In: Statistics and Probability
1). A sample of 8 football teams in the Fresno
Conference scored a mean of 20.8 points per game in the 2019
season, with a known population standard deviation of 3.2 points. A
sample of 10 football teams in the Madera Conference scored a mean
of 24.5 points per game in the 2019 season, with a known population
standard deviation of 2.6 points. At the 0.01 significance level,
can we conclude that the mean points scored in the Fresno
Conference is less than the mean points scored in the Madera
Conference?
2). A sample of 50 students at Bullyard High School found that 4 of
them had green eyes. A sample of 40 students at Cowtown High School
found that 5 of them had green eyes. At the 0.02 significance
level, can we conclude that there is a difference in the proportion
of students with green eyes between Bullyard and Cowtown High
School.