Answer Happy

5. A mathematics test is given to a class of 35 students selected randomly from High School 1 and also to a class of 35 students from High School 2. For the class in High School 1, the sample mean was 75 with a sample standard deviation of 10. In High School 2, the sample mean was 65 and the sample standard deviation was 8. (a) (5 points). High School 1 claims that their population average score is higher than 80. Do you have evidence to support this claim? Test at a=0.05. (Hint: check the sample size to decide which test statistic you want to use) (b) (5 points). Is there a significant difference in the population mean test scores between the two high schools? Test at a=0.05.