How do California high school students compare to students nationwide in their college readiness, as measured by their SAT scores? The national average scores for the class of 2005 were 508 on the verbal portion and 520 on the math portion. Suppose that 100 California students from the class of 2005 were randomly selected and their SAT scores recorded in the following table:

a. Do the data provide sufficient evidence to indicate that the average verbal score for all California students in the class of 2005 is different from the national average? Test using α = .05.

b. Do the data provide sufficient evidence to indicate that the average math score for all California students in the class of 2005 is different from the national average? Test using α = .05.

c. Could you use this data to determine if there is a difference between the average math and verbal scores for all California students in the class of 2005? Explain your answer.