QuestionFind the confidence interval for the true mean SAT score given a mean of 449 and a margin of error of 18.

Studdy Solution

STEP 1

Assumptions1. The mean SAT score is449. The margin of error is18

STEP 2

A confidence interval is an estimated range of values which is likely to include an unknown population parameter. It is often expressed in terms of a percentage (for example, a95% confidence interval). The range is calculated from a given set of sample data.In this case, we are given the mean SAT score and the margin of error. The confidence interval can be calculated by subtracting and adding the margin of error from the mean.
$Confidence\, Interval = Mean \pm Margin\, of\, Error$

STEP 3

Now, plug in the given values for the mean SAT score and margin of error to calculate the confidence interval.
$Confidence\, Interval =449 \pm18$

STEP 4

Calculate the lower and upper bounds of the confidence interval.
Lower bound $449 -18 =431$ Upper bound $449 +18 =467$ So, the confidence interval for the true mean SAT score of the graduating high school seniors is [431,467].

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