8. The heights (in cm) of an SRS of nine children are given below at their 11$^{th}$ and 12$^{th}$ birthdays: Child 1 2 3 4 5 6 7 8 9 11$^{th}$ Birthday 113 116 106 105 106 118 116 103 115 12$^{th}$ Birthday 119 120 111 109 110 122 119 109 121 Find a 95% confidence interval for the average growth of children between the ages of 11 and 12. State any assumptions you need to make.
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