Question: Betsy has developed a new way to teach problem-solving strategies to her sixth-grade students. She used her method on a random sample of 16 sixth-graders. An independent random sample of 12 sixth-graders was taught problem-solving by a traditional method. All students were given the same assessment. Betsy’s students had a mean score of 82 (out of 100 points) with a standard deviation of 8.5. The other group had an average of 75 with a standard deviation of 10. Find a 95% confidence interval for the difference of population means.