\( Z_{0.05}=1.65, Z_{0.025}=1.96, \chi_{0.05,5}^{2}=11.07, \chi_{0.05,6}^{2}=12.59, \chi_{0.05,7}^{2}=14.07 \)

1. A dice is thrown 90 times. Different faces occurred 11, 17, 20, 15, 13, 14 times, respectively. Test whether the dice is balanced. (10 points)