Juliana got a score of 565 on the math section of SAT last year. The standard deviation of the math section scores in 2019 was 117. Recent evidence of reliability suggests a reliability coefficient of .92 for the math section.

What is the standard error measurement (SEM) for Juliana's math score (to 2 decimal points)?

Based on her SEM, fill in the blanks below:

We can be 68% (actually 68.26%) sure that her true score falls between ________ and ________

We can be 95% (actually 95.44%) sure that her true score falls between ________ and ________