QuestionFind the confidence interval for the mean SAT score given a mean of 454 and a margin of error of 27.

Studdy Solution

STEP 1

Assumptions1. The mean SAT score is454. . The margin of error is27.

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 unknown parameter is the true mean SAT score of the graduating high school seniors.
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.
$Confidence\, Interval =454 \pm27$

STEP 4

Calculate the lower and upper bounds of the confidence interval.
Lower bound $454 -27 =427$ Upper bound $454 +27 =481$ So, the confidence interval for the true mean SAT score of the graduating high school seniors is427 to481.

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