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 2010 were 501 on the critical reading portion, 516 on the math portion, and 492 on the writing portion. Suppose that 100 California students from the class of 2010 were randomly selected and their SAT scores recorded in the following table:

a. Do the data provide sufficient evidence to indicate that the average critical reading score for all California students in the class of 2010 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 2010 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 critical reading scores for all California students in the class of 2010? Explain your answer.

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Critical Reading Math Writing Sample Average Sample Standard Deviation 499 98 514 490 96 92