[7 pts] In a sample of 82 children, the mean age at which they first begin to combine words was 16.53 months, with a standard deviation of 9.57 months. Construct a 95% confidence interval for the mean age at which children first begin to combine words. Verify requirements. Write a final interpretation sentence. CI =* + Z x5/Vn =16.53 + 1.96 x 9.57/V82 =16.53 + 2.071 [14.459 -18.601] The mean age at when children first began to combine words at a 95% confidence interval is between 14.46 and 18.60 months. [3 pts] In a survey of 800 parents, 632 said that music education has a positive effect on academic performance. A 95% confidence interval is constructed from this sample for the proportions of parents who believe that music education has a positive effect: (0.762, 0.818). A music teacher claims that 80% of parents believe that music education has a positive effect. Does the confidence interval support or contradict the teacher's claim? Explain. The confidence interval _ the teacher's claim because