According to the Nielsen Media Research, children (ages 2-11) spend an average of 21.50 hours watching television per week while teens (ages 12-17) spend an average of 20.67 hours. Based on the sample statistics obtained below, is there sufficient evidence to conclude a difference in average television watching times between the two groups?
Use α = 0.01.
Sample mean: children 22.45 Teens 18.50
Sample variance: children 16.4 Teens 18.2
Sample mean: children 15 Teens 15