The manager of an SAT review program wonders whether the ethnic background of a student and the program's instructor affect the student's performance on the SAT. Four ethnicities and three instructors are examined. Ten student scores for each combination are sampled. A portion of the data is shown in the following table.

In a report, use the sample information and α = 0.05 to:
1. Determine if there is any interaction between instructor and ethnicity.
2. Establish whether average SAT scores differ by instructor.
3. Establish whether average SAT scores differ by ethnicity.

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White 1587 1562 Black 1300 1255 Asian-American exican-American 1660 1576 1366 1531 Instructor A 1598 1539 1296 1286 1535 1643 1345 1357 Instructor B 1483 1525 1289 1272 1641 1633 1400 1421 Instructor C