margin of error of 2020 . Which of the following is a reasonable value for the true mean SAT score of graduating high school seniors?\newline471471.22\newline485485.22\newline428428\newline432432.88

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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 457457 with a margin of error of 2020 . Which of the following is a reasonable value for the true mean SAT score of graduating high school seniors?\newline471471.22\newline485485.22\newline428428\newline432432.88
  1. 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 457−20457 - 20 and as high as 457+20457 + 20.
  2. Calculate Lower Limit: Calculate the lower limit of the true mean SAT score.\newlineLower limit = Mean - Margin of error = 457−20=437457 - 20 = 437
  3. Calculate Upper Limit: Calculate the upper limit of the true mean SAT score.\newlineUpper limit = Mean + Margin of error = 457+20=477457 + 20 = 477
  4. Determine Values in Range: Determine which of the given values fall within the calculated range.\newlineThe values 471.2471.2 and 432.8432.8 fall within the range of 437437 to 477477, while the values 485.2485.2 and 428428 do not.
  5. Select Reasonable Values: Select the reasonable values for the true mean SAT score. The reasonable values are 471.2471.2 and 432.8432.8.

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