The average amount of time boys and girls aged seven to eleven playing sports each day is believed to be the same. A study is done and data are collected, resulting in the table below. Each population has a normal distribution. Sample Size Average Number of Hours Sample Standard Playing Sports per Day Deviation Girls 9 2 0.866 Boys 16 3.2 1.00 Is there a difference in the mean amount of time boys and girls aged seven to 11 play sports each day? Test at the 5% level of significance