Samantha is preparing to do a survey of the language classes taken by ninth and tenth graders at her high school. Each student in ninth and tenth grade takes one language class. From school records, she knows there are 158 students in the ninth grade, as shown in the table.

Scores on the cognitive scale of the bayley-scales of infant and toddler development range from 1 to 19, with a standard deviation of 3. calculate the margin of error in estimating the true mean cognitive scale score, with 99% confidence, if there are 12 infants and toddlers in a sample.