QuestionFind the confidence interval for the true mean SAT score given a mean of 482 and a margin of error of 15.

Studdy Solution

STEP 1

Assumptions1. The mean SAT score is482. The margin of error is15

STEP 2

A confidence interval is a range of values, derived from a statistical calculation, that is likely to contain the value of an unknown parameter. In this case, the parameter is the true mean SAT score.The confidence interval can be calculated using the formula $Confidence\, Interval = Mean \pm Margin\, of\, Error$

STEP 3

Now, plug in the given values for the mean SAT score and the margin of error to calculate the confidence interval.
$Confidence\, Interval =482 \pm15$

STEP 4

Calculate the lower and upper limits of the confidence interval.
Lower limit $482 -15 =467$ Upper limit $482 +15 =497$ So, the confidence interval for the true mean SAT score is [467,497].

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