3. The mean score of a Grade 5 class in a student-conducted examination is 87. While conducting the study, the students informed the classroom teachers that some of their students showed unusual potential for intellectual gains. Soon after, the six students identified to teachers as having potential for unusual intellectual gains took the examination again. The mean and standard deviation of the six students is 96 and 12 respectively. Is there a significant difference between the mean score of the six students identified as having unusual potential for intellectual gains from the mean score of the whole class? Use a 99% confidence Interval