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In: Statistics and Probability

1). A sample of 8 football teams in the Fresno Conference scored a mean of 20.8...

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.

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